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Prealgebra Daily Warm-Ups Week 1 Monday 1. Evaluate 2. Evaluate 3. 3 2+9 3 5 5+6 6 64.6 0.002 = 4. Refer to Graph B. 5. Katie took 7 math What is the tests in one allowance for a 12- semester. What is year-old? the range of her test scores? 90, 73, 84, 91, 86, 76, 94 Week 1 Tuesday 1. Evaluate 2. Evaluate 3. 43 53 369.3 0.03 = 4. Refer to Graph B. 5. The weekly How much more salaries of six does a 14-year-old employees at a receive for an restaurant are allowance than an $240, $120, $180, 11-year-old? $180, $150 and $210. Find the mean. Order of Operations including Integers and Algebraic Expressions August 2007 Prealgebra Daily Warm-Ups Week 1 Wednesday 1. Evaluate 2. Evaluate 3. a+b c-b 12.2 200 = when a=2 and b=3. when c=12 and b=5. 4. Refer to Graph B. 5. How much money is paid out by a family 52.55 100 = with 14-year-old twins and a 12-year- old brother? Week 1 Thursday 1.Evaluate 2. Evaluate 3. The weights of 9 students, measured (4)(6) (8)(3) in pounds, are recorded below. 2 6 Find the mean weight. 137, 120, 115, 119, 122, 120, 135, 130, 124 4. Find the median 5. Find the mode of of the weights in #3. the weights in #3. Order of Operations including Integers and Algebraic Expressions August 2007 Prealgebra Daily Warm-Ups Week 2 Monday 1. 2. 3. Evaluate 1 2 3 1 12 – 2 6 6 3 8 4 4. Refer to Graph C. 5. The grade point What percent of averages of 10 Ethan’s budget is students are listed spent on below. Find the entertainment? median grade point average. 3.25, 3.52, 2.50, 2.82, 3.87, 1.85, 1.94, 2.53, 2.54, 2.80 Week 2 Tuesday 1. 2. 3. Evaluate 11 3 3 1 7 + 3(12 - 2) - = - = 15 10 5 10 4. 5. Mr. West listed 10 whole numbers 3,000 0.005 = on the blackboard. What is the range of these integers? 14, 12, 7, 0, 5, 8, 17, 11, 19, 18 Fractions August 2007 Prealgebra Daily Warm-Ups Week 2 Wednesday 1. 2. 3. Refer to Graph C. What 1 2 5 7 percent of Ethan’s budget is spent on 3 5 4 6 either food or housing? 4. 5. Refer to Graph C. If Ethan has a total 8,200 0.02 = of $2000 to spend, how much does he plan to spend on food? Week 2 Thursday 1. 2. 3. Evaluate 1 3 3 2 5–2+7 3 2 5 10 5 4. At a recent 5. Find the mean of meeting of dieters the weight losses in the following total #4. pounds lost were recorded by the members: 5, 3, 4, 7, 11, 6, 10, 6, 10, 5. Find the median for these losses. Fractions August 2007 Prealgebra Daily Warm-Ups Week 3 Monday 1. What is true about 2. 3. the product of 0.5 and a number greater than 0.25 0.7 = 11 1 zero, but less than one? - = A. less than 0.25 12 3 A. less than 0.5 B. 0.25 B. equal to 0.5 C. greater than 1 C. greater than one D. greater than 0.25, D. greater than 0.5 but but less than 1 less than one 4. Evaluate 5. Find the mode of the following test scores: 2 10 89, 77, 91, 81, 77, 89, 84, 95, 90, 93 Week 3 Tuesday 1. What is true about 2. What is true about 3. the quotient of 20 and the quotient of 5 and 1 1 5 3 ? ? 2 4 = 12 5 A. less than 20 A. less than 5 B. greater than 20 B. greater than 5 C. greater than 20, but C. greater than 5, but less than zero less than zero 1 1 D. greater than D. greater than 2 4 but less than 20 but less than 20 4. 5. The number of points scored in a series 45 0.1 = of football games is listed below. Which score occurred most often? 7, 13, 18, 24, 9, 3, 18 Multiply or divide by 0<x<1 or x>1 August 2007 Prealgebra Daily Warm-Ups Week 3 Wednesday 1. For what values of 2. For what values of 3. Evaluate x will 30 x give an x will 10 x give an answer greater than 30? answer greater than 10? a b A. any values less than A. any values less than when a=3 and b=7. zero zero B. any values greater B. any values greater than one than one C. values between zero C. values between zero and one and one D. no values will give D. no values give you you an answer an answer greater greater than 30 than 10 4. Refer to Graph C. 5. What factional part (in simplest terms) of 631 0.001 = Ethan’s budget is spent on housing? Week 3 Thursday 1. What is true about 2. 3. the product of 0.25 and a number between zero 0.25 0.9 = 3 9 and one? A. less than 0.25 10 10 A. less than 0.25 B. 0.25 B. equal to 0.25 C. greater than 0.25 C. greater than 1 4. The Smith family 5. What is the median drove through 7 states of the gas prices in #4? on their summer vacation. What is the range of the gasoline prices they saw on their trip? $2.19, $2.05, $2.23, $2.09, $2.14, $2.25, $2.21 Multiply or divide by 0<x<1 or x>1 August 2007 Prealgebra Daily Warm-Ups Week 4 Monday 1. Write the 2. Write the 3. How does expression: expression: 1 12 compare to 12? 3 Seven increased by a Six increased by a number w. number x. A. <12 B. =12 C. >12 D. cannot be determined 4. 5. Ms. Johnson assigned the following 3 1 number of problems for + = homework on 10 4 6 different days. What is the mode? 20, 35, 35, 40, 39, 25, 42, 36, 37, 30 Week 4 Tuesday 1. Write the equation: 2. Write the equation: 3. For what values of n will 5 n give an Nine less a number is Twelve less a number is answer greater than 5? two. three. A. n<0 B. n>1 C. 0<n<1 D. no values of n give you an answer greater than 5 4. Evaluate 5. A pitcher recorded c the following number of strikeouts in a season: a 9, 5, 8, 10, 11, 8, 9, 10, when c=15 and a=3. 13, 10, 12, 8. Find the median of these values. Writing expressions and equations August 2007 Prealgebra Daily Warm-Ups Week 4 Wednesday 1. Write the 2. Write the 3. expression: expression: 5 7 Four less than a Five less than a - number x. number y. 8 12 = 4. Refer to Venn 5. Diagram D. How many students have 23,568 + 2,567 = at least one cat? Week 4 Thursday 1. Write the 2. Write the 1 3. How does 12 equation: equation: 3 1 compare to ? Five less than twice a Two less than twice a 3 number equals five. number equals two. 1 A. < 3 1 B. = 3 1 C. > 3 D. cannot be determined 4. Evaluate 5. A marathon race was completed by 5 4 (5 + 1) 2 runners. What is the range of the times? 2.7 hours, 8.3 hours, 3.5 hours, 5.1 hours, 4.9 hours, 4.2 hours Writing expressions and equations August 2007 Prealgebra Daily Warm-Ups Week 5 Monday 1. Explain 2 ways to 2. Explain 2 ways to 3. Write the expression. measure line segment measure CD . AB. 2 of a number k 2” 4” 7cm 2cm 3 A B C D increased by eight. 4. For what values of n 5. Find the mean of the will 20 n give an following data set: answer less than 20? 21, 34, 26, 39, 27, 27, A. n<1 22, 23, 35, 33, 36 B. n>1 C. 1<n<2 D. no values of n give an answer greater than 20 Week 5 Tuesday 1. The price of the 2. To find the volume 3. Write the expression. lunch items were 50¢, of a rectangular prism 30¢ and $1.25. Fred multiply the length The difference between added 50¢ and 30¢ then times the width times a number m and 12. $1.25. Alice added 30¢ the height. The length and $1.25 then 50¢. is 9 cm, the width is 3 Who is correct and cm and the height is 5 why? cm. Juan did (9 3) 5 and Sarah did (3 5) 9 Who is correct and why? 4. 5. Find the range of these quiz scores: 3 5 93, 78, 83, 88, 90, 71, 5 6 86 Problem solving with properties and equivalent representations of numbers August 2007 Prealgebra Daily Warm-Ups Week 5 Wednesday 1. Frank had $8 and 2. Maria made 3 3. What happens Joe had $4. Each boy dozen cookies and when you multiply a was given $5 more. Sam made 5 dozen number between zero Explain two ways to cookies. That was not and one by a number find the total amount enough cookies so greater than one? of money of the boys each had to make 4 together. dozen more cookies. A. It has a value Explain two ways to less than 0. find the combined B. It has a value total number of dozen less than 1 but cookies. greater than 0. C. It has a value greater than 1. D. It has a value of 1. 