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Semester 1 Exam Review _Algebra_ by tangshuming

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									Semester 1 Exam Review

Multiple Choice
Identify the choice that best completes the statement or answers the question.

____    1. To which subsets of the real numbers does the number                           belong?
           a. whole numbers, natural numbers, integers
           b. irrational numbers
           c. rational numbers
           d. whole numbers, integers, rational numbers
                                                        1
____    2. What is the order of                , 0.5,     , 1.6,   from least to greatest?
                                                        6
             a.   1                                                  c.                    1
                    , 0.5, 1.6,        ,                                  1.6,        ,      ,      , 0.5
                  6                                                                        6
             b.                            1                         d.                                 1
                          ,   , 1.6,         , 0.5                        0.5, 1.6,          ,      ,
                                           6                                                            6

             What property is illustrated by each statement?

____    3. 8 + 3.4 = 3.4 + 8
           a. Inverse Property of Addition
           b. Associative Property of Addition
           c. Commutative Property of Addition
           d. Inverse Property of Multiplication
____    4. 7 + (4 + 4) = (7 + 4) + 4
           a. Inverse Property of Addition
           b. Associative Property of Addition
           c. Commutative Property of Multiplication
           d. Commutative Property of Addition

____    5.

             a.   Associative Property of Addition
             b.   Commutative Property of Multiplication
             c.   Inverse Property of Multiplication
             d.   Commutative Property of Addition

             Simplify each expression.


____    6.
             a.   5s                                                c.   4 s
                      4                                                     5


             b.                                                      d.   4 g
                  4                                                         5
                  5
                      g
____    7. (ab)c = a(cb).
           a. true
           b. false
            What is the simplified form of each expression?

____   8.
            a. 7.8m2 – 1.3n                              c. 7.8m2 + 10.5n
            b. –2.8m2 – 1.3n                             d. –2.8m2 + 10.5n

            What sum or difference is equivalent to the expression?

____   9.
            a.   3    1           b.   1    3            c.   5                d.   1
                   x+                    x+                     x
                 8    4                4    8                 8                     4

____ 10.
            a.   1    2           b.   2    1            c.   1                d.   2
                   x–                    x–                     x
                 3    9                9    3                 9                     9

            What is the solution of the equation?

____ 11.
         a. 1.4                                          c. 2.8
         b. 1                                            d. 0.6
              2
                5
____ 12. –9 =
               17
         a.     153                                      c.     17
                                                            
                 5                                              45
         b.      5                                       d.     45
                                                            
                153                                             17
____ 13. Hannah wants to buy a $570 camera. She can save $50 each week from her paycheck. However, before Hannah
         can buy the camera, she must give her brother $80 that she owes him. For how many weeks will Hannah need to
         save before she can pay back her brother and buy the camera?

            a. 15 weeks           b. 13 weeks            c. 11 weeks           d. 17 weeks
____ 14. Which property of equality justifies step f?




           a.   Multiplication Property of Equality
           b.   Subtraction Property of Equality
           c.   Division Property of Equality
           d.   Addition Property of Equality

           What is the solution of the equation?

____ 15.
         a. –10                  b. –6                    c. 2                      d. 10
____ 16. Angela and Neil are going to the movies. They each bought a medium popcorn, and Neil got a small soft drink.
         Angela had a $5 gift certificate to put toward the cost, and Neil paid the rest, which came to $27.90. A movie
         ticket costs $10.00 and a medium popcorn costs $5.50. How much does a small soft drink cost at the theater?
         a. $1.90                b. $7.40                 c. $2.90                  d. $17.40

           What is the solution of the equation?

____ 17. 70 = –7(–2 – 2z)

           a. 4                    b. –28                 c. –112                d. 784

____ 18.
           a.   15                 b. 2                   c. –10                 d. –1

____ 19.
         a. 22                   b. 99                   c. 4                   d. 18
____ 20. A camera manufacturer spends $2250 each day for overhead expenses plus $6 per camera for labor and
         materials. The cameras sell for $16 each. How many cameras must the company sell in one day to equal its daily
         costs? If the manufacturer can increase production by 50 cameras per day, what would their daily profit be?
         a. The company must sell 141 cameras to equal its daily costs; $340
         b. The company must sell 225 cameras to equal its daily costs; $800
         c. The company must sell 165 cameras to equal its daily costs; $100
         d. The company must sell 225 cameras to equal its daily costs; $500
____ 21.     A copy center offers its customers two different pricing plans for black and white photocopies of 8.5 in. by
            11 in. pages. Customers can either pay $0.08 per page or pay $7.50 for a discount card that lowers the cost to
            $0.05 per page. Write and solve an equation to find the number of photocopies for which the cost of each plan is
            the same.
            a.                           ;                   c.                          ;
            b.                           ;                   d.                         ;

            What is the solution of the equation?

