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Review for Chapter 5 Test 7th grade math Insert Lesson Title Here 5-1 A coin bank contains 16 quarters, 12 dimes, and 8 nickels. Write the given ratio in all three forms. 1. nickels to quarters 8 , 8 to 16, 8:16 or 1 , 1 to 2, 1:2 16 2 2. dimes to nickels 12 , 12 to 8, 12:8 or 3 , 3 to 2, 3:2 8 2 3. nickels and dimes to quarters 20 , 20 to 16, 20:16 or 5 , 5 to 4, 5:4 16 4 Insert Lesson Title Here 5-2 1. Find the unit rate and write it in both fraction and word form. There are 220 calories in 5 crackers. 44 calories , 44 calories per cracker 1 cracker 2. Kim and Ted work out on treadmills together at the gym. Kim walked 3.0 miles in 21 minutes, while Ted walked 4.5 miles in 42 minutes. Who walked at the faster rate? Kim Insert Lesson Title Here More 5-2 Determine whether the rates are proportional by writing them in simplest form and comparing them. 1. 9 , 12 2. 12 , 10 30 40 21 15 3 , 3 ; proportional 4 , 2 ; not proportional 10 10 7 3 Determine if the ratios are proportional by finding a common denominator. 3. 3 , 2 4. 3 , 9 8 5 7 21 15 , 16 ; not proportional 9 , 9 ; proportional 40 40 21 21 Insert Lesson Title Here More 5-2 5. In a local pre-school, there are 5 children for every teacher. Write an equivalent ratio to show how many children there would be if there were 4 teachers. 5 , 20 1 4 Insert Lesson Title Here 5-3 Use cross products to solve the proportion. 1. 25 = 45 t = 36 20 t x 2. = 19 x=3 9 57 3. 2 = r r = 24 3 36 4. n = 28 n = 35 10 8 Insert Lesson Title Here 5-3 5. Carmen bought 3 pounds of bananas for $1.08. June paid $ 1.80 for her purchase of bananas. If they paid the same price per pound, how many pounds did June buy? 5 pounds Insert Lesson Title Here 5-4 Dimensional Analysis Use a unit conversion factor to convert the units. 1. Football fields are 100 yards long. How many feet is that? 300 feet 2. In biology lab you measure a grasshopper’s wing span to be 3 inches long. How many centimeters is this? 7.62 cm Use a unit conversion factor to convert the units within a rate. 3. On a freeway a car’s speed is 62 miles per hour. What speed is that in feet per hour? 327,360 ft/h 4. If you are paid $7.50 per hour to watch your neighbor’s children, how much are you paid per minute? 12.5 cents per minute Insert Lesson Title Here 5-5 1. Identify the corresponding sides in the pair of triangles, and use ratios to determine whether the triangles are similar. NO corresponds to QR; PO corresponds to SR; PN corresponds to SQ; similar Insert Lesson Title Here 5-5 2. Use properties of similarity to determine whether the figures are similar. not similar Insert Lesson Title Here 5-6 Find the unknown length in each pair of similar figures. J A 144 cm 3. These two rectangular 1. 96 cm cakes are similar in 80 cm C x shape. How long is the 56 cm K larger cake? B L 84 cm 10 in. x = 120 cm 6 in. x 2. 9 in. 160 cm 120 cm t 72 cm 90 cm x = 15 inches t = 150 cm Insert Lesson Title Here 5-7 Identify the scale factor. 1. Statue of Liberty Model Height (in.) 1,824 8 1 228 2. On a scale drawing, a kitchen wall is 6 inches long. 1 The scale factor is . What is the length of the 24 actual wall? 144 inches, or 12 feet Insert Lesson Title Here 5-7 3. On a road map, the distance from Green Bay to Chicago is 11 cm. What is the actual distance between the cities if the map scale is 3 cm = 90 km? 330 km SKILLS SKILLS Prime Factorization Reducing fractions Greatest Common Factor Sci. Notation Least Common Multiple Decimals to fractions Add dec. Equivalent Fractions Sub dec Comparing Fractions Mult Dec Mixed Number to Improper Div Dec Improper to Mixed Simplifying fractions Add Fractions Sub Fractions Multiply Fractions Divide Fractions

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posted: | 3/5/2014 |

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