4. Evaluate 5. Refer to Venn Diagram D. How 14 – 6 2 + 5 many students have at least one dog and one cat? Week 5 Thursday 1. I have $20 and 2. I went to the mall 3. Write the multiplied it by one. with $50. I spend $20 expression. How much money do I for a shirt, $25 for now have? Write the shoes, and $5 at the Six less than 3 of problem. food court. How 4 much money do I now the number. have? Write the problem. 4. 5. Evaluate 2 9 100 5 2 + 10 21 10 Problem solving with properties and equivalent representations of numbers August 2007 Prealgebra Daily Warm-Ups Week 6 Monday 1. Identify the rule 2. Identify the rule 3. True or false. to find the nth term in to find the nth term in the following the following Multiplying $8 times sequence: sequence: 5 is the same as 5 times $8. 4, 7, 10, 13, … 5, 9, 13, 17, … 4. Write the equation: 5. The mean price of 5 items is $7.00. The The square of a prices of the first four number is sixteen. items are $6.50, $8.00, $5.50, and $6.00. How much does the fifth item cost? Week 6 Tuesday 1. Identify the rule 2. Identify the rule 3. Betsy had $5 and to find the nth term in to find the nth term in James, $10. They the following the following were both given $20. sequence: sequence: Write 2 ways to find the total amount of 1, 3, 5, 7, … 3, 7, 11, 15, … money. 4. Evaluate 5. On a cold winter day in January, the (5 + 2) 4 + 3 temperature for 9 cities is recorded in Fahrenheit. What is the mode of the temperatures? -8, 0, -3, 4, 12, 0, 5, -1, 0 Patterns August 2007 Prealgebra Daily Warm-Ups Week 6 Wednesday 1. Write the rule for 2. Write the rule for 3. Write the equation: the nth term: the nth term: The sum of two 1 1 1 1 3 consecutive numbers 1, 1 , 2, 2 , … 1 ,1 ,1 ,… is 37. 2 2 4 2 4 4. 5. 5 1 1.2356 + 2.8978 = = 6 2 Week 6 Thursday 1. Write the rule for 2. Write the rule for 3. The lawyers: Smith, the nth term: the nth term: Jones & Thomas have a very busy practice. Mr. 13, 14, 15, 16, … 7, 8, 9, 10, … Smith & Miss Jones worked on a case before Mrs. Thomas joined them. On another, Miss Jones & Mrs. Thomas started the interviews before Mr. Smith joined them. Did all three lawyers work on each case? Explain your reasoning. 4. Which statement is 5. true about 1 10 6 16 =m? 4 21 7 A. m<16 B. m>16 C. 0<m<1 D. m=16 Patterns August 2007 Prealgebra Daily Warm-Ups Week 7 Monday 1. What do you do 2. What do you do 3. Write the rule for to both sides of the to both sides of the the nth term: equation to solve equation to solve x + 3 = 9? 4 + m = 10? 1 1 1 1 ,3 ,5 ,7 ,… 1 Find the solution. Find the solution. 2 2 2 2 4. Does 5. The test scores of 7+8=8+7? 9 seventh graders are Explain. listed below. Find the mode. 82, 92, 75, 91, 92, 89, 95, 100, 86 Week 7 Tuesday 1. What do you do 2. What do you do 3. Write the rule for to both sides of the to both sides of the the nth term: equation to solve equation to solve x – 4 = 6? b – 8 = 6? 14, 18, 22, 26, … Find the solution. Find the solution. 4. 5. The frequency table shows the number of movies rented by 2 3 customers at a video store one evening. 3 4 Number Frequency 1 15 2 21 3 9 4 4 How many customers rented more than one movie? Solve one- and two-step equations August 2007 Prealgebra Daily Warm-Ups Week 7 Wednesday 1. What do you do 2. What do you do 3. Does to both sides of the to both sides of the equation to solve equation to solve 9+(3+4) = (9+3)+4? 6x=42? 4m=24? Explain. Find the solution. Find the solution. 4. How does 5. Find the range of 1 1 64 compare to ? the distances run by 8 8 seven runners: 1 10 km, 14 km, A. less than 8 13 km, 12 km, 1 7 km, 16 km, B. greater than 8 9 km 1 C. equal to 8 Week 7 Thursday 1. What do you do 2. What do you do 3. Write the rule for to both sides of the to both sides of the the nth term: equation to solve equation to solve x 7 = 4? b -6, -2, 2, 6, … = 5? Find the solution. 3 Find the solution. 4. Tyler has two 5. How does 1 64 times as many stamps 8 in his collection as his 1 compare to ? friend Matt has. If M 8 is the amount of stamps Matt has, what 1 A. less than is the equation that 8 represents the 1 B. greater than amount of money that 8 Tyler has? 1 C. equal to 8 Solve one- and two-step equations August 2007 Prealgebra Daily Warm-Ups Week 8 Monday 1. Identify all real 2. Identify all real 3. Solve number categories to number categories to which 10 belongs which 11 belongs m (natural number, (natural number, = 10 3 whole number, whole number, integer, rational integer, rational number). number). 4. Write the rule for 5. What is the the nth term: missing value in the data set {20, 30, ?, 50} 2.2, 3.4, 4.6, 5.8, … if the mean is 50? Week 8 Tuesday 1. Identify all real 2. Identify all real 3. Solve number categories to number categories to which 0 belongs which 100 belongs m – 4 = -4 (natural number, (natural number, whole number, whole number, integer, rational integer, rational number). number). 4. What is the 5. Bridget earned the product of 1 and a following amounts 5 baby-sitting: number greater than 0 but less than 1? $18, $23, $25, $21, $34, $27, $20, $19. 1 A. less than but 5 Find the median. greater than 0 1 B. greater than 5 C. greater than 1 1 D. equal to 5 Real number vocabulary August 2007 Prealgebra Daily Warm-Ups Week 8 Wednesday 1. Identify all real 2. Identify all real 3. Write the rule for number categories number categories to the nth term: which –5 belongs which –55 belongs (natural number, (natural number, 0, 5, 10, 15, … whole number, whole number, integer, rational integer, rational number). number). 4. Evaluate 5. x4 0.9234 – 0.234= when x = 2. Week 8 Thursday 1. Identify all real 2. Identify all real 3. Solve number categories to number categories to 1 which 0.5 belongs b+7=2 which belongs 2 (natural number, (natural number, whole number, whole number, integer, rational integer, rational number). number). 4. Does 5. Sarah has three times as many 5 (4+2) = 5 4+5 2? cousins as her friend Explain. Megan has. If M is the number of cousins Megan has, what is the equation that represents the number of cousins that Sarah has? Real number vocabulary August 2007 Prealgebra Daily Warm-Ups Week 9 Monday 1. Determine 2. Determine 3. Identify all real whether the triangle whether the triangle number categories to is a right triangle. is a right triangle. which 69 belongs (natural number, whole number, 8cm 15 cm 6m 10m integer, rational number). 7 cm 8m 4. Solve 5. Find the range of these race times 9+n=5 (given in seconds): 8.8s, 7.4s, 7.0s, 8.5s, 9.5s, 8.6s, 9.2s. Week 9 Tuesday 1. The 2. The 3. Identify all real measurements of measurements of number categories to three sides of a three sides of a which 0 belongs triangle are given. triangle are given. (natural number, Determine whether Determine whether whole number, the triangle is a right the triangle is a right integer, rational triangle. triangle. number). 2ft, 3ft, 4ft 7in., 24in., 25in. 4. The perimeter of a 5. The mean of 30 triangle is 18. One test scores is 77.8. side is twice the What is the sum of shorter side and the these scores? third side is 3 times the shorter side. Write the equation. Pythagorean Theorem August 2007 Prealgebra Daily Warm-Ups Week 9 Wednesday 1. Determine whether 2. Determine whether 3. Solve the triangle is a right the triangle is a right triangle. triangle. 