MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. : 1 C) A) 1: 14 B) 6 : 14 C)3 : 7 D) 14 : 1

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1 3161-Unit-2-Pretest Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) Express 72 : 102 as a ratio whose second term is 1. A) : 1 B) : 1 C) : 1 D) : 1 1) 2) Express 30 : 6 as a ratio whose second term is 1. A) 5 6 : 1 B) 10 2 : 1 C)5 : 1 D) 1 5 : 1 2) 3) Express 7 3 : 1 6 as a ratio whose terms are whole numbers. 3) A) 1: 14 B) 6 : 14 C)3 : 7 D) 14 : 1 4) Express 30 : 70 as a ratio whose second term is 1. A) 3 7 : 1 B) 7 3 : 1 C) 10 7 : 1 D) 3 10 : 1 4) Write as a percent. 5) 8.9 A) 89% B) 0.89% C) % D) 890% 5) 6) A) 595% B) 0.595% C) 59.5% D) % 6) 7) 8 A) 0.08% B) 800% C) 400% D) 0.8% 7) Solve the problem. Round your answer to the nearest tenth of a percent unless otherwise indicated. 8) Enrollment in a business seminar increased from 51 people to 64 people. What was the percent of increase? A) 25.5% B) 74.5% C) 20.3% D) 79.7% 8) 9) On a biology test, a student got 25 questions correct but did not pass. On a second attempt, the student got 32 questions correct. What was the percent of increase? A) 21.9% B) 7% C) 28% D) 72% 9) 10) All 33 of the students in a mathematics class attended class on Monday. On Tuesday only 27 students attended. What was the percent of decrease? A) 77.8% B) 81.8% C) 18.2% D) 22.2% 10) Solve the problem. 11) The trim for a costume costs $38.25 for 4.5 yd. Find the unit price in dollars per yard. A) $8.50 per yd B) $42.75 per yd C)$76.50 per yd D) $33.75 per yd 11) 1

2 12) Tasha, Tess, and Trudy need to spend a total of 60 hours over the next year to complete a project in their department. How much time will Trudy spend if they have agreed to split the time in the ratio 7 to 4 to 9, respectively? A) 27 hours B) 21 hours C)9 hours D) 15 hours 12) 13) Matt bought a 40 oz can of fuel additive for $ Roger bought the 64 oz size for $ Who made the better buy? What was the lowest price per ounce? A) Matt, $1.44 B) Roger, $1.02 C) Roger, $1.44 D) Matt, $ ) 14) An 8-oz bottle of hair spray costs $3.66. Find the unit price in cents per ounce. A) cents per oz B) cents per oz C)29.28 cents per oz D) 36.6 cents per oz 14) 15) Complete the table so that the ratios x y will all be equivalent to 3 8 (some values may not be whole 15) numbers). Express your answers as integers or decimals rounded to one decimal place. x 3?? ? y? 24 28?? 36 A) x y B) x y C) x y D) x y ) A model airplane takes 2.7 hours to construct and 13.5 hours to finish. Determine the ratio of construction time to finish time in simplest form. A) 1 : 5 B) 1 : 4 C)1 : 6 D) 5 : 1 16) 17) A recipe for muffin mix calls for 8 cups of flour, cups of oatmeal, and 4 tablespoons of baking 17) powder along with other ingredients. If you had only 3 cups of flour, what would be the comparable amounts of oatmeal and baking powder. A) 3 cups of oatmeal, B) 1 cups of oatmeal, C) 3 5 cups of oatmeal, 3 4 tablespoons baking powder tablespoons baking powder tablespoons baking powder D) 2 cups of oatmeal, 3 tablespoons baking powder 2

3 18) The distance from the downtown station to the last stop on a commuter railroad line is 20.3 miles. The distance between stops is about 2.9 miles. How many stops are there? A) 6 stops B) 7 stops C)3 stops D) 8 stops 18) 19) The ratio of the circumference, c, of a circle to its diameter, d, is about 3 : 1. (Approximately equal to π). Use this information to complete the spreadsheet. Express your answers as integers or mixed numbers. 19) A B 1 c d 2 9? 3? 12 4? 18 5? ? 7 6? A) A B 1 c d B) A B 1 c d C) A B 1 c d D) A B 1 c d ) Find the best buy. 20) Brand X 8 oz for $2.96 Brand Y 10 oz for $3.80 A) Equal value B) Brand X C) Brand Y D) Not enough information 3