____ 22.
            a. 1                    b. –1                   c. 0                     d. 2
____ 23.
         a. p = 6               b. p = 5                    c. p = 7                 d. p = 12
____ 24. Which equation is an identity?
         a.                                                 c.
         b.                                                 d.
____ 25. Which equation has no solution?
         a.                                                 c.

            b.                                              d.

            What is the solution of each equation?

____ 26.
            a.   8                                          c. infinitely many solutions
            b.   8                                         d. no solution
____ 27.
            a. 5                                        c. infinitely many solutions
                 
               6
         b.    2                                        d. no solution
             2
               3
____ 28. Nina wants to download games for her video game console. Older games cost 250 points and new releases cost
         500 points. Nina has 7500 points to use. The equation                    , where a is the number of older
         games and b is the number of new releases, models the situation. How many older games can she download if
         she downloads five new games?
         a. 20                                          c. 17
         b. 12                                          d. 40
____ 29. What equation do you get when you solve                  for x?
         a.                                             c.

            b.                                              d.


____ 30. What equation do you get when you solve                       for y?
            a.                                              c.

            b.                                              d.

____ 31. The total cost to rent a row boat is $16 times the number of hours the boat is used. How long can you rent the
         boat for $224?
         a. 14 hours               b. 0.071 hours          c. 3584 hours          d. 11 hours
            What is the solution of the proportion?

____ 32.
            a.                         b.                     c.                       d.


____ 33.
         a. 32                   b. 40                    c. 64                   d. 72
____ 34. School guidelines require that there must be at least 2 chaperones for every 25 students going on a school trip.
         How many chaperones must there be for 80 students?
         a. 6 chaperones                                  c. 3 chaperones
         b. 40 chaperones                                 d. 7 chaperones

            In the diagram, the figures are similar. What is x?

____ 35.




                 8 ft
                                               x


                            7 ft                      3 ft
                               Drawing not to scale


         a. 3.4 ft                 b. 0.4 ft                 c. 2.3 ft               d. 2.6 ft
____ 36. A tree casts a shadow 10 ft long. A boy standing next to the tree casts a shadow 2.5 ft. long. The triangle shown
         for the tree and its shadow is similar to the triangle shown for the boy and his shadow. If the boy is 5 ft. tall, how
         tall is the tree?




                        Drawing not to scale
         a. 18 ft                     b. 12.5 ft          c. 15 ft                d. 20 ft
____ 37. A flagpole casts a shadow 10 ft long. A girl standing next to the flagpole casts a shadow 2.5 ft. long. If the girl
         is 5 ft. tall, how tall is the flagpole?
         a. 18 ft                     b. 12.5 ft          c. 15 ft                d. 20 ft
           Use the scale and map measurements to find the actual distance from New Wilmington to Sharon
           through the specified town.



                                                              1.75 in.      Sharon

                                            1.5 in.
                                                          Mercer
                                                                     2.25 in.
                 New Wilmington
                                      1.75 in.

                                                 Volant
                Scale 1 in. : 12 mi


____ 38. What is the actual distance from New Wilmington to Sharon through Mercer?

         a. 78 mi                                        c. 58.5 mi
         b. 19.5 mi                                      d. 39 mi
____ 39. What is the actual distance from New Wilmington to Sharon through Volant?
         a. 96 mi                                        c. 48 mi
         b. 72 mi                                        d. 24 mi
____ 40. Two rectangles are similar. One has a length of 10 cm and a width of 8 cm, and the other has a width of 7 cm.
         Find the length of the second rectangle. Round to the nearest tenth if necessary.
         a. 8.8 cm                b. 6.6 cm              c. 10.1 cm                d. 5.6 cm

           What inequality represents the verbal expression?

____ 41. all real numbers less than 69
         a.                       b.                               c. x > 69         d. x < 69
____ 42. 8 less than a number n is less than 11
         a. 11 – 8 < n                                             c. 8 – n < 11
         b. n – 8 < 11                                             d. 11 < 8 – n

           Which number is a solution of the inequality?

____ 43.  10.6 < b
         a. –18                        b. –9                       c. 7              d. 14
              7
____ 44. m 
              12
         a. 1                          b. –1                       c. –9             d. –5
____ 45. 8 < x(7 – x)
         a. 2                          b. 8                        c. –1             d. 0

           What inequality describes the situation?

____ 46. Let t = the amount Thomas earned. Thomas earned $49 or more.
         a.                    b.                     c. t > 49                      d. t < 49
            What are the solutions of the inequality? Graph the solutions.

____ 47.

            a.


                             –1                  0             1                 2

            b.

                             –1                  0             1                 2

            c.


                             –1                  0             1                 2

            d.

                   –2                 –1             0                 1             2



            What are the solutions of the inequality? Graph the solutions.

____ 48.

            a.

                   –50 –40 –30 –20 –10               0    10   20          30   40   50



            b.

                   –10 –8     –6           –4   –2   0    2        4       6    8    10

            c.

                   –14 –12 –10 –8               –6   –4   –2       0       2    4    6

            d.