12x = 36 5in. 13in. 3in. 5in. 4 in. 12 in. 4. 5. Twenty-five students were asked how many 3 1 hours they do homework each night. 8 4 How many spend at least two hours per night on homework? Number Frequency of hours 1 11 2 6 3 6 4 1 More than 4 1 Week 9 Thursday 1. Find the missing 2. Find the missing 3. Identify all real measure of the right measure of the right number categories to triangle. triangle. which –1 belongs (natural number, whole 9 in. ? 8 ft ? number, integer, rational number). 40 in. 15 ft 4. Write the rule for the 5. Does nth term: 8 + 0 = 8? 7, 11, 15, 19, … Explain. Pythagorean Theorem August 2007 Prealgebra Daily Warm-Ups Week 10 Monday 1. If a CD was on 2. If a DVD was on 3. Is this a right sale for 1 off and its sale for 1 off the triangle? 3 4 original price was 24 original price, what 6in. 14in. dollars, what is the is the sale price of sale price? the $16.00 DVD? 8 in. 4. Identify all real 5. Evaluate number categories to which - 2 belongs 4m + x 3 when m=5 and x=2 (natural number, whole number, integer, rational number). Week 10 Tuesday 1. At the equator, 2. The diameter of 3. Are these the the Earth has a a parachute is 10 measurements of a diameter of feet. What is the right triangle? approximately distance around the 3,960 miles. What is rim of the 12ft, 35ft, 37ft the circumference of parachute? Use 3.14 the Earth at the for . equator? Use 3.14 for . 4. Does 5. Find the median of the following data 1 18 = 18 set: Explain. 21, 34, 26, 39, 27, 27, 22, 23, 35, 33, 36 Problem Solving with rational numbers and pi August 2007 Prealgebra Daily Warm-Ups Week 10 Wednesday 1. You have a large 2. You want to make 3. Identify all real sheet of paper that is bookmarks from a 13 number categories to 1 by 6 inch sheet of which 0.215 belongs 21 inches by 36 paper. If the (natural number, 2 bookmark is to be 6 whole number, inches for covering 3 integer, rational your books. If your inches long and 2 number). book covers need to 8 1 inches wide, what is be 8 inches by 9 the largest number of 2 inches, what is the bookmarks you can maximum number of cut out? covers you can cut out of the sheet of paper? 4. What is the 5. product of 12 and a number greater than 0 34 – 1.5 = but less than 1? A. less than 12 but greater than 0 B. greater than 12 C. equal to 12 D. less than 0 Week 10 Thursday 1. A dinner plate 2. The wheel of a 3. Find the missing has a diameter of 10 toy truck has a radius measure of this right inches. What is the of 2 cm. What is the triangle. area of the plate? Use area of the wheel? 3.14 for Use 3.14 for 20 in. ? 48 in. 4. Solve 5. Write the rule for the nth term: -6 = b -2 9, 12, 15, 18, … Problem Solving with rational numbers and pi August 2007 Prealgebra Daily Warm-Ups Week 11 Monday 1. Find the missing 2. Find the missing 3. Ray is painting a angle measurement: angle measurement: perfect circle on his bedroom wall. If its 55o area is about 20 60o square inches, what is the diameter of his x x 6 30 o x 90o x circle to the nearest tenth? Use 3.14 for 0 4. Is this a right 5 triangle? 2 1 3 + = 5 5 12 in. 20 in. x 16 in. Week 11 Tuesday 1. Find the 2. Find the missing 3. A silver frame is missing angle angle measurement: made for an 8 10 measurement: photo. If the silver for the frame is 1.5 120o 120o . inches wide, what is x x the perimeter of the frame? xx 6 x 60o 60o 4. 0 Write the rule for 5. Employees at a the nth term: retail store are paid the hourly wages 0, 3, 8, 15, … listed below. What is the range of these hourly wages? x $7.45, $8.25, $8.50, $9.50, $7.55, $8.25 Angle and side properties of triangles and quadrilaterals August 2007 Prealgebra Daily Warm-Ups Week 11 Wednesday 1. Which are 2. Which are 3. Are these the parallelograms: parallelograms? measurements of a a. b. a. b. right triangle? 24 in., 32 in., 40 in. __ c. d. c. d. 4. The length of a 5. Evaluate rectangle is 10 more than its width w. Its 200 area is 45. Write the 50 10 equation. Week 11 Thursday 1. Which are 2. Which are 3. At the local health rectangles? rectangles? club, 2 of the lockers 3 a a. b. are rented at $6.00 per month. Forty- eight lockers are c. available for rent. b. c. How much money will the club make on renting lockers each month? 4. Identify all real 5. Solve number categories to which 3 2 belongs -4 = x + 5 (natural number, whole number, integer, rational number). Angle and side properties of triangles and quadrilaterals August 2007 Prealgebra Daily Warm-Ups Week 12 Monday 1. Refer to Graph H. 2. Refer to Graph H. 3. Which are rhombi? Name the coordinates Name the coordinates of point A. of point B. a. b. c. 4. The area of a 5. What is the quotient circular fountain on The of 1 and a number Plaza is about 180 2 square feet. What is between 0 and 1? the distance across the fountain? (Round your A. it is greater than 1 answer to the nearest 2 foot.) Use 3.14 for . B. it is less than 1 2 C. it is greater than 0 but less than 1 D. it is less than 0 Week 12 Tuesday 1. Refer to graph I. Is 2. Refer to Graph I. 3. Which are (6,-2) an ordered pair on Is (-1,5) an ordered pair rectangles? the line? on the line? a. b. c. 4. Solve 5. The typing speeds of 12 secretaries are 35 = 7x recorded below (in words per minute). Find the mode. 55, 44, 59, 66, 60, 57, 58, 61, 53, 58, 60, 65 Coordinate graphs and equations of lines August 2007 Prealgebra Daily Warm-Ups Week 12 Wednesday 1. Refer to Graph J. 2. Refer to Graph J. 3. A water sprinkler How many spaces How many places waters a circular area going up is it from A going to the right is it of approximately to B? from A to B? 6,400 square feet. What is the radius of the region to the nearest tenth of a foot? Use 3.14 for . 4. Does 5. 9-7=7-9 5 1 Explain. 4 -1 = 6 12 Week 12 Thursday 1. Refer to Graph J. 2. Refer to Graph J. 3. Which are squares? Find the slope of line Find the slope of line AB. CD. a. b. rise rise = = c. run run 4. Find the missing 5. Identify all real measure of this right number categories to triangle. which –6 belongs (natural number, whole number, 27m ? integer, rational number). 36m Coordinate graphs and equations of lines August 2007 Prealgebra Daily Warm-Ups Week 13 Monday 1. Refer to Graph H. 2. Refer to Graph H. 3. Refer to Graph H. Name the coordinates Name the coordinates Which point is at of point F. of point D. (9, -3)? 4. Which are squares? 5. Two numbers have a sum of 80. One a. b. number is 2 more than five times the other. Write the equation. c. x x Week 13 Tuesday 1. Refer to Graph J. 2. Refer to Graph J. 3. Refer to Graph J. Is (-1,5) an ordered Is (4,-3) an ordered Name an ordered pair pair on line AB? pair on line CD? that is on line AB. 4. Identify all real 5. Find the median number categories to for the following data which 3 belongs set: 5 (natural number, 10.1, 10.2, 10.2, 10.3, whole number, 10.4, 10.5, 10.6, 10.7, integer, rational 10.8, 10.9, 11.0 number). Coordinate graphs and equations of lines August 2007 Prealgebra Daily Warm-Ups Week 13 Wednesday 1. Refer to Graph L. 2. Refer to Graph L. 3. Which are How many spaces How many spaces trapezoids? going up is it from C going to the right is it to D? from C to D? a. b. c. 4. Write the rule for 5. What is the the nth term: quotient of 44 and a number between 0 -1, 0, 3, 8, 15, … and 1? A. it is greater than 44 B. it is less than 44 C. it is less than 1 but greater than 0 D. it is equal to 44 Week 13 Thursday 1. Refer to Graph L. 2. Refer to Graph L. 3. Refer to Graph L. Find the slope of line Find the slope of line Is (5,0) an ordered AB. CD. pair on line CD? 4. The circular floor 5. Is this a right of the Pantheon in triangle? Italy has an area of about 1500 square meters. What is the 8 yds 23 yds diameter of the floor to the nearest meter? Use 3.14 for . 