2) 33 yards to 48 yards 2) 3) 49 cents to 6 dollars 3)

Transcription

1 M110 (PreAlgebra-Sp 2015) Exam (ch6&7) Name: Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form. 1) 25 to 60 1) 2) yards to 48 yards 2) ) 49 cents to 6 dollars ) Find the ratio described as a fraction in simplest form. 4) Find the ratio of the width to the perimeter of the rectangular dog run sketched below. 4) 5 meters (width) 12.5 meters (length) 5) According to an organization's membership list, it has 600 members who have children and 150 members who are childless. What is the ratio of members who have children to members who are childless? 5) Write the rate as a fraction in simplest form. 6) 96 miles in 48 minutes 6) 7) 215 hours for 15 projects 7) Fill in the table to calculate miles per gallon. 8) Beginning Odometer Reading Ending Odometer Reading Miles Driven Gallons of Gas Used 5,087 5, Miles Per Gallon (round to the nearest tenth) 8) Write the rate as a unit rate. 9) 585 miles on 15 gallons of gas 9) Provide an appropriate response. 10) Paul Saltwood can paint 121 doors in 8 hours, while Richard Kepler can paint 46 doors in 4 hours. Who can paint doors faster, Paul or Richard? 10) Write the sentence as a proportion. Then determine whether the proportion is a true proportion. 11) twelve hundredths is to three as twenty-eight hundredths is to seven 11) 1

2 Find the unit price and decide which is the better buy. Round to three decimal places. Assume that we are comparing different sizes of the same brand. 12) Shampoo: 12) $4.47 for 8 ounces $6.60 for 12 ounces Determine whether the proportion is true or false. 1) = ) 14) 9 21 = ) Solve the proportion for the given variable. Round the solution where indicated. 15) 28 4 = 42 x 15) 16).7 y = Round to the nearest tenth. 16) Solve. 17) The ratio of a quarterback's completed passes to attempted passes is 6 to 7. If he attempted 14 passes, find how many passes he completed. Round to the nearest whole number if necessary. 17) 18) On an architect's blueprint, 1 inch corresponds to 6 feet. Find the length of a wall represented by a line 4 1 inches long on the blueprint. Round to the nearest tenth if 18) necessary. 19) Yearly homeowner property taxes are figured at a rate of $1.55 tax for every $100 of home value. Find the property taxes on a house valued at $11, ) 2

3 Find the unknown length in the right triangle. If necessary, approximate the length to the nearest thousandth. 20) 20) 4 cm 6 cm? Sketch the right triangle and find the length of the side not given. If necessary, approximate the length to the nearest thousandth. 21) leg = 10, leg = 24 21) 22) leg = 11, hypotenuse = 15 22) Determine whether the pair of triangles is congruent. 2) 2) 9 km 5km 8 km 9 km 5 km 8 km 24) 24) yd yd Find the ratio of the corresponding sides of the given similar triangles. 25) 25)

4 Solve. 26) A fire fighter needs to estimate the height of a burning building. She estimates the length of her shadow to be 7 1 feet long and the length of the building's shadow to be 72 feet long. 2 26) Find the height of the building if the fire fighter is 5 feet tall. Given that the pair of triangles is similar, find the length of the side labeled n. Round your results to 1 decimal place, if necessary. 27) 27) n 4 Write the percent as a fraction or mixed number in simplest form. 28) 15 2 % 28) Solve. 29) Write the equivalent decimal and fraction for 16 2 %. 29) Write the decimal as a percent. 0) 2. 0) 1) ) Write the fraction or mixed number as a percent. 2) 5 6 2) ) ) Solve. 4) Write the equivalent decimal and percent for ) 5) Write the equivalent fraction and percent for ) 6) Write the equivalent decimal and percent for 1. 6) Translate to an equation and solve. 7) 75% of 216 is what number? 7) 4