                   –8   –4        0        4    8    12   16   20          24   28   32

____ 49. Suppose you had d dollars in your bank account. You spent $12 but have at least $51 left. How much money did
         you have initially? Write and solve an inequality that represents this situation.
         a.               ;                                c.               ;
         b.               ;                                d.              ;
____ 50. Your class hopes to collect at least 325 cans of food for the annual food drive. There were 135 cans donated the
         first week and 89 more the second week.

            Write an inequality that describes this situation. Let c represent the number of cans of food that must be
            collected by the end of the third week for your class to meet or surpass your goal. How many cans are needed
            to meet or surpass your goal?

            a. 135 + 89 + c > 325; c > 101                                                c. 135 + 89 + c  325; c  101
            b. 135 + 89 + 325  c; c  549                                                d. 135 + 89 + c  325; c  549
            What are the solutions of the inequality? Graph and check the solutions.

____ 51.

            a.

                     –10 –8   –6   –4   –2   0    2       4   6    8   10

            b.

                     –10 –8   –6   –4   –2   0    2       4   6    8   10

            c.

                     –10 –8   –6   –4   –2   0    2       4   6    8   10

            d.

                     –10 –8   –6   –4   –2   0    2       4   6    8   10

____ 52. The French Club is sponsoring a bake sale. If their goal is to raise at least $140, how many pastries must they
         sell at $3.50 each in order to meet that goal? Write and solve an inequality.
         a.               ;                               c.                ;
         b.               ;                               d.                ;

            What are the solutions of the inequality? Check the solutions.

             2          9
____ 53.     – x–9<
             5          10
         a.           3           b.          3             c.      9              d.       24
             x > 24                  x < 10                   x< 9                    x< 3
                      4                      10                     10                      25
____ 54. The width of a rectangle is 33 centimeters. The perimeter is at least 776 centimeters. Write and solve an
         inequality to find the possible lengths of the rectangle.

            a.                     ;
            b.                           ;
            c.                           ;
            d.                     ;

            What are the solutions of the inequality?

____ 55.
            a.                               b.                             c.                    d.

____ 56.
            a.                               b.                             c.                    d.

____ 57.
            a.          20                   b.                    3        c. n    –4            d.       8
                 n                                    n       1                                       n
                        21                                         5                                       21

            What are the solutions of the inequality?

____ 58.
            a.                                                              c. all real numbers
            b.                                                              d. no solution
____ 59.
            a.                                                            c. all real numbers
            b.                                                            d. no solution

            How do you write the set in roster form? In set builder notation?

____ 60. D is the set of whole numbers less than 3.
         a. D = {0,1,2,3,4,5}; D = {x is a whole number, x < 3}
         b. D = {0,1}; D = {x | x < 3}
         c. D = {0,1,2}; D = {x | x is a whole number, x < 3}
         d. D = {0,1,2,3,4,5,6,7}; D = {x < 3}

            In set builder notation, how do you write the solutions of the inequality?

____ 61.
            a.                                                            c.

            b.                                                            d.

____ 62.
            a.                                                            c.

            b.                                                            d.



            What compound inequality represents the phrase? Graph the solutions.

____ 63. all real numbers w that are less than –7 or greater than 14
         a. –7 < w < 14

                 –14 –12 –10 –8   –6   –4   –2   0   2   4   6   8   10   12   14   16   18   20   22

            b. w < 14 or w > –7

                 –14 –12 –10 –8   –6   –4   –2   0   2   4   6   8   10   12   14   16   18   20   22

            c. w < –7 or w > 14

                 –14 –12 –10 –8   –6   –4   –2   0   2   4   6   8   10   12   14   16   18   20   22

            d. w < –7 or w        14

                 –14 –12 –10 –8   –6   –4   –2   0   2   4   6   8   10   12   14   16   18   20   22

____ 64. A student scored 83 and 91 on her first two quizzes. Write and solve a compound inequality to find the possible
         values for a third quiz score that would give her an average between 85 and 90, inclusive.

            a.

            b.

            c.

            d.
____ 65. What is the graph of (–8, 2]?

           a.
                 –10 –8   –6    –4    –2    0        2        4        6        8        10

           b.
                 –10 –8   –6    –4    –2    0        2        4        6        8        10

           c.
                 –10 –8   –6    –4    –2    0        2        4        6        8        10

           d.
                 –10 –8   –6    –4    –2    0        2        4        6        8        10

____ 66. How do you write                            and                             in interval notation?

         a. [–6, –3]                                                                               c. [–6, –3)
         b. (–6, –3)                                                                               d. (–6, –3]
____ 67. What is the graph of                                     or                      ?

           a.
                   –11 –10 –9    –8    –7       –6       –5       –4       –3       –2    –1   0   1    2   3   4    5     6   7   8   9   10   11   12

           b.
                   –11 –10 –9    –8    –7       –6       –5       –4       –3       –2    –1   0   1    2   3   4    5     6   7   8   9   10   11   12

           c.
                   –11 –10 –9    –8    –7       –6       –5       –4       –3       –2    –1   0   1    2   3   4    5     6   7   8   9   10   11   12

           d.
                   –11 –10 –9    –8    –7       –6       –5       –4       –3       –2    –1   0   1    2   3   4    5     6   7   8   9   10   11   12

____ 68. How do you write                            or                              as an inequality?

           a.         or                                                                           c.               and
           b.          or                                                                          d.                and

           What are the solutions of the equation? Graph and check the solutions.