15 yds Coordinate graphs and equations of lines August 2007 Prealgebra Daily Warm-Ups Week 14 Monday 1. A sound studio 2. At a fair, Kay buys 3. Refer to Graph H. charges a $52 game tickets for $0.50 Name the coordinates reservation fee and $26 each. She spends of point E. per hour. Felipe paid a $12.50 for food and $17 total of $130 to use the in all. Which equation sound studio. Which can you use to model equation can be used to this situation? find the total number of hours (h) that Felipe A. 0.50n + 12.50 = 17 used the studio? B. 50n + 12.50 = 17 C. 12.50n + 50 = 17 A. 26 + 52h = 130 D. n + 12.50 = 17 B. 52 + 26h = 130 C. 52(26 + h) = 130 D. 26(h + 52) = 130 4. Refer to Graph H. 5. Does Which point is located at (-4,1)? 4 8 = 8 4? Explain. Week 14 Tuesday 1. Which equation can 2. Which equation 3. Refer to Graph I. be used to find the can be used to find Name an ordered pair perimeter of a garden the perimeter of a 10- on the line in the that is 12 feet wide and foot by 11-foot room? graph. 8.5 feet long where P=2l + 2w? A. 2(10 11) = P B. 10 11 = P A. P = 12 + 8.5 B. P = 12 8.5 C. 2(10 + 11) = P C. P = 2(12 8.5) D. 10 + 11 = P D. P = 2(12 + 8.5) 4. Are these the 5. Evaluate measurements of a right triangle? 7 19 3 20 mi, 21 mi, 29 mi. Linear Relationships August 2007 Prealgebra Daily Warm-Ups Week 14 Wednesday 1. Given a length in 2. Given a number of 3. Refer to Graph I. inches (i), multiply the hours (h), multiply by Find the slope of the given value by 2.54 to 60 to find the number line. find the length in of minutes (m). Which centimeters (c). Which equation models this equation models this situation? situation? A. m = 60 + h A. c = 2.54i B. h = 60 + m B. i = 2.54c C. h = 60m C. c = 2.54 + i D. m = 60h D. i = 2.54 + c 4. Solve 5. Ken has $8.45 more than 1 the amount 2x + 4 = 36 2 Brandon has. If K = Ken’s money and B = Brandon’s, write the equation. Week 14 Thursday 1. A bus leaves a 2. Posters cost p 3. Refer to Graph L. station that is 357 miles dollars and each and Name a point on line from Chicago and CDs cost c dollars each. AB. travels toward Chicago Eric bought 2 CDs and 1 at a rate of 50 miles per poster and his brother hour. Write an bought 1 CD and 3 expression to represent posters. Write an the distance of the bus expression to represent from Chicago after n the total cost of the hours. items. 4. Which are 5. An air traffic control trapezoids? screen has a circular area of 24 square a. b. inches. What is the radius of the screen? Use 3.14 for . Round to the nearest tenth. c. Linear Relationships August 2007 Prealgebra Daily Warm-Ups Week 15 Monday 1. The letters of the 2. The letters of the 3. The owner of a word “Mathematics” are word ‘Prealgebra” are clothing store is placed in a bag. What is placed in a bag. What is shipping an order of the probability that a T the probability that a shirts and pants to a will be picked from the vowel will be picked customer. The shirts bag? from the bag? weigh x ounces each and the pants weigh x + 7 ounces each. Which expression represents the total weight of the shipment if it contains 4 shirts and 2 pairs of pants? A. 6x + 7 B. 6x + 14 C. 13x D. 13x + 7 4. Refer to Graph H. 5. Write the rule for the Name the coordinates nth term: of point F. 2, 5, 10, 17, … Week 15 Tuesday 1. A die is rolled. 2. A die is rolled. 3. Apples cost $0.88 Find the probability Find the probability per pound. Is that it is an even that it is a number c = p + 0.88 number. greater than 4. an accurate model for the total cost c of p pounds of apples? 4. Doug Bower made 5. a crop circle in a cornfield that covered 3 1 = an area of 300 square 4 feet. What is the radius of his circle? Use 3.14 for . Probability August 2007 Prealgebra Daily Warm-Ups Week 15 Wednesday 1. Find the number 2. Find the number 3. Refer to Graph I. of outcomes for two of outcomes for three Is (6,-3) an ordered coins that are tossed. coins that are tossed. pair on the line? 4. Identify all real 5. Does number categories to which –1.7 belongs 9 (3 5) = (9 3) 5? (natural number, Explain. whole number, integer, rational number). Week 15 Thursday 1. What is the 2. What is the 3. Jessica spent a total probability of 2 heads probability of a head of $20 on grape juice when tossing a nickel and a tail (in either and apple juice for the and a dime? order) when tossing a school picnic. If x nickel and a dime? represents the amount spent on grape juice, which equation can be used to find the amount (y) she spent on apple juice? A. y = -x + 20 B. y = x + 20 C. y = 20x 1 D. y= x 20 4. Refer to Graph J. 5. Find the measure Name the coordinates of x. of point D. x - 10 x x+1 Probability August 2007 Prealgebra Daily Warm-Ups Week 16 Monday 1. What is 30% of 2. Find 16% of 200. 3. A coin is tossed 5 30? times. What is the probability of getting heads every time? 4. Jim works at a 5. Solve computer store. He is paid a salary of $350 4x + 7 = 43 per week, plus $15 for each computer system he sells. Write a function rule (equation) to show the total amount Jim is paid (p) in a week when he sells c computer systems. Week 16 Tuesday 1. Linda purchases 2. Joel bought a new 3. What is the a computer for backpack of $35.00. probability that your $450.00. The sales The sales tax was 5% locker combination is tax was 8% of the of the purchase price. 14-20-24 if there are purchase price. How How much sales tax 40 numbers on the much sales tax did did Joel pay for the lock dial? Linda pay for the backpack? computer? 4. Find the value of x. 5. How does 3 1 4 2 compare to 3? x -70 4 A. <3 4 B. = 3 4 x C. > 3 4 D. cannot be determined Percents August 2007 Prealgebra Daily Warm-Ups Week 16 Wednesday 1. Johnny bought a 2. Mercedes 3. Jorge took his shirt on sale at a purchased a dress at a computer to the discount of 25 30% discount. The repair shop. He was percent. It had a original cost of the charged $55 to regular price of dress was $125.00. diagnose the problem $80.00. What was the What was the amount plus $15 per hour to amount of the of the discount? repair it. If his bill discount? was $100, does 100 = 55 + 15h accurately represent the situation? 4. Find the missing 5. Write the rule for measure of this right the nth term: triangle. 3, 6, 11, 18, … 10 ft ? 24 ft Week 16 Thursday 1. Cameron 2. A skateboard that 3. What is the purchased a new regularly sells for probability that you binder with a price $200 is on sale for get a 6 when you roll tag of $30, but it is on 25% off its regular a die? sale for 20% off its price. What is the regular price. What is sale price of the the sale price of the skateboard? binder? 4. Refer to Graph M. 5. Refer to Graph M. What is the slope of Is (-4, 4) a point on line AB? line AB? Percents August 2007 Prealgebra Daily Warm-Ups Week 17 Monday 1. Solve the 2. Solve the 3. 80% of 75 is what proportion. proportion. number? 