5 8) What number is 16% of? 8) 9) 17 is 4% of what number? 9) 40) 10% of what number is 70? 40) 41) 78 is what percent of 60? 41) 42) 201. is 8 1 % of what number? 42) 4 4) What percent of 145 is 11.1? 4) 44) 0.% of what number is 4.8? 44) 45) 22,095 is 180% of what number? 45) Translate the question into a proportion. Do not solve. 46) 41% of 6.5 is what number? 46) 47) 16.1 is what percent of 75? 47) Translate to a proportion and solve. Round to the nearest hundredth, if necessary. 48) 16 is 4% of what number? 48) 49) What number is 82% of 142? 49) 50) 4.2 is what percent of 24.? 50) 51) 75% of 60 is what number? 51) Solve. Round to the nearest tenth, if necessary. 52) What number is 22.7% of 52,87? 52) 5) What percent of 118,7 is 86,54? 5) 54) 875 is 122% of what number? 54) Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 55) Lee is taking Kim out to dinner. He has $ to spend. He wants to tip the server 20% of 55) the cost of the meal. How much can he spend on the meal? 56) An inspector found 15 defective cameras during an inspection. If this is 0.00% of the total number of cameras inspected, how many cameras were inspected? 56) 5

6 57) One day 6 nurses were sick with the flu. If this were 0% of the total number of nurses, how many nurses were there altogether? 57) 58) Richard has $79.58 deducted from his monthly salary of $170 for a vacation savings plan. What percent of Richard's salary is withheld for the vacation savings plan? What percent of Richard's salary is not withheld for vacation savings plan? 58) 59) In an office building, 19 offices are currently being unrented. This represents 1% of the total units. How many offices are there in the building? 59) 60) The enrollment at a local college increased by 1% over last year's enrollment of 700. Find the current enrollment. 60) 61) The enrollment at a local college decreased by % over last year's enrollment of Find the current enrollment. 61) 62) Due to a lack of funding, the number of students enrolled at City College went from 7000 last year to 5000 this year. Find the percent decrease in enrollment. 62) 6) A company increased the number of its employees from 280 to 80. What was the percent increase in employees? 6) Solve. 64) A mirror has a purchase price of $26. If the sales tax on this purchase is $1.95, find the sales tax rate. 64) 65) A house sold for $28,000 and the real estate agent earned a commission of $9282. Find the commission rate. 65) 66) A house recently sold for $516,60. The commission rate on the sale is 6.5%. If a real estate agent is to receive 80% of the commission, find the amount received by the agent. 66) 67) Find the sale price when the original price is $279.0 and the discount rate is 10%. 67) 68) A $200 table is on sale at 20% off. Find the discount. 68) 69) Find the original price when the discount rate is 65% and the amount of discount is $ ) 70) Find the simple interest when: Principal = $80, Rate = 4%, Time = 9 years. 70) 71) Corrin borrows $600 and agrees to pay it back in 6 years. If the simple interest rate is %, find the total amount she pays back. 71) Find the total amount in the compound interest account. 72) $12,000 at 4% compounded annually for 5 years 72) 7) $1700 at 8% compounded quarterly for 4 years 7) 6

7 74) $5000 at 4.7% compounded semiannually for 9 years. 74) 7

8 Answer Key Testname: EXAMPRAC 1) ) ) ) 1 7 5) 4 9 6) 7) 2 mi 1 min 4 hr projects 8) miles driven: 802; miles per gallon: ) 9 mi/gal 10) Paul 11) ) 12 oz 1) True 14) False 15) 6 16) ) 12 passes 18) 26 ft 19) $ ) cm 21) 26 22) ) congruent 24) congruent 25) ) 48 ft 27) ) 00 = ; true 29) 0.16; 1 6 0) 20% 1) 62% 2) 8 1 % ) 580% 4) 0.21; 21% 8

9 Answer Key Testname: EXAMPRAC 5) 250 ; 1.2% 6) 0.; 1 % 7) 162 8) ) ) ) 10% 42) ) 78% 44) ) 12,275 a 46) 6.5 = ) = p ) ) ) 17.28% 51) 45 52) 11, ) 72.9% 54) ) $ ) 500,000 cameras 57) 20 nurses 58) 4.6%; 95.4% 59) 1900 offices 60) 791 students 61) 1940 students 62) 28.6% 6) 5.7% 64) 7.5% 65).9% 66) $26, ) $ ) $ ) $ ) $ ) $ ) $14, ) $ ) $