Arizona Western College Prealgebra Final Exam Review. Name Class Time. Show your work for full credit.

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1 Arizona Western College Prealgebra Final Exam Review Name Class Time Show your work for full credit. Write in expanded notation. 1) ) Provide an appropriate response. 2) The total population of a small town is Round this population figure to the nearest thousand. 2) Use the commutative and/or associative property of addition and then simplify. 3) 4 + (5 + x) 3) Add. 4) 13, ) Subtract. 5) ) Find the perimeter of the figure made of rectangles. 6) 2 ft 6) 8 ft 10 ft 12 ft Multiply. 7) (364)(778) 7) 1

2 Divide. 8) ) Translate using numbers and symbols. 9) Eight subtracted from a number 9) 10) The product of three and a number 10) Combine like terms. 11) 8xy + 2y + 5xy ) Use the distributive property to simplify. 12) 3(y + 6) ) Evaluate. 13) a2-16 b if a = 5 and b = 1 13) 14) ) Write in exponent form. 15) n n n n 15) Evaluate. 16) ) 2

3 17) (3-2) ) Solve the equation. 18) 6 + x = 12 18) 19) x 8 = 6 19) 20) x + 3x = 36 20) 21) 2 + (b + 4) = 13 21) 22) A yogurt shop offers three flavors of frozen yogurt and five kinds of toppings. How many different choices are possible for a single serving of frozen yogurt with one topping? 22) 23) The Pan family took a trip and traveled 165, 549, 839, 698, and 660 miles on 5 consecutive days. Round each distance to the nearest hundred and estimate the distance they traveled. 23) Replace the? with the symbol <, >, or =. 24) -375? ) 25) 3? ) Replace the? with the appropriate symbol, + or -, to describe an increase or a decrease. 26) The Dow Jones Industrial Average falls 22 points.? 22 points. 26) Perform the operations indicated. 27) ) 28) 9 + (-12) 28) Translate into an equation, and then solve the equation. 29) What number divided by six equals three? 29) Perform the operations indicated. 30) (-10) 30) 3

4 31) (-4) + (-9) 31) 32) (9)(-8) 32) 33) (-3)(-7)(-1)(6) 33) Evaluate. 34) (-8) 2 34) 35) ) Divide. 36) -20 (-5) 36) Perform the operations indicated. 37) (-22) + (-21) 37) Simplify. 38) 2x + 3xy - 2y - 5x - 4y 38) 39) -6(x - 4) 39) 40) Use the formula s = v - 32t to find the speed (s) of a free-falling skydiver at t = 2 seconds if her initial downward velocity (v) is -7 feet per second. 40) Divide. 41) ) Simplify. 42) (-3) ) Evaluate. 43) 4x - y2-5 for x = -1 and y = -4 43) 44) Last night the temperature dropped to -8 F. At dawn the temperature had risen 25 F. Write the math symbols that represent the situation. At dawn, what was the temperature? 44) Solve the equation and check your solution. 45) y - 8 = 19 45) 4

5 46) = a ) 47) -50 = -4x - 6x 47) 48) 3(7x) = ) Express as a product of prime factors. 49) ) 50) There are 96 teachers at a school and 49 are men. What fraction of the teachers are men? 50) Change to a mixed number or a whole number. 51) ) Change to an improper fraction. 52) ) 53) Find which is the better buy (lower cost per ounce) by finding each unit price rounded to three decimal places if necessary. Assume that different sizes of the same brand are being compared. Crackers: $0.80 for 14.0 ounces $1.82 for 19.0 ounces 53) Find an equivalent fraction with the given denominator. 5 54) 12 =? 36 54) Translate the statement into a proportion. 55) If 3 inches on a map represents 20 kilometers, 9 inches represents 60 kilometers. 55) Solve using proportions. 56) Determine if 3 27? = 4 is a proportion. 56) 45 57) Find the value of x. 2 9 = 7 x 57) 58) The ratio of a basketball player's completed free throws to attempted free throws is 6 to 7. If she completed 24 free throws, find how many free throws she attempted. Round to the nearest whole number if necessary. 58) 5