6 d 3 y = = 8 12 9 21` 4. Given a bag of 5 5. Identify all real red marbles, 3 green number categories to marbles and 2 blue which 152 belongs marbles, what is the (natural number, probability of whole number, selecting a green integer, rational marble? number). Week 17 Tuesday 1. Solve the 2. Solve the 3. What is 100% of proportion. proportion. 16.8? 1 3 3 4 = = c 6 h 6 4. Refer to Graph M. 5. Jordan has four Give the coordinates times as many stamps of point B. in his collection as his friend Sally has. If S is the number of stamps Sally has, what is the equation that represents the number of stamps that Jordan has? Proportions August 2007 Prealgebra Daily Warm-Ups Week 17 Wednesday 1. Solve the 2. Solve the 3. What is the proportion. proportion. probability of the spinner stopping at 2? 2 6 5 10 = = 7 m 16 k 6 1 5 2 4 3 4. The area of a 5. Solve sundial is 33.18 inches squared. Use 3m – 8 = 16 3.14 for . What is the length of the rotating dial (hint: radius) to the nearest inch? Week 17 Thursday 1. Solve the 2. Solve the 3. Find 16.8% of 100. proportion. proportion. n 22 p 5 = = 4 8 7 .2 12 4. A technician 5. Refer to Graph M. charges a $50 Name an ordered pair estimation fee and that is on line AB. $25 per hour to repair washing machines. Write an equation for the total cost of the technician’s service, c, if he works h hours. Proportions August 2007 Prealgebra Daily Warm-Ups Week 18 Monday 1. Sarah made a 2. Josh made a scale 3. Solve the scale drawing of her drawing of his proportion. mother’s garden. One father’s workshop. inch on her drawing One inch on his 12 r represented 10 feet. drawing represented 3 = The garden was 100 feet. The workshop 4 12 feet long and 30 feet was 21 feet long and wide. How long and 15 feet wide. How wide did Sarah make long and wide did her drawing? Josh make his drawing? 4. 70% of 80 is what 5. Is this a right number? triangle? 16 in. 12 in. 14 in. Week 18 Tuesday 1. Find the missing 2. Find the missing 3. What is 5% of 80? length: length: 10 ft x 3 x 8 ft 4 2 12 ft 4. Refer to Graph M. 5. Does Is the slope of line AB positive or negative? (6+5) 8 = 6 8+6 5? Scale drawings and similar/congruent figures August 2007 Prealgebra Daily Warm-Ups Week 18 Wednesday 1. The scale on map is 2. The scale on a map 3. Solve the proportion. 1 inch: 60 miles. Find is 1 inch: 60 miles. the actual distance if Find the actual distance 2 10 the distance on a map is if the distance on a map 2 inches. is 5.25 inches. k 25 4. Which are 5. Identify all real parallelograms? number categories to which -23 belongs a. b. (natural number, whole number, integer, rational number). c. Week 18 Thursday 1. Mary is 5 feet tall 2. Colleen is 6 feet 3. Solve the proportion. and casts a shadow of 8 tall and casts a shadow feet. Beside her is a of 9 feet. Beside him is 3 12 flagpole casting a 48- a fence post that is 3 = foot shadow. How tall feet tall. How long n 76 is the flagpole? would the post’s shadow be? 4. What is the 5. Anna and Sarah are probability of the collecting wildflowers. spinner stopping at 3 So far, Sarah has the first time, then 1 collected 14 flowers, the second time? which is three less than Anna. Which equation can be solved to find the 8 1 number of wild flowers (n) that Anna has 7 2 collected? 6 3 4 A. n – 3 = 14 5 B. n + 3 = 14 C. 3n = 14 n D. = 14 3 Scale drawings and similar/congruent figures August 2007 Prealgebra Daily Warm-Ups Week 19 Monday 1. Refer to Graph S. 2. Refer to Graph S. 3. Amber is 4 1 feet tall This data represents How many players 2 how many players? scored at least 20 and casts a shadow of 7 points? feet. Beside her is a flagpole casting a 35- foot shadow. How tall is the flagpole? 4. Solve the proportion. 5. A scientific centrifuge is used to 4 r separate substances. = The centrifuge makes a 9 27 complete circle while it spins. If it covers an area of about 10 square inches, what is the diameter across the centrifuge? Use 3.14 for . Week 19 Tuesday 1. Refer to Graph T. 2. Refer to Graph T. 3. Find the missing How many students How many students length: preferred strawberry if preferred vanilla if 150 150 students were students were 13.5 surveyed? surveyed? 6 cm cm x 15.75cm 4. A basketball team 5. Write the rule for ordered 12 jerseys. The the nth term: total cost of the order was $99, which included a $3 shipping charge. Which 3, 5, 7, 9, … equation can be used to find p, the price of each jersey? A. 3 + 12 = 99 p B. 3p + 12 = 100 12 C. + 3 = 99 p D. 12p + 3 = 99 Stem & Leaf Plots, box & Whisker Plots, Circle Graphs, Scatterplots August 2007 Prealgebra Daily Warm-Ups Week 19 Wednesday 1. Refer to Graph 2. Refer to Graph 3. Solve the U. What is the U. What are the proportion. median score? upper and lower quartile scores? 2 4 h 26 4. Refer to Graph H. 5. Are these the Name the measurements of a coordinates of point right triangle? G. 8 in., 15 in., 17 in. Week 19 Thursday 1. Refer to Graph 2. Refer to Graph 3. The scale on a V. If a student V. If student studies map is 1 inch:100 studies for 30 60 minutes, miles. Find the minutes, approximately what actual distance if approximately what grade does she earn the distance on a grade does he earn on the test? map is 3 3 inches. on the test? 4 4. Is 50% of a 5. My sock drawer number larger or has 8 pairs of white smaller than the socks, 2 pairs of number? black socks, and 3 pairs of navy socks. What is the probability of selecting a pair of navy socks? Stem & Leaf Plots, box & Whisker Plots, Circle Graphs, Scatterplots August 2007 Prealgebra Daily Warm-Ups Week 20 Monday 1. Refer to Graph W. 2. Refer to Graph W. 3. The sections of a Which magazine Which magazine circle graph must add appears to have about appears to have about up to __________. twice the circulation three times the of ABC Today? circulation of America Today? 4. Mike made a scale 5. Which are drawing of his rectangles? bedroom. One inch on his drawing represented 3 feet. The drawing a. b. was 3 1 inches by 2 2 3 inches. How big is 4 his bedroom? c. Week 20 Tuesday 1. Refer to Graph X. 2. Refer to Graph X. 3. Sam wants to show Explain why the Explain how to redraw how the number of intervals on the the graph to make students at his school horizontal axis could sure it is not has changed over time. make the graph misleading. Which type of display would be most misleading. appropriate? A. Circle Graph B. Line Graph C. Box and Whisker Plot D. Stem and Leaf Plot 4. What is the 5. Solve probability of a spinner with the 5m – 12 = 18 spaces numbered 1 through 6 stopping on 2 and a die showing 2? Misleading Data and Graphs August 2007 Prealgebra Daily Warm-Ups Week 20 Wednesday 1. Refer to Graph Y. 2. Refer to Graph Y. 3. Chris is 5 feet tall What makes the graph How could you redraw and casts a shadow 10 misleading? the graph to make it feet tall. Beside him less misleading? is a pole that is 4 feet tall. How long would the pole’s shadow be? 4. Refer to Graph N. 5. Betsy is making 3 Find the slope of line batches of cookies. AB. For each batch she needs 1 3 cups of 4 flour. How much flour does she need all together? Week 20 Thursday 1. Refer to Graph Z. 2. Refer to Graph Z. 3. Refer to Graph Z. How much does it How much did sales Complete the appear that sales actually increase from percents of the total increased from 1996 1996 to 1999? sales that would be to 1999? needed to make a circle graph of the data. 1996:____%, 1997:____% 1998:____%, 1999:____% 4. Solve the 5. Bobby gets a 20% proportion. discount on items he buys from the store 25 5 where he works. How = much does Bobby pay a 3 for a $45 item? Misleading Data and Graphs August 2007 Prealgebra Daily Warm-Ups Week 21 Monday 1. A wheel has a 2. A CD has a 3. Refer to Graph S. radius of six inches. diameter of five What was the fewest What is the inches. What is the number of points circumference? (Use circumference? (Use scored? 