exam - test bank and solution manual cafe€¦ · exam name_____ multiple choice. choose the one...

Exam

Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers thequestion.

Write the English phrase as an algebraic expression. Let x represent the number.1) 1)The sum of a number and 133

A) 133 + x B) 133x C) 133 D) 133 - x

2) 2)80 less than a numberA) 80 B) 80x C) x + 80 D) 80 - x

3) 3)A number decreased by 36A) 36x B) 36 C) x - 36 D) 36 - x

4) 4)6 times a number

A) 6x B) 6x

C) 6 - x D) 6 + x

5) 5)The product of 7 and a number

A) 7x B) 7 - x C) 7 + x D) 7x

6) 6)7 less than 6 times a numberA) 7 - 6x B) 7x - 6 C) 6 - 7x D) 6x - 7

7) 7)3 more than 7 times a numberA) 10x B) 3x + 7 C) 7(3 + x) D) 7x + 3

8) 8)A number divided by 62

A) 62x B) x62

C) x - 62 D) 62x

9) 9)The quotient of 70 and a number

A) 70x

B) x - 70 C) x70

D) 70 - x

Evaluate the expression for the given values.10) 10)3x + 2, for x = 8

A) 5 B) 26 C) 22 D) 48

11) 11)5x - y, for x = 5 and y = 9A) 34 B) 50 C) 16 D) 14

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12) 9x2 + 7y, for x = 5, y = 10 12)A) 2095 B) 2880 C) 935 D) 295

13) (x + 3y)2 , for x = 3, y = 3 13)A) 36 B) 144 C) 12 D) 24

Solve.14) 14)If a rock falls from a height of 80 meters above the ground, the height H (in meters) after x seconds

is approximately H = 80 - 4.9x2. What is the height of the rock after 3 seconds? (Round youranswer to the nearest tenth.)

A) 35.9 m B) 65.3 m C) 675.9 m D) -136.09 m

15) 15)Forensic scientists use the lengths of certain bones to calculate the height of a person. When thefemur (the bone from the knee to the hip socket) is used, the following formula applies for men:h = 69.09 + 2.24f, where h is the height and f is the length of the femur (both in centimeters). Findthe height of a man with a femur measuring 57 centimeters.

A) 196.77 cm B) 126.09 cm C) 5.40 cm D) 4065.81 cm

16) The formula C = 59

(F - 32) converts Fahrenheit to Celsius degrees. The high temperature in a

certain city was 50°F. Find the corresponding Celsius temperature (to the nearest degree).

16)

A) 32°C B) 10°C C) -4°C D) 28°C

Determine whether the statement is true or false.17) 17)Every rational number is a whole number.

A) True B) False

18) 18)Some real numbers are natural numbers.A) True B) False

19) 19)Every whole number is a natural number.A) True B) False

20) 20)All rational numbers are real numbers.A) True B) False

21) 21)Some natural numbers are not whole numbers.A) True B) False

22) 22)Some whole numbers are not natural numbers.A) True B) False

23) 23)Some square roots are not irrational.A) True B) False

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24) 24)Every real number is either rational or irrational.A) True B) False

25) 25)Every real number is either an integer or irrational.A) True B) False

26) 26)All whole numbers are positive.A) True B) False

27) 27)Some integers are not positive.A) True B) False

Use the roster method to list the elements in the set.28) 28){x | x is a whole number between 5 and 9}

A) {6, 7, 8} B) {6, 7, 8, 9} C) {5, 6, 7, 8} D) {5, 6, 7, 8, 9}

29) 29){x | x is an integer between 4 and 8}A) {5, 6, 7} B) {4, 5, 6, 7, 8} C) {5, 6, 7, 8} D) {4, 5, 6, 7}

30) 30){x | x is an integer greater than -7}A) {-8, -9, -10} B) {-6, -5, -4, . . .}C) {-6, -5, -4, -3} D) {-8, -9, -10, . . .}

