PART I: NO CALCULATOR (200 points)

Transcription

1 Prealgebra Practice Final Math 0 OER (Ch. -) PART I: NO CALCULATOR (00 points) (.). Find all divisors of the following numbers. a) b) 7 c) (.). Find the prime factorization of the following numbers. a) b) 7 c) (.,.,.). Simplify. a) b) c) d) e) 9 f) 9 g) 7. Simplify. a) h) 7 b) c) d) e) 7 f) 7 g) 7 7 h) 0 (.,.,.7). Simplify the given expressions. a) b) c) 9 d) 9 e) f) (.). Evaluate the following expression at the given values of x and y. x xy at x and y (.) 7. a) Use 9 F C to convert C to Fahrenheit. to convert F to Celsius. 9 b) Use C F

2 (.,.). Simplify. x a) b) x c) y y y d) y y y (.,.,.) 9. Perform the indicated operations. a) b) c) 7 9 d) e) 7 f f f) f 7 f g) 7 w w h) 7 w (.). For : a) First round each mixed number to estimate the answer. Clearly state the numbers you used to obtain the estimate. Estimate: b) Then find the actual answer. Actual:. For : a) First round each mixed number to estimate the answer. Clearly state the numbers you used to obtain the estimate. Estimate: b) Then find the actual answer. Actual: (.). For 9 : a) First round each mixed number to estimate the answer. Clearly state the numbers you used to obtain the estimate. Estimate: b) Then find the actual answer. Actual:. For 9 : a) First round each mixed number to estimate the answer. Clearly state the numbers you used to obtain the estimate. Estimate: b) Then find the actual answer. Actual:

3 (.). Convert the given decimals to fractions. Reduce your answer to lowest terms if possible. a) 0. b) 0.07 c) 0. d) 0.0 (.,.). Perform the indicated operations. a) 7.9 b) 7.9 c)..7 d)..7 e). 0.0 f). 0.0 g) 0.0. h) (.). Compute the following quotient. Round your answer to the nearest hundredth. You must show all work for credit. a) b) (.,.) 7. Multiply or divide, as indicated, by the given power of ten. a) 0. b).. c). 0 d) e) 00 f) 0. g). h) PART II: YOU MAY USE A CALCULATOR (00 points) (.,.7,.,.,.,.) Solve.. x. x. x..x x.. 9 x 7. 9x x..x. 0.7x. x x 9. x x 0 x. x x. 9. x x

4 (.,.,.) Use the Five Step Word Problem Method to solve.. decreased by three times a number is. Find the number. ) equation: ) state answer in a complete sentence: ) check: Does the answer makes sense?. less than three times a number is. Find the number. ) equation: ) state answer in a complete sentence: ) check: Does the answer makes sense?. The width and length of a rectangle are consecutive integers. If the perimeter is inches, find the width and length of the rectangle. ) equation: ) state answer in a complete sentence: ) check: Does the answer makes sense? Did you include the appropriate units?

5 (.,.,.) Use the Five Step Word Problem Method to solve.. The width and length of a rectangle are consecutive odd integers. If the perimeter is inches, find the width and length of the rectangle. ) equation: ) state answer in a complete sentence: ) check: Does the answer makes sense? Did you include the appropriate units? 7. The width of a rectangle is three feet less than the length. If the perimeter is feet, find the width and length of the rectangle. ) equation: ) state answer in a complete sentence: ) check: Does the answer makes sense? Did you include the appropriate units? (.). About out of students entering Cerritos College need to take a refresher math course. At this rate, how many of the, students at Cerritos College will probably need a refresher math course? ) equation: ) state answer in a complete sentence: ) check: Does the answer makes sense? Did you include the appropriate units?

6 (.) Use the Five Step Word Problem Method to solve. 9. Suppose your car can travel miles on 7. gallons of gas. How far can it travel on a full tank of gallons of gas? ) equation: ) state answer in a complete sentence: ) check: Does the answer makes sense? Did you include the appropriate units? 0. It is recommended to order pounds of fruit salad for 0 party guests. At this rate, how much fruit salad should be ordered for a party with 7 guests? ) equation: ) state answer in a complete sentence: ) check: Does the answer makes sense? Did you include the appropriate units? (.). Write the following ratio as a fraction in lowest terms. a) to b) to 9. Calculate the cost per unit for the following. a) -pack of AAA batteries for $.99 b) ounces of shampoo for $9.9 **See USEFUL RELATIONSHIPS Reference Sheet (from Chapter ) to help with problems -9.**