3.14 for .) What is 3.14 for .) What is the area? the area? 4. Explain why an 5. Refer to Graph N. advertiser might want Name the ordered to use a misleading pairs of two points on graph? line AB. Week 21 Tuesday 1. A square has an 2. The area of a 3. Refer to Graph W. area of 121 cm . What square is 9 inches. 2 Which magazine has is the perimeter? What is the twice the circulation perimeter? of ABC Today? 4. If sales tax is 6.8%, 5. Identify all real how much tax will number categories to Renee pay for a $78 which 7 belongs pair of shoes? 10 (natural number, whole number, integer, rational number). Perimeter/Circumference and Area August 2007 Prealgebra Daily Warm-Ups Week 21 Wednesday 1. A triangle has an 2. A triangle has an 3. Refer to Graph U. area of 12 square area of 30 cm2. If the 50% of the scores inches. If the base is height is six cm, what were between _____ 6 inches, what is the is the base? and _____. height? 4. Lou scored 18 points 5. Evaluate in the first basketball game of the season and 2a + 3b p points in the second game. He scored a total when a=2 and b=-3. of 32 points in the two games. Write an equation to determine how many points Lou scored in the second game. Week 21 Thursday 1. Students are 2. Find the area of 3. Refer to Graph Z. building fronts of the following shape. Why is the graph houses for a school misleading? play. The front of a house is a rectangle 6 2 feet high and 8 feet 3 wide. Above the 2 rectangle is a triangle 3 that is 3 feet high. What is the area of the house? 4. Find the missing 5. Solve the length: proportion. 44 24 x 30 in. 77 n 9 in. 12 in. Perimeter/Circumference and Area August 2007 Prealgebra Daily Warm-Ups Week 22 Monday 1.Find the volume: 2. Find the volume: 3. Find the area and perimeter: 5 m 2m 8 3 yd 3 m 8 4. Refer to Graph Y. 5. Refer to Graph N. If you were the owner Is the slope of line AB of this company, positive or negative? would this graph make you happy or concerned? Week 22 Tuesday 1. Find the surface 2. Find the surface 3. Find the area and area: area: perimeter: 8m 2m 5in. 4in. 6m 3m 5m 7in. 10m 4. Solve the 5. Find the missing proportion: measure of the right triangle. 15 n 18 12 6in. ? 8in. Surface Area and Volume August 2007 Prealgebra Daily Warm-Ups Week 22 Wednesday 1. A cereal box is 11 2. A package is in a 3. Refer to Graph W. inches tall, 9 inches 15 cm by 10 cm by 4 How would you wide, and 2 inches cm box. How much redraw this graph so deep. What is the wrapping paper would it is not misleading? surface area of the be required to cover box? the box? 4. If the probability 5. for rain in April is 30%, how many days 6 in April would you 14 predict rain? (Hint: 7 there are 30 days in April.) Week 22 Thursday 1. Find the surface 2. Find the surface 3. A gardener is area: area: putting fencing around the triangular and rectangular 3 ft flowerbeds shown. 2m How many total feet of fencing will be needed? 5ft 13ft 7ft 12ft 14ft 4. Refer to Graph V. 5. The scale on a map What study time and is 1 inch:50 miles. test score does point Find the actual A represent? distance if the distance on the map is 5 1 inches. 4 Surface Area and Volume August 2007 Prealgebra Daily Warm-Ups Week 23 Monday 1. Give an example 2. Give an example 3. Find the surface of the commutative of the commutative area: property of addition. property of multiplication. 15cm 3cm 4cm 4. Find the 5. A coach spent circumference (use $975.80 on new 3.14 for ). uniforms for his team. He bought 16 uniforms for c dollars 2.4cm each. Does 16 975.80 = c accurately represent the situation? Week 23 Tuesday 1. Give an example 2. Give an example 3. Find the volume: of the distributive of the distributive 10m property over property over addition. subtraction. 5m 2m 4. Mindy made a 5. It is reported that scale drawing of her on January 22, 1943, room. One inch on in Spearfish, SD, the her drawing temperature rose represented 10 feet. from –4oF to 45oF in The room was 15 feet two minutes. What by 12 feet. What were was the rise in the dimensions of the temperature? drawing? Properties August 2007 Prealgebra Daily Warm-Ups Week 23 Wednesday 1. Give an example 2. Give an example 3. Pizza Town is of the identity of the identity running a special. property of property of addition. Two medium pizzas multiplication. (12 inch diameter) or one large (20 inch diameter) for the same price. Which is the better buy? (Hint: circumference or area?) 4. If sales tax is 6.8%, 5. How does 3 1 what does Jose pay, 4 2 including tax, for a compare to 3? 4 $15.99 CD? A. <3 4 B. =3 4 C. >3 4 D. cannot be determined Week 23 Thursday 1. Give an example 2. Give an example 3. Find the surface of the inverse of the inverse area of a book that is property of addition. property of 10 inches by 7 inches multiplication. by 1 inch. 4. Refer to Graph W. 5. True or false: If this graph were A box and whisker made with vertical plot is based on a bars instead of number line. horizontal, would it be more or less misleading? Properties August 2007 Prealgebra Daily Warm-Ups Week 24 Monday 1. What number is 2. Find 6.7% of 3. Give an example of 1.5% of 15? 1500. the commutative property of multiplication. 4. Find the volume: 5. If the probability of going on to college 20 ft is 70 , how many 100 students from a 3 ft school of 1000 would 1 ft go to college? Week 24 Tuesday 1. Find 125% of 125. 2. What is 176% of 3. Give an example of 47? the identity property of addition. 4. Refer to Graph T. 5. Which are rhombi? 50% of the students surveyed prefer which two flavors? a. b. c. Percents August 2007 Prealgebra Daily Warm-Ups Week 24 Wednesday 1. What is 2. Find 3. Does surface area tell you how much of 1 1 something it would 4 % of 100? 17 % of 10. take to cover the 2 4 shape or to fill it up? 4. Solve the 5. Jessica has twice proportion. as many cousins as her friend Adam has. 6 12 If A is the number of cousins Adam has, 4 x what is the equation that represents the number of cousins that Jessica has? Week 24 Thursday 1. Your bill at a 2. Irina’s bill at a 3. Give an example of restaurant is $9.42. If restaurant is $12.74. the substitution you pay 7.1% sales If she pays 6.9% sales property. tax, then tip the tax and tips her waiter 20%, how much waitress 15%, how do you spend in all? much does she spend total for the meal? 4. What is the area of 5. Which two types of the complete region graphs are easiest to inside this track? Use make misleading? 3.14 for . Why? 60 m 105.8 m Percents August 2007 Prealgebra Daily Warm-Ups Week 25 Monday 1.How does 2. How does 3. How much does 1 1 1 1 Sydney save on a $75 15 compare to compare to ? 5 5 4 5 dress if it is on sale 15? for 20% off? 1 A. < A. <15 5 B. =15 1 B. = C. >15 5 D. cannot be 1 C. > determined 5 D. cannot be determined 4. Give an example of 5. What is 120% of the distributive 200? property over subtraction. Week 25 Tuesday 1. How does 2. How does 3. What is the total 1 1 1 1 cost for a round of 15 compare to compare to ? 