31) 31){x | x is a natural number multiple of 2}A) {4, 6, 8, . . .} B) {-6, -4, -2, 0, 2, 4, 6,. . .}C) {0, 2, 4, 6,. . .} D) {2, 4, 6, . . .}

32) 32){x x is a natural number less than 6}A) {0, 1, 2, 3, 4, 5, 6} B) {0, 1, 2, 3, 4, 5}C) {1, 2, 3, 4, 5, 6} D) {1, 2, 3, 4, 5}

Use the meaning of the symbols and to determine whether the statement is true or false.33) 33)1 { x | x is an integer}

A) True B) False

34) 34)-18 { x | x is a rational number}A) True B) False

35) 7 { x | x is a rational number} 35)A) True B) False

36) 36)0 { x | x is an irrational number}A) True B) False

3



37) 37)2 { x | x is an irrational number}A) True B) False

38) 38)-5 { x | x is a natural number}A) True B) False

39) 5 { x | x is an irrational number} 39)A) True B) False

40) 69

{ x | x is an irrational number} 40)

A) True B) False

41) 1013

{ x | x is a rational number} 41)

A) True B) False

42) 42)-2 { x | x is a whole number}A) True B) False

43) 7 { x | x is a real number} 43)A) True B) False

By definition, an "and" statement is true only when the statements before and after the "and" connective are both true.Use this definition to determine whether the given statement is true or false.

44) 44)16 {1, 2, 3, ....} and {1} {1, 2, 3, 4}A) True B) False

45) 45)3 {1, 2, 3,.....} and -4 {1, 2, 3,....}A) True B) False

46) 1282

+1782

{x x is a whole number} and the value of 29x2(x + 82) - 29x2(82 + x), for x = 100 is 0. 46)

A) True B) False

47) 914

-2314

{x x is an integer} and the value of 5x2(x + 9) - 5(x + 9)x2, for x = 100 is 0. 47)

A) True B) False

48) 48)-2000 {x x is an integer} and ten subtracted from twice a number is represented by 2x - 10.A) True B) False

4



49) 49)-40,000 {x x is a whole number} and twelve less than four times a number is represented by4x - 12.

A) True B) False

50) 50)Twice the difference of a number and eleven is represented by 2x - 11 and {x x is an irrational number}A) True B) False

51) 51)Three times the sum of a number and seven is represented by 3(x + 7) and0 {x x is a natural number}

A) True B) False

52) 52)Four times the sum of a number and five is represented by 4(x + 5) and413

{x x is a rational number}

A) True B) False

53) The quotient of a number and the sum of the number and 2 is represented by xx+ 2

and

3 {x x is a rational number}

53)

A) True B) False

Determine whether the inequality is true or false.54) 54)-4 < 0

A) True B) False

55) 55)5 > 21A) True B) False

56) 56)5 < -3A) True B) False

57) 57)13 > 3A) True B) False

58) 58)25 18A) True B) False

59) 59)10 3A) True B) False

60) 60)-5 6A) True B) False

5



61) 61)-22 25A) True B) False

62) 62)-7 < -11A) True B) False

63) 63)-13 -13A) True B) False

64) 64)-9 9A) True B) False

65) -9 <97

65)

A) True B) False

By definition, an "and" statement is true only when the statements before and after the "and" connective are both true.Use this definition to determine whether the given statement is true or false.