4 21) June has a strip of paper 56.7 inches long. She wants to cut it into strips that are 8.1 inches long. How many 8.1-inch strips will she get? A) 70 strips B) 7 strips C)6 strips D) 8 strips 21) 22) A 6-pack of 4-oz containers of yogurt costs $2.99. What is the unit price in cents per ounce? Round to the nearest hundredth of a cent. A) cents per oz B) cents per oz C)18.69 cents per oz D) cents per oz 23) The ratio of the lengths of strings that play the notes D and B is 27 to 16. If a string 48 cm long plays a B, what is the length of the string that plays a D? A) 64 cm B) 75 cm C)48 cm D) 81 cm 22) 23) 24) The fuel for a gas snowblower consists of 1.7 parts oil to 30.6 parts gas. Determine the ratio of oil to gas in simplest form. A) 1 : 19 B) 18 : 1 C)17 : 1 D) 1 : 18 24) 25) Determine the ratio of miles driven to gallons used (miles per gallon) so that the ratios remain the same. Copy the graph and complete the two partial bars. 25) A) 140:1; for 30 gal 7000 mi could be driven; for 40 gal 5950 mi could be driven B) 192.5:1; for 30 gal 4900 mi could be driven; for 40 gal 6300 mi could be driven

5 C)157.5:1; for 30 gal 4550 mi could be driven; for 40 gal 5950 mi could be driven D) 175:1; for 30 gal 5250 mi could be driven; for 40 gal 7000 mi could be driven ) A grocer sold 16 bags of potatoes for $1.08 each. What was the total amount of the sale? A) $17.38 B) $18.38 C) $17.28 D) $ ) 27) A stockbroker sold 35 shares of stock for $28.74 each. What was the total amount of the sale? A) $ B) $ C) $ D) $ ) 28) Which is the better buy: one yard of ribbon for $0.65 or three feet of ribbon at $0.45 per foot. A) Equal value B) One yard C) Three feet D) Not enough information 28) 29) Carl wants to make some furniture stripper. The stripper is a mixture of chemicals A and B in the ratio of 10 to 2. How many ounces of chemical A are needed to make 24 ounces of stripper? A) 20 B) 22 C)4 D) 18 29) 30) Jake has a cable that is 22.4 feet long. He wants to cut it into pieces that are 3.2 feet long. How many 3.2-foot pieces will he get from the cable? A) 70 pieces B) 7 pieces C)8 pieces D) 6 pieces 30) 31) Alex wants to make a scale drawing of his dorm room. The actual room is 19 feet wide and 12 feet deep. Given space limitations for his drawing, he has at most 6.8 inches of width to make a scale drawing of the room. What would be the dimensions (in inches) of his scale drawing? A) If 6.8 inches represents 19 feet, the scale would be 1 inch represents approximately 1.6 feet. This scale would have a drawing 6.8 inches by 2.8 inches. B) If 6.8 inches represents 19 feet, the scale would be 1 inch represents approximately 2.8 feet. This scale would have a drawing 6.8 inches by 4.3 inches. C) If 6.8 inches represents 19 feet, the scale would be 1 inch represents approximately 0.6 feet. This scale would have a drawing 6.8 inches by 0.6 inches. D) If 6.8 inches represents 19 feet, the scale would be 1 inch represents approximately 0.4 feet. This scale would have a drawing 6.8 inches by 33.5 inches. 31) 32) John earns $9.43 per hour. If he works 16 hours, how much will he earn? A) $ B) $ C) $ D) $ ) 5