5 2 4 2 golf if it costs $33 15? plus 6.75% tax? 1 A. < A. <15 2 B. =15 1 B. = C. >15 2 D. cannot be 1 C. > determined 2 D. cannot be determined 4. Refer to Graph Z. 5. Refer to Graph N. Would this graph Find the slope of line make you want to buy CD. XYZ stock? Multiply and divide by 0<x<1 or x>1 August 2007 Prealgebra Daily Warm-Ups Week 25 Wednesday 1. How does 1 15 2. How does 2 10 3. Does 3 3 compare to 1 ? compare to 2 ? 25 5 = 5 25 3 3 A. < 1 A. <2 3 3 Explain. B. = 1 B. =2 3 3 1 C. >2 C. > 3 3 D. cannot be D. cannot be determined determined 4. Tyler is 5 feet tall 5. Give an example of and casts a shadow of 8 the inverse property of feet. Beside him is a multiplication. building casting a 108- foot shadow. How tall is the building? Week 25 Thursday 1. How does 1 15 2. How does 1 25 3. 60% of 52.8 is what 3 5 number? compare to 1 ? compare to 1 ? 3 5 A. <1 1 3 A. < 1 5 B. = 1 3 B. = 1 5 C. > 1 3 C. > D. cannot be 5 determined D. cannot be determined 4. Find the volume: 5. Each side of a square is 5 inches long. The diameter of a circle is 5 2 ft inches long. Which is longer – the perimeter 1 ft of the square or the 3.5 ft circumference of the circle? Multiply and divide by 0<x<1 or x>1 August 2007 Prealgebra Daily Warm-Ups Week 26 Monday 1. Translate into an 2. Translate into an 1 3. How does 15 algebraic expression: algebraic expression: 3 compare to 15? 5 times the sum of a 9 times the difference number and 8 of a number and 2 4. Find 50% of 18.8. 5. Solve the proportion. n 14 27 63 Week 26 Tuesday 1. Translate into an 2. Translate into an 3. What is true about algebraic expression: algebraic expression: the product of 0.25 and a number 9 centimeters less 5 years older than between zero and than three-fourths of twice age a. one? length w. 4. Find the area and 5. Refer to Graph N. perimeter. Is (-4,0) a point on 13 in. line CD? 6 in. 7 in. Write expressions and equations August 2007 Prealgebra Daily Warm-Ups Week 26 Wednesday 1. Translate into an 2. Translate into an 4 3. 50% of is what equation (do not equation (do not 5 solve): solve): number? The $60 that Emil put The visitor attendance into his savings at the zoo on Tuesday account was $5 more was 1,065, which was than one-fourth of his 47 less than half of weekly salary. Use w the attendance on for his weekly salary. Sunday. Use s for Sunday’s attendance. 4. Refer to Graph U. If 5. Write the rule for 32 points were the nth term: needed to get an A on the quiz, what percent 4, 6, 8, 10, … of students earned an A? Week 26 Thursday 1. Translate into an 2. Translate into an 3. What is true about equation (do not equation (do not the quotient of 40 and solve): solve): 1 ? 2 The 104 tickets sold If Lupe triples her for Friday’s movie are daughter’s age and 8 more than twice the adds 10, the total is number sold for her own age, which is Thursday’s movie. 28. Use a for the Use t for tickets sold daughter’s age. on Thursday. 4. Give an example of 5. Find the surface the associative area of a box that is property of addition. 12 inches on each side. Write expressions and equations August 2007 Prealgebra Daily Warm-Ups Week 27 Monday 1. D.J. made a scale 2. D.J. made a 3. Translate into an drawing of his drawing of the gym expression: school’s football field. using the same scale One inch on his as in problem #1. His 6 times the sum of a drawing represented drawing was 3.5 number and 8. 30 feet. The drawing inches by 1.5 inches. was 12 inches by 2 How big is the gym? inches. How big was the football field? 4. What is true about 5. Find the missing the product of 22 and length. a number between zero and one? x 30 ft 100 ft 50 ft Week 27 Tuesday 1. Find x in the 2. Find y in the 3. Translate into an drawing below. drawing in problem equation (do not x #1. solve): 3 4 The $265 that Omar 18 has saved is $37 more 9 than one-fourth of the y amount he needs. Use m for the money he needs. 4. Find the volume of 5. Annie worked 3 a cube that is 9 cm on more than 5 times the each side. number of hours that Sam worked. Does 5x + 3x accurately represent this situation if x is the number of hours Sam worked? Similar/congruent figures August 2007 Prealgebra Daily Warm-Ups Week 27 Wednesday 1. The scale on a 2. Using the map in 3. What is true about map is 1 inch:40 problem #1, Abe saw the quotient of 1 and miles. Find the actual that two cities were 5 2 distance if the inches apart. What is a number between 0 distance on a map is 2 the actual distance and 1? inches. between the cities? 4. Refer to Graph Y. 5. Solve If the boxes were the same size, what is a 19 – m = 3 different way to make the graph misleading? Week 27 Thursday 1. Mary is 5 feet tall 2. Sean is 6 feet tall 3. Translate into an and casts a shadow of and casts a shadow 8 equation (do not 6 feet. Beside her is a feet long. Beside him solve): flagpole casting a 48- is a mailbox 3 feet foot shadow. How tall tall. How long would If Pam takes the is the flagpole? the mailbox’s shadow number of pages she be? has read of a certain book, subtracts 16 and doubles the difference, the total is 164 (which is the number of pages she has not read). Use p for pages she has read. 4. Which is larger, 5. Give an example of 40% of a number or 1 the identity property 2 of multiplication. of a number? Similar/congruent figures August 2007 Prealgebra Daily Warm-Ups Week 28 Monday 1. A company 2. If a child grows 3. Find the missing makes the same at a constant rate, will length. amount more profit the slope of the line x 10m each year than the representing his previous year. Would height be positive or 8m 56m the slope of the line negative? representing their profit be positive or negative? 4. Translate into an 5. Refer to Graph V. equation (do not Is there a positive solve): correlation between study time and test Mary Anne cooked 2 scores? How do you pieces of chicken for know? each member of her family, plus 8 extra pieces, making a total of 30 pieces. Use m for family members. Week 28 Tuesday 1. A new car 2. Joe is drinking a 3. The scale on a map depreciates in a value can of pop at a is 1 inch:50 miles. at a constant rate over constant rate. If he Find the actual time. Would the line were to graph the distance if the map representing the car’s amount of pop left in distance is 6 inches. value be positive or the can over time, negative? would the line have a positive or negative slope? 4. Give an example of 5. In a deck of cards, the distributive what is the property over probability that the addition. top card is a 10? Linear relationships August 2007 Prealgebra Daily Warm-Ups Week 28 Wednesday 1. Give an example 2. Give an example 3. Translate into an of a situation that of a situation that expression: would have a positive would have a positive slope if graphed. slope if graphed. 2 more than five- eighths of a number. 4. A builder is 5. Identify all real installing two number categories to windows. The which 2.4 belongs rectangular window is (natural number, 2 feet by 3 feet. The whole number, triangular window is 2 integer, rational feet wide and 1 foot number). high. How much total glass will be needed? Week 28 Thursday 1. Give an example 2. Give an example 3. Doug put together of a situation that of a situation that a model airplane with would have a negative would have a negative a scale 1 cm:6 ft. The slope if graphed. slope if graphed. model’s wing is 5 cm long. How long is the wing of the actual plane? 