____ 69.
           a. n = 2

                  –11 –10 –9     –8    –7   –6       –5       –4       –3       –2        –1   0   1    2   3   4    5     6   7   8   9   10   11   12

           b. n = 2 or n = –2

                  –11 –10 –9     –8    –7   –6       –5       –4       –3       –2        –1   0   1    2   3   4    5     6   7   8   9   10   11   12

           c. n = 6 or n = –6

                  –11 –10 –9     –8    –7   –6       –5       –4       –3       –2        –1   0   1    2   3   4    5     6   7   8   9   10   11   12

           d. no solution
____ 70. Starting from 1.5 miles away, a car drives towards a speed check point and then passes it. The car travels at a
         constant rate of 53 miles per hour. The distance of the car from the check point is given by             . At
         what times is the car 0.1 miles from the check point?

            a. 95.1 s and 108.7 s                                            c. 108.7 s and 10.2 s
            b. 10.2 and 101.9 s                                              d. 95.1 s and 10.2 s

____ 71.
            a. p = 5

                    –11 –10 –9   –8   –7   –6   –5   –4   –3   –2   –1   0   1   2   3   4   5   6   7   8   9   10   11   12

            b. p = –5 or 5

                    –11 –10 –9   –8   –7   –6   –5   –4   –3   –2   –1   0   1   2   3   4   5   6   7   8   9   10   11   12

            c. p = –5

                    –11 –10 –9   –8   –7   –6   –5   –4   –3   –2   –1   0   1   2   3   4   5   6   7   8   9   10   11   12

            d. no solution

                    –11 –10 –9   –8   –7   –6   –5   –4   –3   –2   –1   0   1   2   3   4   5   6   7   8   9   10   11   12



____ 72.
            a.            1
                 x = 5
                          2

                    –11 –10 –9   –8   –7   –6   –5   –4   –3   –2   –1   0   1   2   3   4   5   6   7   8   9   10   11   12

            b.            1      1
                 x = 5     or 4
                          2      2

                    –11 –10 –9   –8   –7   –6   –5   –4   –3   –2   –1   0   1   2   3   4   5   6   7   8   9   10   11   12

            c.            1      1
                 x = 5     or 5
                          2      2

                    –11 –10 –9   –8   –7   –6   –5   –4   –3   –2   –1   0   1   2   3   4   5   6   7   8   9   10   11   12

            d. no solution

                    –11 –10 –9   –8   –7   –6   –5   –4   –3   –2   –1   0   1   2   3   4   5   6   7   8   9   10   11   12
            What are the solutions of the inequality? Graph the solution.

____ 73.

            a.           or

                     –11 –10 –9   –8   –7   –6   –5   –4   –3   –2   –1   0   1   2   3   4   5   6   7   8   9   10   11   12

            b.

                     –11 –10 –9   –8   –7   –6   –5   –4   –3   –2   –1   0   1   2   3   4   5   6   7   8   9   10   11   12

            c.

                    –11 –10 –9    –8   –7   –6   –5   –4   –3   –2   –1   0   1   2   3   4   5   6   7   8   9   10   11   12

            d.         and

                    –11 –10 –9    –8   –7   –6   –5   –4   –3   –2   –1   0   1   2   3   4   5   6   7   8   9   10   11   12

____ 74. The optimal operating temperature of a given car engine is within 10°F of 190°F. Write an absolute value
         inequality for the range of acceptable temperatures and solve the inequality.

         a.                ;                                 c.                ;         or
         b.                ;                                 d.                ;         or
____ 75. The ideal width of a safety belt strap for a certain automobile is 5 cm. The actual width can vary by at most 0.35
         cm. Write an absolute value inequality for the range of acceptable widths and solve the inequality.
         a.                  ;                               c.                  ;
         b.                  ;                               d.                  ;
____ 76. You have two boxes of colored pens. The first box contains a red pen, a blue pen, and green pen. The second
         box contains a yellow pen, a red pen, and a black pen. What is the set that represents all the pens?

            a.   {red pen, blue pen, green pen}
            b.   {red pen}
            c.   {red pen, red pen, green pen, yellow pen, black pen}
            d.   {red pen, blue pen, green pen, yellow pen, black pen}

            Let X = {x | x is a whole number less than 15}, Y = { x | x is a multiple of 3}, Z = {x | x is a real number
            greater than or equal to 5.5}.