66) 0.9 > 0.9 and 14 5 + 9 66)A) True B) False

67) -0.9 > -0.9 and -18 9 + 9 67)A) True B) False

68) -0.4 -0.4 and 7 · 4 > 7 + 4 68)A) True B) False

69) {x x is a whole number between 2 and 5} = {3, 4} and 2 < 2 69)A) True B) False

70) {x x is a natural number between 2 and 5} = {2, 3, 4, 5} and - 3 > -3 70)A) True B) False

71) 71){x x is an integer between -3 and 2} = {-2, -1, 0, 1} and - < -3A) True B) False

72) {x x is an integer between -4 and 1} = {-4, -3, -2, -1, 0, 1} and -2.3 -2

72)

A) True B) False

6



Express the interval in set builder notation and graph the interval on a number line.73) 73)(-3, 4]

A) {x -3 < x < 4 } B) {x x 4 }

C) {x -3 < x 4 } D) {x -3 x 4 }

74) 74)[-4, 8)

A) {x x < 8 } B) {x -4 < x 8 }

C) {x -4 x 8 } D) {x -4 x < 8 }

75) 75)[-3, 4]

A) {x -3 < x < 4 } B) {x -3 x < 4 }

C) {x -3 < x 4 } D) {x -3 x 4 }

76) 76)(-8, 9)

A) {x -8 < x 9 } B) {x -8 x 9 }

C) {x -8 x < 9 } D) {x -8 < x < 9 }

7



77) 77)(5, )

A) {x x > 5 } B) {x x 5 }

C) {x x 5 } D) {x x > 5 }

78) 78)[-3, )

A) {x x > -3 } B) {x x -3 }

C) {x x > -3 } D) {x x -3 }

79) 79)(- , 1]

A) {x x < 1 } B) {x x 1 }

C) {x x < 1 } D) {x x 1 }

80) 80)(- , -1)

A) {x x < -1 } B) {x x -1 }

C) {x x < -1 } D) {x x -1 }

8



81) 81)(- , 6.5]

A) {x x < 6.5} B) {x x 6.5}

C) {x x 6.5} D) {x x > 6.5}

82) 82)(- , 2.5)

A) {x x 2.5} B) {x x > 2.5}

C) {x x < 2.5} D) {x x 2.5}

83) 83)(2.5, )

A) {x x 2.5} B) {x x > 2.5}

C) {x x < 2.5} D) {x x 2.5}

84) 84)[3.5, )

A) {x x 3.5} B) {x x < 3.5}

C) {x x > 3.5} D) {x x 3.5}

9



Find the absolute value.85) 85)|20|

A) 40 B) -20 C) 0 D) 20

86) 86)|-22|A) -22 B) 22 C) 0 D) 44

87) 87)-|-14|A) -14 B) 0 C) 14 D) 28

88) 88)0A) -1 B) 1 C) 0 D) 10

89) 89)- 25A) -50 B) 25 C) 0 D) -25

90) 90)|4.8|A) 4.8 B) -4.8 C) 0 D) 9.6

91) 91)|-5.2|A) 10.4 B) 5.2 C) 0 D) -5.2

92) |- 11| 92)A) 11 B) -11 C) 11 D) - 11

93) - -913

93)

A) -913

B) -22 C) -4 D) 913

Add as indicated.94) 94)10 + (-12)

A) 22 B) -2 C) 2 D) -22

95) 95)-11 + 14A) 25 B) -3 C) 3 D) -25

96) 96)-4 + (-7)A) 3 B) -3 C) 11 D) -11

97) 97)-6.8 + 2.0A) -4.8 B) 8.8 C) -8.8 D) 4.8

10



98) 34

+ -12

98)

A) -54

B) 54

C) 14

D) -14

99) -23

-35

99)

A) -58

B) -13

C) -75

D) -1915

100) 100)-5.3 + (-5.4)A) -0.1 B) 10.7 C) 0.1 D) -10.7

101) 101)0 + (-12.0 )A) 12.0 B) 0 C) -12.0 D) 2.6

102) 102)10.1 + (-10.1)A) 0 B) -10.1 C) 2 D) 10.1

Find -x for the given value of x.103) 103)x = 16

A) 16 B) 0 C) 116

D) -16

104) 104)x = -11

A) -111

B) 0 C) -11 D) 11

105) 105)x = 22

A) 22 B) 122

C) 0 D) -22

106) 106)x = -2.2

A) 2.2 B) -2.2 C) 1-2.2

D) 0

107) x = 17

107)