6 33) May planted 156 tulip bulbs in 6 hours and June planted 120 in 5 hours. Compare the ratios. Which person planted the most per hour? How many per hour? A) June, 24 B) June, 26 C)May, 26 D) May, 24 33) 34) The ratio of staff to patients at Lakeview is 8 to 7. If total staff plus patients is 1575 people, how many staff are at Lakeview? A) 735 B) 945 C)630 D) ) 35) The ratio of the distances a pitching wedge and an 8-iron will drive a golf ball is 4 to 5. If a golfer averages 137 yards with a pitching wedge, how far should she average with an 8-iron? A) 110 yd B) 146 yd C) yd D) 128 yd 35) 36) Tasha, Tess, and Trudy need to spend a total of 90 hours over the next year to complete a project in their department. How much time will Trudy spend if they have agreed to split the time in the ratio 7 to 3 to 8, respectively? A) 20 hours B) 40 hours C)35 hours D) 10 hours 36) 37) The ratio of the lengths of strings that play the notes D and B is 27 to 16. If a string 32 cm long plays a B, what is the length of the string that plays a D? A) 48 cm B) 59 cm C)54 cm D) 32 cm 37) 38) Tuition at a certain college recently increased from $9000 to $10,000. Find the ratio of the increase in price to the original price in simplest form. A) 9 : 19 B) 1 : 10 C)1 : 9 D) 9 : 10 38) 39) Carol and Donna agree to split a package of cashews according to how much time each of them spent mowing yards. Carol spent 231 minutes and Donna spent 264 minutes. Express the ratio of Carol s time to Donna s time in simplest form. How many of the 600 cashews will Carol get? A) 8 : 7; 320 B) 9 : 6; 360 C)6 : 9; 240 D) 7 : 8; ) 40) Tuition at a certain college recently increased from $2000 to $7000. Find the ratio of the increase in price to the original price in simplest form. A) 5 : 2 B) 5 : 7 C)2 : 7 D) 2 : 9 40) For the restaurant bill, estimate the tip. Then find the exact amount of the tip. State your answers to the nearest hundredth. 41) The restaurant bill is $ Give the estimate of a 20% tip and the exact amount of a 20% tip. 41) A) Estimate: $6.00 Exact: $6.16 B) Estimate: $12.00 Exact: $12.31 C) Estimate: $9.00 Exact: $9.24 D) Estimate: $15.00 Exact: $ ) The restaurant bill is $ Give the estimate of a 20% tip and the exact amount of a 20% tip. A) Estimate: $1.50 Exact: $2.03 B) Estimate: $0.50 Exact: $0.68 C) Estimate: $2.00 Exact: $2.71 D) Estimate: $1.00 Exact: $ ) 43) The restaurant bill is $ Give the estimate of a 20% tip and the exact amount of a 20% tip. A) Estimate: $2.50 Exact: $2.29 B) Estimate: $7.50 Exact: $6.86 C) Estimate: $10.00 Exact: $9.14 D) Estimate: $5.00 Exact: $ ) 6

7 44) The restaurant bill is $ Give the estimate of a 15% tip and the exact amount of a 15% tip. A) Estimate: $4.50 Exact: $4.01 B) Estimate: $3.00 Exact: $2.68 C) Estimate: $6.00 Exact: $5.35 D) Estimate: $7.50 Exact: $ ) 45) The restaurant bill is $ Give the estimate of a 15% tip and the exact amount of a 15% tip. A) Estimate: $2.00 Exact: $2.19 B) Estimate: $4.00 Exact: $4.37 C) Estimate: $8.00 Exact: $8.74 D) Estimate: $6.00 Exact: $ ) 46) The restaurant bill is $ Give the estimate of a 15% tip and the exact amount of a 15% tip. A) Estimate: $2.00 Exact: $2.96 B) Estimate: $1.50 Exact: $2.22 C) Estimate: $0.50 Exact: $0.74 D) Estimate: $1.00 Exact: $ ) Write the percent as a fraction in the lowest terms. 47) 488% A) B) C) D) ) 48) 7.5% A) 3 4 B) 3 40 C) 3 20 D) ) 49) 87.4% A) B) C) D) ) Convert to standard notation. 50) A) B) C) D) -429,600 50) 51) A) B) C) -191,000 D) ) 52) A) 7530 B) 75,300 C) D) ) Use a proportion to solve the problem. 53) Under typical conditions, ft of snow will melt to 2 in. of water. To how many inches of water 53) will ft of snow melt? Express your answer as an integer or mixed number. A) inches B) 61 2 inches C)47 8 inches D) 41 3 inches 54) If 4 sandwich rolls cost $1.08, how much will 18 rolls cost? A) $6.32 B) $4.32 C) $5.86 D) $ ) 7