____ 77. What is        ?
         a.
         b.
         c.
         d.
____ 78. Of 300 consumers polled, some purchase music on CDs, some only download music, and some do both. If 280
         people polled purchase CDs and 270 purchase CDs and download music, how many people download music?

            a. 10                                                             c. 270
            b. 20                                                             d. 290
____ 79. Of 500 consumers polled, some purchase ice cream, some purchase frozen yogurt, and some purchase both. If
         300 people polled purchase ice cream and 290 purchase both ice cream and frozen yogurt, how many people
         purchase frozen yogurt?


         a. 490                                             c. 200
         b. 290                                             d. 10
____ 80. What are the solutions of               ? Write the solutions as either the union or the intersection of two sets.

           a.
           b.
           c.
           d.

           In the diagram below, what is the relationship between the number of triangles and the perimeter of the
           figure they form?


                                                                    5                  5




                                          7        7     7                 7   7                 7




                                               5                5                  5         5
                                          1 triangle         2 triangles           3 triangles

____ 81. Which of the following represents the above relationship?

           a. The perimeter, P, is equal to the length of the base of one triangle multiplied by the number
              of triangles in the figure, n, plus the length of another side. The equation for the perimeter is
                          .
           b. The perimeter, P, is equal to the length of a side of one triangle multiplied by the number
              of triangles in the figure, n, plus the length of the base. The equation for the perimeter is
                          .
           c. The perimeter, P, is equal to the length of a side of one triangle multiplied by the number
              of triangles in the figure, n, plus two times the length of the base. The equation for the
              perimeter is               .
           d. The perimeter, P, is equal to the length of the base of one triangle multiplied by the number
              of triangles in the figure, n, plus two times the length of another side. The equation for the
              perimeter is               .
           The table shows the relationship between the number of sports teams a person belongs to and the
           amount of free time the person has per week.

            Number of Sports                    Free Time
                Teams                            (hours)
                  0                                46
                  1                                39
                  2                                32
                  3                                25

____ 82. Is the above relationship a linear function?

         a. yes                                                    b. no
____ 83. What is the graph for the above relationship?
         a.     50                                                 c.                    50

                                 45                                                      45

                                 40                                                      40

                                 35                                                      35
                Free Time (hr)




                                                                        Free Time (hr)
                                 30                                                      30

                                 25                                                      25

                                 20                                                      20

                                 15                                                      15

                                 10                                                      10

                                  5                                                       5


                                      1     2     3     4      5                              1     2     3     4      5
                                      Number of Sports Teams                                  Number of Sports Teams
           b.                    50                                d.                    50

                                 45                                                      45

                                 40                                                      40

                                 35                                                      35
                Free Time (hr)




                                                                        Free Time (hr)




                                 30                                                      30

                                 25                                                      25

                                 20                                                      20

                                 15                                                      15

                                 10                                                      10

                                  5                                                       5


                                      1     2     3     4      5                              1     2     3     4      5
                                      Number of Sports Teams                                  Number of Sports Teams
            The table shows the total number of squares in each figure below. What is a pattern you can use to
            complete the table?




____ 84. Which of the following equations represents the pattern above?

            a.                                                 c.
            b.                                                 d.
____ 85. Which of the following graphs matches the pattern described above?
         a.         y                                  c.          y
                    150                                               100

                    135                                                90

                    120                                                80

                    105                                                70

                     90                                                60

                     75                                                50

                     60                                                40

                     45                                                30

                     30                                                20

                     15                                                10


                              1   2     3     4     5   x                       1    2     3    4     5   x



            b.            y                                    d.           y
                    200                                               150
                    180                                               135
                    160                                               120
                    140                                               105
                    120                                                90
                    100                                                75
                     80                                                60
                     60                                                45
                     40                                                30
                     20                                                15


                              1   2     3     4     5   x                       1    2     3    4     5   x



____ 86. The ordered pairs (1, 1), (2, 4), (3, 9), (4, 16), and (5, 25) represent a function. What is a rule that represents this
         function?

            a.                                                 c.
            b.                                                 d.
____ 87. The ordered pairs (1, 81), (2, 100), (3, 121), (4, 144), and (5, 169) represent a function. What is a rule that
         represents this function?
         a.                                                 c.
         b.                                                 d.
____ 88. The ordered pairs (1, 6), (2, 36), (3, 216), (4, 1296), and (5, 7776) represent a function. What is a rule that
         represents this function?
         a.                                                 c.
         b.                                                 d.

            What is the graph of the function rule?

____ 89.
            a.                         y                     c.                         y

                                   4                                                4

                                   2                                                2


                       –4    –2            2     4      x              –4     –2            2     4      x
                                  –2                                               –2

                                  –4                                               –4



            b.                         y                     d.                         y

                                   4                                                4

                                   2                                                2


                       –4    –2            2     4      x              –4     –2            2     4      x
                                  –2                                               –2

                                  –4                                               –4
____ 90. A taxi company charges passengers $1.00 for a ride, and an additional $0.30 for each mile traveled. The
         function rule                      describes the relationship between the number of miles m and the total cost of
         the ride c. If the taxi company will only go a maximum of 40 miles, what is a reasonable graph of the function
         rule?
         a.           C                                    c.          C
                 20                                                20

                   18                                              18

                   16                                              16

                   14                                              14

                   12                                              12

                   10                                              10

                    8                                               8

                    6                                               6

                    4                                               4

                    2                                               2


                            10    20    30     40   m                       10    20    30     40   m



            b.          C                                  d.           C
                   20                                              20

                   18                                              18

                   16                                              16

                   14                                              14

                   12                                              12

                   10                                              10

                    8                                               8

                    6                                               6

                    4                                               4

                    2                                               2


                            10    20    30     40   m                       10    20    30     40   m




            Write a function for the situation. Is the graph continuous or discrete?

