Translate the problem to an equation. Do not solve. 1) Anita drives her car at 63 mph. How long did she drive to cover a distance of 246 miles?

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1 Chapter 1 practice This is an aid to help you review the chapter 1 material. Disclaimer: The actual test is different. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Translate the problem to an equation. Do not solve. 1) Anita drives her car at 63 mph. How long did she drive to cover a distance of 246 miles? 1) 2) Four times a number increased by 4 divided by 2 is 2. 2) 3) 3 times a number equals 2 less than 4 times the number. 3) 4) - 4 of a number plus 6 equals 2. 4) Simplify. 5) ) 6) (-1) (-13) 6) 7) 3 (5 + 3)2-3 (5-3)2 7) 8) ) 9) 2x3 + x - 3(x + 4x3) 9) 10) (-4)2 10) 11) (-30) 11) 12) 26 + (-18)(-3) + (-2) 12) 13) ) 14) x - (4x + 2) 14) 15) (-2x)4 15) 16) ) 17) 2[-7 + 4(-2 + 4)] 17) 1

2 18) 2m2-3mn + 4n2-3(6m2 + 5mn - 7n2) 18) 19) ) 20) ) 21) 9x - (4x - 5) - (-8x + 1) 21) 22) (-8-5)[2 + (8 + 7)] 22) 23) 3x x ) Translate to an algebraic expression. 24) Leanne had $16 remaining after paying y dollars for a dinner and a movie. How much did she have at the start of the evening? 24) 25) Alex had x dollars before spending $14.50 for a book. How much did he have after the purchase? 25) 26) 4 less than 6 times a number 26) 27) 2 less than 4 times a number 27) Evaluate. 28) 10-5x, for x = -6 28) 29) (-x)2-2x, for x = -4 29) 30) x + 9, for x = 4 30) 31) 24 3y, for y = 4 31) 32) 16 - t, for t = 12 32) 33) m - n 5, for m = 16 and n = 11 33) 34) x + y 6, for x = 10 and y = 14 34) 35) 6p q, for p = 15 and q = 18 35) 36) 14 - t, for t = 4 36) 2

3 37) x + y, for x = 15 and y = 12 37) 3 38) -7 x(x + 15)2, for x = -2 38) 39) 3x, for x = 4 39) Graph the irrational number on a number line. 40) ) Solve the problem. 41) A football team gained 11 yards on one play, lost 12 yards on another, and gained 18 yards on the last play of the first half. They had already gained 258 yards during the half. What was the total yardage gain for the first half? 41) 42) A train must cover a distance of 2700 miles. The velocity, in miles per hour, of the train is 2700 where t is the time, in hours, to complete the trip. If the train completes the trip in t 25 hours, what is its velocity? 42) 43) The area of a triangle with base b and height h is given by the formula A = 1 bh. Find 2 43) the area of a triangle when the base is 8.9 cm and the height is 5.3 cm. Round your answer to the nearest hundredth. 44) Mary earns three times as much per week as Maureen. If x represents the amount that Maureen earns per week, then 3x represents the amount that Mary earns per week. How much does Mary earn per week if Maureen earns $348 per week? 44) 45) The area of a rectangle of length l and width w is given by the formula A = lw. Ann's backyard is rectangular with a length of 33.6 yards and a width of 18.3 yards. Find the area of Ann's backyard. 45) Classify as an expression or an equation. 46) 5x ) 47) 6x - 1 = 4 47) 48) 3-3xy 48) Find the absolute value. 49) ) 3

4 50) ) 51) ) Perform the indicated operation and, if possible, simplify. 52) ) 53) ) 54) ) 55) ) 56) ) 57) ) 58) ) 59) ) 60) ) 61) ) 62) 40x y z 15 62) 63) ) 4

5 64) ) 65) ) 66) ) 67) ) 68) ) Determine whether each statement is true or false. 69) Every whole number is a real number. 69) 70) Every integer is an irrational number. 70) 71) Some real numbers are integers. 71) Find the perimeter of the figure. 72) 4a 72) 5 6 7a Classify the number as prime, composite, or neither. 73) 6 73) 74) 9 74) 75) 41 75) Divide, if possible. If the quotient is undefined, then state this. 76) ) 5