8 55) The ratio of the distances a 7-iron and a 5-iron will drive a golf ball is 5 to 6. If a golfer averages 153 yards with a 7-iron, how far should he average with a 5-iron? Express your answer as an integer or mixed number. 55) A) 142 yards B) 164 yards C) yards D) yards Write the numbers in order of increasing size. 56) 2.25, 2 5 8, 2.52, ) A) 2.25, 2.52, 2 4 9, 25 8 B) 2.25, 2 4 9, 2.52, 25 8 C)2 4 9, 25 8, 2.25, 2.52 D) 25 8, 2.52, 24 9, ) 0.81, 0.81, 0.8, 8 10, ) A) 8 10, 0.8, 0.81, 0.81, 0.81 B) 8, 0.81, 0.81, 0.81, C)0.81, 0.81, 0.81, 0.8, 8 10 D) 0.8, 8, 0.81, 0.81, ) , 0.586, , A) 0.586, 0.586, , B) 0.586, , , C) 0.586, , , D) 0.586, 0.586, , ) Perform the indicated operation by hand. 59) A) B) C) D) ) 60) A) B) C) D) ) 61) A) 39.8 B) 38.8 C) 388 D) ) 62) A) 25 B) 14 C)2.5 D) 26 62) 63) A) B) 1.39 C) D) ) 64) A) B) C) D) ) 8

9 Write the fraction as a percent. 65) A) 92.5% B) 9.25% C) 74.00% D) 37.00% 65) 66) A) 62% B) 124% C) 620% D) 6.2% 66) 67) A) 2.60% B) 15.00% C) 26.0% D) 13.00% 67) Write the number in scientific notation. 68) 6,500,000 69) 625 A) B) C) D) A) B) C) D) ) A) B) C) D) ) 69) 70) Express the ratio in simplest form. 71) The ratio of wins to games played if a baseball team wins 35 games and loses 55 games A) 7 : 11 B) 11 : 7 C)11 : 18 D) 7 : 18 71) 72) 14 minutes to 5 hours A) 168 B) 14 : 60 C)7 : 150 D) 14 : 5 72) 73) 48 feet to 20 feet A) 5 : 12 B) 12 : 5 C)6 : 13 D) 13 : 6 73) 74) 20 cents to $6 A) 10 : 3 B) 6 : 200 C)1 : 3 D) 1 : 30 74) 75) days to 21 2 weeks 75) A) 11 : 5 B) 11 : 35 C)77 : 5 D) 5 : 2 76) The ratio of all members to women members in a club whose members are 14 men and 26 women A) 20 : 7 B) 20 : 13 C)13 : 7 D) 7 : 13 76) Write the percent as a decimal. 77) 56% A) 5.6 B) 0.56 C) D) ) 9

10 78) 35.5% A) B) 3.55 C) D) ) 79) 505% A) 50.5 B) 5.06 C) D) ) Find the percent of the figure that is shaded. 80) 80) A) 1.07% B) 10.7% C) 17% D) 107% 81) 81) A) 6.4% B) 60% C) 0.64% D) 64% 10

11 82) 82) A) 51% B) 25.1% C) 251% D) 2.51% The two triangles below are similar. Find the missing lengths. 83) 83) 5 A) x = 6.25; y = 8.75 B) x = 10; y = 16 C)x = 36; y = 50.4 D) x = 7.5; y = 10 84) 84) A) x = 45 B) x = 28 C)x = 36 D) x = 34 11