4. How does 30 1 5. How much tax 6 does Sam pay for a compare to 30? $20 video game if tax is 7.2%? Linear relationships August 2007 Prealgebra Daily Warm-Ups Week 29 Monday 1. Refer to Graph O. 2. Refer to Graph O. 3. Give the Name the coordinates Name the coordinates coordinates of 3 of point A. of point C. points on the line x + y = 9. 4. Bill is 6 feet tall 5. How can color be and casts a shadow 9 used to make a graph feet long. His son is misleading? standing next to him and casts a 6-foot shadow. How tall is Bill’s son? Week 29 Tuesday 1. Refer to Graph O. 2. Refer to Graph O. 3. What does it mean Is (2,2) a point on line is (2,-2) a point on for a line to have a AB? line CD? slope of –2? 4. Find 50% of 9.2. 5. Find 250% of 400. Coordinate graphs and equations of lines August 2007 Prealgebra Daily Warm-Ups Week 29 Wednesday 1. Refer to Graph O. 2. Refer to Graph O. 3. Find the missing What is the slope of What is the slope of length: line CD? line AB? 10 mm 8 mm x 2 mm 4. True or false. 5. Find the missing The volume of a solid measure of this is the number of triangle. cubic units that it will 5 in. hold. ? 4 in. Week 29 Thursday 1. Refer to Graph O. 2. Refer to Graph O. 3. What is the slope Name an ordered pair Name an ordered pair of any horizontal that is on line AB. that is on line CD. line? 4. Translate into an 5. How does 2 30 equation (do not 3 solve): 2 compare to ? 3 3 By Thursday, of Mr. 5 2 A. < Hudson’s class had 3 turned in their book 2 B. = reports. Friday, 4 3 more students turned 2 C. > in reports, making a 3 total of 25. Use n for D. cannot be number of students. determined Coordinate graphs and equations of lines August 2007 Prealgebra Daily Warm-Ups Week 30 Monday 1. Find two 2. Find two 3. The slope of a consecutive integers consecutive integers horizontal line is whose sum is 373. whose sum is 187. _____________. 4. Write a rule to 5. A builder is describe the function installing two represented by the windows. The table below: rectangular window is 3 feet wide and 4 feet x 1 2 3 4 high. The triangular y 5 6 7 8 window has sides 3 feet, 4 feet, and 5 feet. How much total trim molding is needed to outline the windows? Week 30 Tuesday 1. The sum of three 2. The sum of three 3. The slope of a consecutive integers consecutive integers vertical line is is 201. Find the is –147. Find the ________________. numbers. numbers. 4. How does 1 1 5. Solve the 2 4 proportion. 1 compare to ? 2 3 9 = 1 8 m A. < 2 1 B. = 2 1 C. > 2 D. cannot be determined Problem solving with rational numbers and pi August 2007 Prealgebra Daily Warm-Ups Week 30 Wednesday 1. One number is 2. One number is 5 3. Give the three times another less than another coordinates of three number and their sum number and their sum points not on the line is –20. Find the is -3. Find the 3x - 4y = 12. numbers. numbers. 4. Give an example of 5. A pop can is 2.5 the inverse property inches in diameter. of addition. Find the circumference of the can. Use 3.14 for . Week 30 Thursday 1. In an isosceles 2. Mrs. Montolvol 3. Refer to Graph H. triangle whose has practiced law Name the coordinates perimeter is 40 three years longer of point H. centimeters, each of than her sister, who the congruent sides is has practiced y years. 5 centimeters longer Between them they than the third side, have a total of 21 which is x centimeters years in practice. long. Find x. Find y. 4. The scale on a map 5. Translate into an is 1 inch:100 miles. equation (do not Find the actual solve): distance if the map 7 The Stamp Club has distance is 5 inches. 63 members this year, 8 which is 5 less than twice the number of members last year. Use m for the number of members last year. Problem solving with rational numbers and pi August 2007 Prealgebra Daily Warm-Ups Week 31 Monday 1. Solve 2. Solve 3. The measures in meters of adjacent 7x = 9 + 6x 6b = 1 + 5b sides of a rectangle are consecutive odd integers. The perimeter is 96 meters. What are the dimensions of the rectangle? 4. Refer to Graph M. 5. How much will a Give the coordinates crate hold that is 1 of an ordered pair foot by 1 foot by 2 that is on line AB. feet? Week 31 Tuesday 1. Solve 2. Solve 3. A 60-foot cable is cut into two pieces so 3v = 4v - 8 4x = 5x - 6 that one piece is 18 feet shorter than the other. The long piece is h feet long. Find h. 4. Translate into an 5. The scale on a map equation (do not is 1 inch:25 miles. solve): Find the actual distance if the Alana earned $3 an distance on the map hour for painting a is 4 inches. fence, plus a bonus of $5, for a total of $20. Use h for the hours she worked. Multistep equations August 2007 Prealgebra Daily Warm-Ups Week 31 Wednesday 1. Solve: 2. Solve 3. Refer to Graph O. Name three ordered 4(x - 2) = -3(x + 5) 2(y + 3) = -1(1 – y) pairs that are not on either line. 4. Jack’s bill at a 5. Which are squares? restaurant was a. b. $12.76. If he pays 6.8% sales tax and tips his waiter 18%, how much does he spend c. in all for the meal? Week 31 Thursday 1. Solve 2. Solve 3. The perimeter of a rectangle is 100 8r+(9r-4)=9r+(6r+6) 6t+(4t-12)=3t+(2t+3) meters, and its length is 8 meters greater than its width of w meters. Find w. 4. Write a rule for 5. Mindy uses a 1 the function in the inch:1 foot scale to table: draw a picture of her kitchen. The stove on x y 1 the picture is 3 3 9 4 5 15 inches wide, how wide 7 21 is the actual stove? 9 27 Multistep equations August 2007 Prealgebra Daily Warm-Ups Week 32 Monday 1. When dealing 2. When dealing 3. Solve from a deck of cards, from a deck of cards, what is the what is the 5p + 11 – p = 6p - 1 probability that the probability that the first card dealt is a”10 first card dealt is a “2 of hearts” and the of spades” and the second is a “10 of second is a “6 of clubs”? diamonds”? 4. The area of a 5. Give an example of triangle whose base is the associative 9 inches is 18 square property of inches. Find the multiplication. height of the triangle. Week 32 Tuesday 1. In a deck of 2. In a deck of 3. Solve cards, what is the cards, what is the probability that the probability that the -3t + 2(2t +1) = 9 + 2t top card is a spade? top card is a King? 4. Pete is 6 feet tall 5. Give the and casts a shadow of coordinates of 2 10 feet. How long is points that are not the shadow of the 12- solutions to foot basketball goal 2y – x = 3. Pete is standing next to? Probability August 2007 Prealgebra Daily Warm-Ups Week 32 Wednesday 1. If there are 20 2. In the lottery in 3. The Mathematics numbered balls in the problem 1, what is the Club has $2.61 in its lottery, what is the probability that the treasury, which is probability that your winning numbers are three times as much 3 favorite numbers 11, 17 and 19? as the Poetry Club has are the numbers in its treasury. Find chosen to win d, the amount in the (assume that the Poetry Club treasury. numbers are put back after they are drawn)? 4. 5. Refer to Graph L. 36 6 Name three points has an answer greater that are not on either than or less than 36? line. Week 32 Thursday 1. A die is rolled, 2. A die is rolled, 3. Solve find P (prime). find P(7). 38 – 8h = 17 - h 4. Refer to Graph N. 5. Write a rule for the Name three ordered function in the table. pairs that are not on either line. x y 0 3 1 0 2 -3 3 -6 Probability August 2007