7 Use unit fractions to perform each conversion for problems -. (.). How many pounds does a 0-kilogram alligator weigh?. Find the weight, in kilograms, of a 0-pound person. (.). Convert 7 inches to yards.. Convert 7. years to hours. 7. A pool pumps. gallons per hour. How many quarts per minute is this?. The speed limit on the freeway is miles per hour. How fast is this in feet per minute? (.) 9. Use any method to perform each conversion. a) Convert dm to km. b) Convert,00 L to kl. c) Convert 9 mm to cm. d) Convert 7. L to ml. e) Convert.7 dag to dg. f) Convert. hg to g. (.7) 0. Use your calculator to find the approximation of the square root to the nearest tenth. a) b) 9 (7.). Solve each of the problems involving percent. You must show work for credit! a) is % of what number? b) 7. is what percent of? c) What number is.% of 0? (7.). Sandra earns a commission on all sales she makes. She sells a faucet for $9 and earns a commission of $. Find the percent commission, rounded to the nearest tenth of a percent.. A certain county charges.% sales tax on all sales. If Alex wants to buy a dumbbell set for $70, how much sales tax will Alex have to pay? 7

8 (7.). A drum set is marked at $79. However, a sign in the shop indicates that the drum set is being discounted at 0%. What will be the new selling price of the drum set?. The city of Los Angeles is expected to lower fines for parking tickets from $ to $. Find the percent of decrease, rounded to the nearest tenth of a percent. (7.). Suppose that $,00 is invested at.% interest compounded quarterly. r Use A P n nt to find the balance after years. 7. Suppose that $,00 is invested at.% interest compounded monthly. r Use A P n nt to find the balance after years. (.). Use the graph below to identify the coordinates of the given points. A E B F y D x 0 C A B C D E F

9 (.) Graph the linear equation by completing the table of values. 9. y x x y (x, y) 0 y x 0 0. y x x y (x, y) y 0 0 x Part I Answers: ) a),,,,,,,,,, 0,, 0, 0, 0, b),,,,,, 9,,,,, 7 c),,,,,, 9 ) a) b) c) or or or

10 ) a) b) c) d) 7 e) 7 f) 7 g) h) ) a) b) c) d) 0 e) 9 f) 9 g) h) ) a) 7 b) 0 c) d) 9 e) f) ) 7) a) F b) 0 C ) a) x b) x c) y y d) y 9) a) or 7 b) 9 c) 0 d) e) f f) f g) w ) a) Estimate: 9 7 b) Actual: h) 7 w ) a) Estimate: 9 b) Actual: ) a).9 b).0 c) 0.7 d).7 e) 0.0 f).0 g) 0.0 h) 0.00 ) a) Estimate: b) Actual: ) a).9 b) 0. ) a) Estimate: 9 9 b) Actual: 7 7 7) a) b). c) d) e) 0. f),0,000 g). h) 0.00 ) a) 7 b) 0 7 c) 0 9 d) 0

11 Part II Answers: ) ). ) ) ) 7) 7 ) or ). 9) ) or ) define variable: n = the number equation: n solve: n state answer: The number is. ) define variable: w = the width w w equation: solve: w 79 state answer: The width is 79 in. and the length is 0 in. Included appropriate units. 7) define variable: l = the length l l equation: solve: l state answer: The width is ft and the length is 9 ft. Included appropriate units. 9) define variable: x = the number of miles that the car can travel on gallons of gas equation: x 7. solve: x 7. state answer: The car can travel about miles on a full tank of gas.. Included appropriate units. ) ) 0 ) define variable: n = the number equation: n solve: n state answer: The number is. ) define variable: w = the width w w equation: solve: w state answer: The width is in. and the length is in. Included appropriate units. ) define variable: x = the number of students that will probably need a refresher math course x equation: solve: x. state answer: About, students will probably need a referesher math course. Included appropriate units. 0) define variable: x = how much fruit salad should be ordered for 7 guests equation: x 0 7 state answer: solve: x pounds of fruit salad should be ordered for 7 guests. Answered what problem asked for. Included appropriate units.

12 ) a) 0 b) ) 0. yds 9) a) 0.0 km b). kl c).9 cm d) 700 ml e) 7 dg f) 0 g ) $.7 ) a) $0.77 per battery $0.7 per battery b) $0.9 per ounce $0.9 per ounce ),700 hrs or, hrs (either answer us correct; it depends on which conversion factor was used) 0) a) 9. b) 0. ) $.0 ) lbs or. lbs (either answer us correct; it depends on which conversion factor was used) 7) 0. qts min ) a). or b) 0% c).9 ).7% ) kg or 9.09 kg (either answer us correct; it depends on which conversion factor was used) ) 70 ft min ).% ) $0. 7) $.0 ) A 9,, 7 B C 9, D E F,, 0 0, 9), 0,, y x 0 0), 7 0,, y x 0