12 85) 85) A) x = 1.24; y = 3.6 B) x = 6.3; y = 3.6 C)x = 7.2; y = 3.9 D) x = 6.3; y = 3.9 Solve the proportion. 86) 2 5 = x ) A) 28 5 B) 12 5 C) 4 5 D) ) x 33 = ) A) 8 B) C)6 D) ) 5 x = 9 x ) A) 4 3 B) 2 C) 4 7 D) 10 Solve the problem. If the answer is an amount of money, round to the nearest dollar. 89) Maria has saved $420 at a bank. She wants to accumulate $1250 to attend computer camp. What percent of her goal has been reached? A) 33.6% B) 3% C) 0.336% D) 30% 89) 90) At a university, 60% of the students who apply are accepted. Of those who are accepted, 70% actually enroll. If 30,000 students apply, how many actually enroll? A) 29,870 students B) 28,700 students C) 17,400 students D) 12,600 students 90) 91) The parking lot at a grocery store has 50 cars in it. 46% of the cars are blue. How many cars are blue? A) 109 cars B) 11 cars C)23 cars D) 230 cars 91) 92) Which is the best investment for three consecutive years? a. A growth of 5% followed by a growth of 10% followed by a growth of 15% b. A growth of 15% followed by a growth of 10% followed by a growth of 5% c. Three years of growth at 10% per year. A) a B) b C)c D) They are all the same 93) A chemical solution contains 3% salt. How much salt is in 4.5 ml of solution? A) 1.35 ml B) 150 ml C)15 ml D) ml 92) 93) 12

13 Find the mixed number or rational fraction in lowest terms represented by the repeating decimal. 94) A) B) C) 74 9 D) ) 95) A) B) C) D) ) Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". 96) 3 4, 10 13, 8 11 A) 3 4, 8 11, B) 10 13, 8 11, 3 4 C) 8 11, 3 4, ) 97) - 2 3, ) A) , B) - 2 3, C) Equivalent Use a proportion to solve the problem. Round answers to the nearest tenth if necessary. 98) A label printer prints 5 pages of labels in 1.7 seconds. How long will it take to print 160 pages of labels? A) 57.4 sec B) 58.4 sec C)56.4 sec D) 54.4 sec 98) 99) In a sample of 70 widgets, 8 were defective. How many defective widgets would you expect in a sample of 350 widgets? A) 40 widgets B) 38 widgets C) 43 widgets D) 86 widgets 99) 100) On a map of the Thunderbird Country Club golf course, 2.5 inches equals 45 yards. How long is the 8th hole if the map shows 10.5 inches? A) yd B) yd C)10.7 yd D) 189 yd 100) 13

14 Answer Key Testname: 3161-UNIT-2-PRETEST 1) C Objective: (7.1) Re-express Ratios 2) C Objective: (7.1) Re-express Ratios 3) D Objective: (7.1) Re-express Ratios 4) A Objective: (7.1) Re-express Ratios 5) D Objective: (7.3) Convert Decimal to Percent 6) C Objective: (7.3) Convert Decimal to Percent 7) B Objective: (7.3) Convert Decimal to Percent 8) A Objective: (7.3) Solve Apps: Percent Increase or Decrease 9) C Objective: (7.3) Solve Apps: Percent Increase or Decrease 10) C Objective: (7.3) Solve Apps: Percent Increase or Decrease 11) A Objective: (7.1) Solve Apps: Unit Price 12) A 13) B Objective: (7.1) Solve Apps: Determine Best Buy 14) A Objective: (7.1) Solve Apps: Unit Price 15) A Objective: (7.1) Complete Table of Equivalent Ratios 16) A 17) B II 18) B Objective: (6.4) Solve Apps: Dividing Decimals 19) B Objective: (7.1) Complete Table of Equivalent Ratios 20) B Objective: (7.1) Solve Apps: Determine Best Buy 21) B Objective: (6.4) Solve Apps: Dividing Decimals 22) D Objective: (7.1) Solve Apps: Unit Price 23) D 24) D 25) D II 26) C Objective: (6.4) Solve Apps: Multiplying Decimals 27) C Objective: (6.4) Solve Apps: Multiplying Decimals 28) B Objective: (7.1) Solve Apps: Determine Best Buy 29) A 30) B Objective: (6.4) Solve Apps: Dividing Decimals 31) B II 32) C Objective: (6.4) Solve Apps: Multiplying Decimals 33) C 34) D 35) C 36) B 37) C 38) C 39) D 40) A 41) B Objective: (7.3) Estimate and Calculate Restaurant Tips 42) C Objective: (7.3) Estimate and Calculate Restaurant Tips 43) C Objective: (7.3) Estimate and Calculate Restaurant Tips 44) A Objective: (7.3) Estimate and Calculate Restaurant Tips 45) D Objective: (7.3) Estimate and Calculate Restaurant Tips 46) B Objective: (7.3) Estimate and Calculate Restaurant Tips 1