____ 91. A movie store sells DVDs for $11 each. What is the cost, C, of n DVDs?
         a. C = 11n; continuous                          c. C = 11 + n; continuous
         b. C = 11 + n; discrete                         d. C = 11n; discrete
____ 92. A produce stand sells roasted peanuts for $1.90 per pound. What is the cost, C, of p pounds of peanuts?
         a. C = 1.90p; continuous                        c. C = 1.90 + p; continuous
         b. C = 1.90p; discrete                          d. C = 1.90 + p; discrete
           What is the graph of each function rule?

____ 93.
           a.                       y                     c.                  y

                                4                                         4

                                2                                         2


                    –4    –2            2    4        x        –4   –2            2   4   x
                               –2                                        –2

                               –4                                        –4



           b.                       y                     d.                  y

                                4                                         4

                                2                                         2


                    –4    –2            2    4        x        –4   –2            2   4   x
                               –2                                        –2

                               –4                                        –4
____ 94.
           a.                  y               c.                  y

                           4                                   4

                           2                                   2


                –4   –2            2   4   x        –4   –2            2   4   x
                          –2                                  –2

                          –4                                  –4



           b.                  y               d.                  y

                           4                                   4

                           2                                   2


                –4   –2            2   4   x        –4   –2            2   4   x
                          –2                                  –2

                          –4                                  –4
____ 95.
           a.                  y               c.                  y

                           4                                   4

                           2                                   2


                –4   –2            2   4   x        –4   –2            2   4   x
                          –2                                  –2

                          –4                                  –4



           b.                  y               d.                  y

                           4                                   4

                           2                                   2


                –4   –2            2   4   x        –4   –2            2   4   x
                          –2                                  –2

                          –4                                  –4
____ 96.
            a.                          y                     c.                            y

                                    4                                                 4

                                    2                                                 2


                       –4     –2            2     4       x              –4     –2              2   4      x
                                   –2                                                –2

                                   –4                                                –4



            b.                          y                     d.                            y

                                    4                                                 4

                                    2                                                 2


                       –4     –2            2     4       x              –4     –2              2   4      x
                                   –2                                                –2

                                   –4                                                –4



____ 97. The length of a field in yards is a function f(n) of the length n in feet. Write a function rule for this situation.
         a.                       b.                        c.                       d.


____ 98. Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $.59.
         a.                                                 c.
         b.                                                 d.


____ 99. A snail travels at a rate of 2.35 feet per minute.
         • Write a rule to describe the function.
         • How far will the snail travel in 5 minutes?
         a.             ; 11.75 ft                          c.
                                                                                ; 2.13 ft
          b.                   ; 7.35 ft                 d.                ; 11.75 ft
____ 100. A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted. Since then, it has grown
          approximately 0.5 centimeter per day.
          • Write a rule to describe the function.
          • After how many days will the zucchini plant be 0.185 meter tall?
          a.                                             c.                ; 37 days
                                 ; 3 days
            b.                      ; 13 days                 d.                      ; 1.4 days
____ 101. Write a function rule for the area, A, of a triangle whose base, b, is 2 cm less than seven times the height, h.
          What is the area of the triangle when the height is 14 cm?
          a.                                                 c.             ; 96 cm
                            ; 672 cm
            b.                                               d.                 ; 1344 cm
                             ; 48 cm
____ 102. Identify the mapping diagram that represents the relation and determine whether the relation is a function.


            a.                                               c.




                 The relation is not a function.                  The relation is a function.
            b.                                               d.




                 The relation is a function.                      The relation is not a function.

____ 103. Identify the mapping diagram that represents the relation and determine whether the relation is a function.


            a.                                               c.




                 The relation is a function.                      The relation is not a function
            b.                                               d.