A) 17

B) 0 C) 7 D) -17

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108) x = -15

108)

A) 0 B) 15

C) -15

D) - 5

109) x = -52

109)

A) 52

B) 25

C) -52

D) -25

110) x = 67

110)

A) -67

B) -76

C) 67

D) 76

111) x = - 3 111)A) 3 B) -3 C) 3 D) - 3

Subtract as indicated.112) 112)8 - 15

A) 7 B) 23 C) -7 D) -23

113) 113)-11 - 12A) 23 B) -1 C) -23 D) 1

114) 114)-11 - (-10)A) 1 B) 21 C) -21 D) -1

115) 115)10 - (-8)A) -18 B) -2 C) 2 D) 18

116) 116)-2.6 - 13.6A) -11 B) -16.2 C) 16.2 D) 11

117) 111

- -311

117)

A) 211

B) 411

C) -411

D) -211

118) -23

-12

118)

A) -56

B) 76

C) -76

D) -16

12



119) -34

- -58

119)

A) -18

B) 18

C) -14

D) - 1

120) 13

- -16

120)

A) 12

B) 16

C) -12

D) -227

121) 0 - (- 15) 121)A) - 15 B) 15 C) 15 D) -15

The bar graph shows the expenditures of one city government in a recent year.

122) 122)How much more is spent on Health than on Fire?A) $2.6 million B) $1.1 million C) $2.4 million D) $4.3 million

Multiply as indicated.123) 123)14 · 26

A) 364 B) 3640 C) 264 D) 350

124) 124)50(-49)A) -2450 B) -2550 C) 2450 D) -2500

125) 125)(-42)(47)A) -2021 B) -2074 C) -19,740 D) -1974

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126) 126)(-11)(-20)A) 231 B) 120 C) 220 D) 2200

127) 45

(-1) 127)

A) -45

B) 45

C) -25

D) 25

128) - 5 · 0 128)A) 5 B) - 5 C) 0 D) -5

129) 129)(9)(-6)(-6)A) 324 B) -108 C) -324 D) 334

130) 130)5(-1)(4)(-8)A) -160 B) 9 C) 37 D) 160

Evaluate.131) (-5)2 131)

A) -10 B) 10 C) -25 D) 25

132) -54 132)A) -625 B) -1 C) -20 D) 625

133) (-4)3 133)A) -12 B) -1 C) 64 D) -64

134) - -49

3134)

A) 64729

B) -64729

C) 439

D) -129

135) (-1)55 135)A) 1 B) -1 C) 55 D) -55

Divide as indicated or state that the division is undefined.

136) -1897

136)

A) -37 B) -127

C) -27 D) 27

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137) 180-9

137)

A) -120

B) 20 C) -20 D) -30

138) -198-9

138)

A) 12 B) -22 C) 22 D) 122

139) -7.70

139)

A) Undefined B) 0 C) -7.7 D) 7.7

140) 0- 1.5

140)

A) 0 B) 1.5 C) Undefined D) -1.5

141) -211

÷ -27

141)

A) -711

B) 711

C) 117

D) -477

142) 59

÷ -38

142)

A) 4027

B) -524

C) 2740

D) -4027

143) 15 ÷ -35

143)

A) 25 B) -9 C) 9 D) -25

Use the order of operations to simplify the expression.144) 144)-13 + 50 ÷ (-5)

A) 23 B) -23 C) 7 D) -7

145) 145)0 ÷ 9 + 4 · 3A) 21 B) 39 C) Undefined D) 12

146) 73 - (-12)2 146)A) 487 B) 199 C) 45 D) -123

147) 147)89 - 3 · 25 + 120 ÷ (-8)A) 2135 B) -1559 C) -29 D) -1

15



148) 148)2 · [5(3 - 8) - 2]A) -34 B) -29 C) -30 D) -54

149) 22 - [8 - (6 - 9)] + (2 - 4)3 149)A) 25 B) 3 C) -19 D) 19

150) (-6) · (6 - 3) + (-6) · 7(-6) · (8 - 4)