15 Answer Key Testname: 3161-UNIT-2-PRETEST 47) A Objective: (7.3) Convert Percent to Fraction 48) B Objective: (7.3) Convert Percent to Fraction 49) B Objective: (7.3) Convert Percent to Fraction 50) C Objective: (6.5) Convert Scientific Notation to Standard Notation 51) A Objective: (6.5) Convert Scientific Notation to Standard Notation 52) A Objective: (6.5) Convert Scientific Notation to Standard Notation 53) D Objective: (7.2) Solve Apps: Proportions II 54) D Objective: (7.2) Solve Apps: Proportions II 55) C Objective: (7.2) Solve Apps: Proportions II 56) B Objective: (6.5) Order Decimals and Fractions 57) B Objective: (6.5) Order Decimals and Fractions 58) B Objective: (6.5) Order Decimals and Fractions 59) C Objective: (6.4) Multiply Decimals 60) A Objective: (6.4) Add or Subtract Decimals 61) B Objective: (6.4) Divide Decimals 62) A Objective: (6.4) Divide Decimals 63) D Objective: (6.4) Add or Subtract Decimals 64) A Objective: (6.4) Multiply Decimals 65) A Objective: (7.3) Convert Fraction to Percent 66) A Objective: (7.3) Convert Fraction to Percent 67) C Objective: (7.3) Convert Fraction to Percent 68) A Objective: (6.5) Convert Standard Notation to Scientific Notation 2 69) C Objective: (6.5) Convert Standard Notation to Scientific Notation 70) D Objective: (6.5) Convert Standard Notation to Scientific Notation 71) D Objective: (7.1) Express Ratio in Simplest Form 72) C Objective: (7.1) Convert Units and Express Ratio in Simplest Form 73) B Objective: (7.1) Express Ratio in Simplest Form 74) D Objective: (7.1) Convert Units and Express Ratio in Simplest Form 75) B Objective: (7.1) Convert Units and Express Ratio in Simplest Form 76) B Objective: (7.1) Express Ratio in Simplest Form 77) B Objective: (7.3) Convert Percent to Decimal 78) A Objective: (7.3) Convert Percent to Decimal 79) D Objective: (7.3) Convert Percent to Decimal 80) D Objective: (7.3) Write Percent Represented by Shaded Area of Figure 81) D Objective: (7.3) Write Percent Represented by Shaded Area of Figure 82) C Objective: (7.3) Write Percent Represented by Shaded Area of Figure 83) A Objective: (7.2) Find Unknown Length(s) in Pair of Similar Triangles 84) C Objective: (7.2) Find Unknown Length(s) in Pair of Similar Triangles 85) B Objective: (7.2) Find Unknown Length(s) in Pair of Similar Triangles 86) A Objective: (7.2) Solve Proportion 87) C Objective: (7.2) Solve Proportion

16 Answer Key Testname: 3161-UNIT-2-PRETEST 88) D Objective: (7.2) Solve Proportion 89) A Objective: (7.3) Solve Apps: Miscellaneous Percent Apps 90) D Objective: (7.3) Solve Apps: Miscellaneous Percent Apps 91) C Objective: (7.3) Solve Apps: Miscellaneous Percent Apps 92) C Objective: (7.3) Solve Apps: Miscellaneous Percent Apps 93) D Objective: (7.3) Solve Apps: Miscellaneous Percent Apps 94) A Objective: (6.5) Convert Repeating Decimal to Fraction 95) C Objective: (6.5) Convert Repeating Decimal to Fraction 96) C Objective: (6.5) Order Rational Numbers 97) B Objective: (6.5) Order Rational Numbers 98) D Objective: (7.2) Solve Apps: Proportions I 99) A Objective: (7.2) Solve Apps: Proportions I 100) D Objective: (7.2) Solve Apps: Proportions I 3