6 Perform the operation indicated. 59) ) 60) ) 61) ) 62) ) 63) ) 64) 5 y = 20 64) 9 65) x 2 = -4 65) Perform the operation indicated. 66) (-16) ) 67) ) 68) Jody is using a recipe that calls for 3 8 cup of milk per batch. If she has available, how many batches can she make? cups of milk 68) 69) 4(3x) = ) 70) 3x x = -8 70) 71) 3x = ) 72) 6x + 7 = 61 72) 73) 75 = 5-10y 73) 6

7 74) 2x = 8x ) Write as a fraction. 75) ) Write as a decimal ) ) Replace the? with < or >. 77) 0.48? ) Evaluate. 78) x for x = ) Combine like terms. 79) 19.1x y x y 79) Perform the operation indicated. 80) ) 81) ) 82) ) 83) (-9.6) - (-6.4) 83) 84) (7.22)(8.7) 84) 85) ) Provide an appropriate response. 86) Write 4 15 as a decimal. 86) 87) 0.3x + 0.1x = ) Provide an appropriate response. 88) Round to the nearest hundredth. 88) Evaluate. 89) x for x = ) 7

8 State as a percent. 90) 38 out of 100 computer chips are defective. 90) Provide an appropriate response. 91) Write the equivalent decimal and percent for ) 92) Write the equivalent fraction and percent for ) 93) Write the equivalent fraction and decimal for 20%. 93) 94) 72 is 45% of what number? 94) 95) 0.2 is what percent of 20? 95) 96) What is 89% of 115? 96) Convert the following. 97) 80 ounces to pounds 97) 98) 7 yards to inches 98) 99) 278 grams to kilograms 99) 100) 3.38 centimeters to millimeters 100) 101) Bill purchased kilograms of chocolate, how many grams did he purchase? 101) 8

9 Find the circumference of the circle. Use = 3.14 and round your answer to the nearest hundredth. 102) Diameter = 69 units 102) 103) Radius = 104 units 103) Find the area of the circle. Use = 3.14 and round your answer to the nearest tenth. 104) Diameter = 6 mi 104) 105) Radius = 13 cm 105) Solve the problem. 106) Use the formula P = 2L + 2W to find the perimeter of a rectangle with L = 25 feet and W = 2 feet. 106) 107) Use the formula A= bh 2 whose height is 12 centimeters. to find the area of a triangle whose base is 8 centimeters and 107) 108) Use the formula P = 4s to find the perimeter of a square with side length 2 centimeters. 108) Find the volume. Round results to the nearest tenth if necessary. 109) A cylinder with radius 4.5 yd and height 7 yd 109) 110) Find the volume of the rectangular solid with the following dimensions. Length = 4 inches, width = 9 inches, height = 8 inches 110) 9

10 Answer Key Testname: MATH71FINALEXAMREVIEWFALL2017 1) ) ) x + 9 4) 14,799 5) 557 6) 44 ft 7) 283,192 8) 56 9) n ) 3n 11) 13xy + 2y ) 3y ) 9 14) 65 15) 4 5 n 4 16) 52 17) 35 18) x = 6 19) x = 48 20) x = 9 21) b = 7 22) 15 23) 2900 miles 24) < 25) < 26) - 27) -3 28) -3 29) x 6 = 3; 18 30) ) 1 32) ) ) 64 35) ) 4 37) ) -3x - 6y + 3xy 39) -6x ) -71 ft/sec 41) -9 42) ) 4 44) -8 F + 25 F = 17 F 45) y = 27 46) a = ) x = 5 48) x = )

11 Answer Key Testname: MATH71FINALEXAMREVIEWFALL ) ) ) ) $0.80 for 14.0 ounces 54) ) 56) No 3 in. 20 km = 9 in. 60 km 57) ) 28 free throws 59) ) ) ) ) ) y = 36 65) x = -8 66) ) ) 19 batches 69) x = -3 70) x = 8 71) x = -9 72) x = 9 73) y = -7 74) x = ) ) ) > 78) ) 8.5x - 6.2y 80) ) ) )

12 Answer Key Testname: MATH71FINALEXAMREVIEWFALL ) ) ) ) 8 88) ) ) 38% 91) 0.028; 2.8% 92) 2 5 ; 40% 93) 1 5 ; 20% 94) ) 1% 96) ) 5 lb 98) 252 in. 99) kg 100) 33.8 mm 101) 40.8 g 102) units 103) units 104) 28.3 mi 2 105) cm 2 106) ) 48 cm 2 108) 8 109) yd 3 110)