6 77) ) 78) ) Add. 79) (-14) ) 80) ) 81) (-11.4) 81) Use the distributive law to multiply. 82) (y + 2)6 82) 83) (5n + m + 8)7 83) 84) 8(3x + 9y + 2) 84) 85) 3(a + b) 85) Name the correct property to make the sentence true. 86) (7m)g is equivalent to 7(mg) by the 86) 87) 5(z + m) is equivalent to 5z + 5m by the 87) 88) 9p is equivalent to p9 by the 88) Find the opposite, or additive inverse. 89) ) Subtract. 90) (-10) 90) 91) ) 92) 15 - (-6) 92) 93) ) Find all the factors of the number. 94) ) 6

7 95) ) 96) 27 96) Use <, >, or = to make a true sentence. 97) ) 98) ) Find the following. 99) Find -x when x = ) 100) Find -(-x) when x = ) Use the distributive law to factor the given expression. 101) 30a + 5b 101) 102) 7m + 49n ) 103) w + 18y 103) 104) z 104) Find the prime factorization of the number. If the number is prime, state this. 105) ) 106) ) 107) ) Write a true sentence using either < or >. 108) ) 109) ) 110) ) List the terms of the expression. 111) 5x + k + 8p r 111) Use the commutative and associative laws to write at least two equivalent expressions. 112) f + (r + 50) 112) 7

8 Find decimal notation. 113) ) 114) ) 115) ) Graph the rational number on a number line. 116) ) List the factors in each expression. 117) 3y 117) 118) (8 - z)(r + p) 118) Translate the phrase to mathematical language and simplify. 119) Subtract -5 from ) Write an equivalent expression without using parentheses. 120) -(-10x + 13y - 17z) 120) Find the reciprocal, if it exists. 121) ) Combine like terms. 122) -(-5m) (-2n) 122) 123) -7y + (-2y) 123) 124) 4m (-2n) 124) Multiply. 125) (0.05)(6.43) 125) 126) ) 8

9 Decide if the given number is a solution to the given equation. 127) 7m + 6 = 71; 9 127) 128) p - 12 = 3; ) 129) 5m + 8 = 50; 8 129) Tell which real number corresponds to the situation. 130) Sales at Andrea's Formal Wear Shop were $2753 less this week than the sales last week. 130) 9

10 Answer Key Testname: 115CH1P 1) x = ) 4x = 2 3) 3x = 4x - 2 4) - 4x + 6 = 2 5) ) -9 7) 180 8) ) -10x3-2x 10) ) ) 78 13) ) -3x ) 16x4 16) ) 2 18) -16m2-18mn + 25n2 19) ) 36 21) 13x ) ) 66x ) 16 + y 25) x - $ ) 6x ) 4x ) 40 29) 24 30) 13 31) 2 32) 4 33) 1 34) 4 35) 5 36) 10 37) 9 10

11 Answer Key Testname: 115CH1P 38) ) 12 40) ) 275 yards 42) 108 miles per hour 43) cm2 44) $ ) square yards 46) Expression 47) Equation 48) Expression 49) ) ) ) ) ) ) ) 2 57) ) ) ) 0 61) ) 8xz 3y 63) )

12 Answer Key Testname: 115CH1P 65) ) ) ) ) True 70) False 71) True 72) 11a ) Composite 74) Composite 75) Prime 76) Undefined 77) -7 78) -8 79) ) ) ) 6y ) 35n + 7m ) 24x + 72y ) 3a + 3b 86) associative property for multiplication. 87) distributive law. 88) commutative law for multiplication. 89) ) -2 91) ) 21 93) ) 1, 2, 4, 13, 26, 52, 169, 338, ) 1, 5, 25, ) 1, 3, 9, 27 97) < 98) > 99) ) ) 5(6a + b) 102) 7(m + 7n + 3) 12

13 Answer Key Testname: 115CH1P 103) 2(5 + w + 9y) 104) 13(1 + z) 105) ) ) ) -3.7 < ) 1 > ) -89 < ) 5x, k, 8p r 112) Answers may vary. Responses should include expressions such as (f + r) + 50, f + (50 + r), and (r + 50) + f. 113) ) ) ) ) 3, y 118) (8 - z), (r + p) 119) ; ) 10x - 13y + 17z 121) ) 5m + (-2n) ) -9y 124) 4m - 2n ) ) ) No 128) Yes 129) No 130)