                 The relation is a function.                      The relation is not a function.
____ 104. The function              represents the number of jumping jacks j(x) you can do in x minutes. How many
          jumping jacks can you do in 5 minutes?
          a. 195 jumping jacks                              c. 144 jumping jacks
          b. 7 jumping jacks                                d. 234 jumping jacks
____ 105. The function             represents the number of light bulbs b(n) that are needed for n chandeliers. How many
          light bulbs are needed for 15 chandeliers?
          a. 90 light bulbs                                 c. 96 light bulbs
          b. 2 light bulbs                                  d. 80 light bulbs
____ 106. You have 8 cups of flour. It takes 1 cup of flour to make 24 cookies. The function c(f) = 24f represents the
          number of cookies, c, that can be made with f cups of flour. What domain and range are reasonable for the
          function? What is the graph of the function?

            a. The domain is                                 .             c. The domain is                                 .
               The range is                 .                                 The range is                .
                        c( f)                                                         c( f)
                  300                                                           300

                  270                                                           270

                  240                                                           240

                  210                                                           210

                  180                                                           180

                  150                                                           150

                  120                                                           120

                   90                                                            90

                   60                                                            60

                   30                                                            30


                                2   4   6   8       10       12   14   f                      2   4   6   8       10       12   14   f



            b. The domain is                    .                          d. The domain is                   .
               The range is                              .                    The range is                             .
                        c( f)                                                         c( f)
                  300                                                           300

                  270                                                           270

                  240                                                           240

                  210                                                           210

                  180                                                           180

                  150                                                           150

                  120                                                           120

                   90                                                            90

                   60                                                            60

                   30                                                            30


                                2   4   6   8       10       12   14   f                      2   4   6   8       10       12   14   f
Semester 1 Exam Review
Answer Section

MULTIPLE CHOICE

     1.   ANS:   B       STA:   MA.912.D.7.2
     2.   ANS:   A       STA:   MA.912.D.7.2
     3.   ANS:   C       STA:   MA.912.A.3.2
     4.   ANS:   B       STA:   MA.912.A.3.2
     5.   ANS:   B       STA:   MA.912.A.3.2
     6.   ANS:   A       STA:   MA.912.A.3.2
     7.   ANS:   A       STA:   MA.912.A.3.2
     8.   ANS:   A       STA:   MA.912.A.3.2
     9.   ANS:   A       STA:   MA.912.A.3.2
    10.   ANS:   A       STA:   MA.912.A.3.2
    11.   ANS:   A       STA:   MA.912.A.3.2
    12.   ANS:   A       STA:   MA.912.A.3.2
    13.   ANS:   B       STA:   MA.912.A.3.1
    14.   ANS:   C       STA:   MA.912.A.3.1
    15.   ANS:   D       STA:   MA.912.A.3.1| MA.912.A.3.5
    16.   ANS:   A       STA:   MA.912.A.3.1| MA.912.A.3.5
    17.   ANS:   A       STA:   MA.912.A.3.1| MA.912.A.3.5
    18.   ANS:   D       STA:   MA.912.A.3.1| MA.912.A.3.5
    19.   ANS:   D       STA:   MA.912.A.3.1| MA.912.A.3.5
    20.   ANS:   D       STA:   MA.912.A.3.1| MA.912.A.3.2| MA.912.A.10.3
    21.   ANS:   A       STA:   MA.912.A.3.1| MA.912.A.3.2| MA.912.A.10.3
    22.   ANS:   A       STA:   MA.912.A.3.1| MA.912.A.3.2| MA.912.A.10.3
    23.   ANS:   A       STA:   MA.912.A.3.1| MA.912.A.3.2| MA.912.A.10.3
    24.   ANS:   B       STA:   MA.912.A.3.1| MA.912.A.3.2| MA.912.A.10.3
    25.   ANS:   D       STA:   MA.912.A.3.1| MA.912.A.3.2| MA.912.A.10.3
    26.   ANS:   C       STA:   MA.912.A.3.1| MA.912.A.3.2| MA.912.A.10.3
    27.   ANS:   D       STA:   MA.912.A.3.1| MA.912.A.3.2| MA.912.A.10.3
    28.   ANS:   A       STA:   MA.912.A.3.3
    29.   ANS:   D       STA:   MA.912.A.3.3
    30.   ANS:   A       STA:   MA.912.A.3.3
    31.   ANS:   A       STA:   MA.912.A.3.3
    32.   ANS:   C       STA:   MA.912.A.5.4
    33.   ANS:   B       STA:   MA.912.A.5.4
    34.   ANS:   D       STA:   MA.912.A.5.4
    35.   ANS:   A       STA:   MA.912.A.5.4
    36.   ANS:   D       STA:   MA.912.A.5.4
    37.   ANS:   D       STA:   MA.912.A.5.4
    38.   ANS:   D       STA:   MA.912.A.5.4
    39.   ANS:   C       STA:   MA.912.A.5.4
    40.   ANS:   A       STA:   MA.912.A.5.4
    41.   ANS:   D       STA:   MA.912.A.3.4
42.   ANS:   B   STA:   MA.912.A.3.4
43.   ANS:   D   STA:   MA.912.A.3.4
44.   ANS:   A   STA:   MA.912.A.3.4
45.   ANS:   A   STA:   MA.912.A.3.4
46.   ANS:   B   STA:   MA.912.A.3.4
47.   ANS:   C   STA:   MA.912.A.3.4
48.   ANS:   B   STA:   MA.912.A.3.4
49.   ANS:   C   STA:   MA.912.A.3.4
50.   ANS:   C   STA:   MA.912.A.3.4
51.   ANS:   D   STA:   MA.912.A.3.4| MA.912.A.10.3
52.   ANS:   D   STA:   MA.912.A.3.4| MA.912.A.10.3
53.   ANS:   A   STA:   MA.912.A.3.4| MA.912.A.3.5
54.   ANS:   B   STA:   MA.912.A.3.4| MA.912.A.3.5
55.   ANS:   C   STA:   MA.912.A.3.4| MA.912.A.3.5
56.   ANS:   C   STA:   MA.912.A.3.4| MA.912.A.3.5
57.   ANS:   C   STA:   MA.912.A.3.4| MA.912.A.3.5
58.   ANS:   C   STA:   MA.912.A.3.4| MA.912.A.3.5
59.   ANS:   D   STA:   MA.912.A.3.4| MA.912.A.3.5
60.   ANS:   C   STA:   MA.912.D.7.1| MA.912.D.7.2
61.   ANS:   A   STA:   MA.912.D.7.1| MA.912.D.7.2
62.   ANS:   D   STA:   MA.912.D.7.1| MA.912.D.7.2
63.   ANS:   C   STA:   MA.912.A.3.4
64.   ANS:   A   STA:   MA.912.A.3.4
65.   ANS:   C   STA:   MA.912.A.3.4
66.   ANS:   C   STA:   MA.912.A.3.4
67.   ANS:   C   STA:   MA.912.A.3.4
68.   ANS:   A   STA:   MA.912.A.3.4
69.   ANS:   B   STA:   MA.912.A.3.6
70.   ANS:   A   STA:   MA.912.A.3.6
71.   ANS:   D   STA:   MA.912.A.3.6
72.   ANS:   D   STA:   MA.912.A.3.6
73.   ANS:   A   STA:   MA.912.A.3.6
74.   ANS:   A   STA:   MA.912.A.3.6
75.   ANS:   D   STA:   MA.912.A.3.6
76.   ANS:   D   STA:   MA.912.D.7.1| MA.912.D.7.2
77.   ANS:   A   STA:   MA.912.D.7.1| MA.912.D.7.2
78.   ANS:   D   STA:   MA.912.D.7.1| MA.912.D.7.2
79.   ANS:   A   STA:   MA.912.D.7.1| MA.912.D.7.2
80.   ANS:   A   STA:   MA.912.D.7.1| MA.912.D.7.2
81.   ANS:   D   STA:   MA.912.A.2.3| MA.912.A.3.8
82.   ANS:   A   STA:   MA.912.A.2.3| MA.912.A.3.8
83.   ANS:   B   STA:   MA.912.A.2.3| MA.912.A.3.8
84.   ANS:   D   STA:   MA.912.A.2.3| MA.912.A.2.13
85.   ANS:   C   STA:   MA.912.A.2.3| MA.912.A.2.13
86.   ANS:   A   STA:   MA.912.A.2.3| MA.912.A.2.13
87.   ANS:   C   STA:   MA.912.A.2.3| MA.912.A.2.13
88.   ANS:   D   STA:   MA.912.A.2.3| MA.912.A.2.13
 89.   ANS:   B   STA:   MA.912.A.2.3| MA.912.A.2.13| MA.912.A.3.8
 90.   ANS:   A   STA:   MA.912.A.2.3| MA.912.A.2.13| MA.912.A.3.8
 91.   ANS:   D   STA:   MA.912.A.2.3| MA.912.A.2.13| MA.912.A.3.8
 92.   ANS:   A   STA:   MA.912.A.2.3| MA.912.A.2.13| MA.912.A.3.8
 93.   ANS:   D   STA:   MA.912.A.2.3| MA.912.A.2.13| MA.912.A.3.8
 94.   ANS:   D   STA:   MA.912.A.2.3| MA.912.A.2.13| MA.912.A.3.8
 95.   ANS:   C   STA:   MA.912.A.2.3| MA.912.A.2.13| MA.912.A.3.8
 96.   ANS:   A   STA:   MA.912.A.2.3| MA.912.A.2.13| MA.912.A.3.8
 97.   ANS:   A   STA:   MA.912.A.2.3| MA.912.A.2.13
 98.   ANS:   D   STA:   MA.912.A.2.3| MA.912.A.2.13
 99.   ANS:   D   STA:   MA.912.A.2.3| MA.912.A.2.13
100.   ANS:   B   STA:   MA.912.A.2.3| MA.912.A.2.13
101.   ANS:   A   STA:   MA.912.A.2.3| MA.912.A.2.13
102.   ANS:   B   STA:   MA.912.A.2.3| MA.912.A.2.4
103.   ANS:   D   STA:   MA.912.A.2.3| MA.912.A.2.4
104.   ANS:   A   STA:   MA.912.A.2.3| MA.912.A.2.4
105.   ANS:   A   STA:   MA.912.A.2.3| MA.912.A.2.4
106.   ANS:   B   STA:   MA.912.A.2.3| MA.912.A.2.4

								
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