150)

A) 27344

B) 2 C) 52

D) 1

151) 32 + 9 · 982 - 8 · 6 + -15 - 13

151)

A) Undefined B) 11388

C) 113 D) 11340

152) 20 - 42 + 3 · 11 152)A) 20 - 4 33 B) 13 C) 27 D) 12

153) 62 - -1 + 9 + 7 153)A) -9 B) 5 C) 35 D) 21

Solve the problem.154) Your company uses the quadratic model y = -11x2 + 350x to represent how many units (y) of a

new product will be sold (x) weeks after its release. How many units can you expect to sell inweek 17?

154)

A) 5763 units B) 2771 units C) 6137 units D) 9129 units

155) 155)If a ball is thrown upward with a speed of 33.1 feet per second from a 124.26 ft high window, thenits height t seconds after it is thrown is given by the formula h = -16t2 + 33.1t + 124.26. Find theheight of the ball 0.6 seconds after it is thrown.

A) 110.16 ft B) 138.36 ft C) 149.88 ft D) 98.64 ft

156) The formula C = 0.053x2 + 0.64x + 4.7 can be used to approximate the number, C, (in millions) oflaptops sold over a ten-year period, where x is the number of years since the first year thisinformation was recorded. According to this formula, how many laptops were sold in year 6?Round the answer to the nearest tenth of a million.

156)

A) 8.9 million B) 4.7 million C) 9.2 million D) 10.4 million

157) 157)The median age at which men in a certain county were first married can be modeled by theformula A = 0.0037x2 - 0.45x + 36.03 where x is the number of years after 2000. What would bethe predicted median age at first marriage for men in the year 2061? Round to the nearest tenth ofa year.

A) 23.7 yr B) 22.3 yr C) 27.2 yr D) 26.7 yr

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158) 158)Raleigh has a total of 67 coins, all of which are either dimes or nickels. If d of the coins are dimes,then the total value of the coins (in dollars) is given by the algebraic expression 0.1d + 0.05(67 - d).If the number of dimes is 39, determine the total value of the coins.

A) $5.30 B) $4.65 C) $6.05 D) $3.90

159) 159)There were 40,000 people at a ball game in Los Angeles. Each person paid either $12 for a reservedseat or $6 for general admission. If the number who paid $12 for a reserved seat was x, then thetotal receipts for the game are given by the algebraic expression 12x + 6(40,000 - x). Find the totalreceipts for the game if the number who paid $12 was 10,000.

A) $282,000 B) $300,000 C) $218,000 D) $258,000

160) 160)Paul has $20,000 to invest. He puts x dollars in a safe government-insured certificate of depositpaying 5% per year. He invests the remainder of the money in noninsured corporate bondspaying 12% per year. His total interest earned at the end of the year is given by the algebraicexpression 0.05x + 0.12(20,000 - x). Simplify this expression.

A) 2400 + 0.07x B) 2400 - 0.07x C) 2400 + 0.17x D) 2400 - 0.95x

161) 161)Paul has $30,000 to invest. He puts x dollars in a safe government-insured certificate of depositpaying 6% per year. He invests the remainder of the money in noninsured corporate bondspaying 11% per year. His total interest earned at the end of the year is given by the algebraicexpression 0.06x + 0.11(30,000 - x). Determine the amount of interest earned at the end of the yearif he invests $12,000 in the government-insured certificate of deposit.

A) $2430 B) $3900 C) $5340 D) $2700

Use the indicated property to write an algebraic expression equivalent to the given expression.162) 162)5 + x; commutative

A) x - 5 B) -x - 5 C) 5 - x D) x + 5

163) 163)-20 · x; commutative of multiplicationA) 20 · x B) x - (20) C) 20 - x D) x · (-20)

164) 164)8x + 25; commutative of additionA) 8x - 25 B) -8x + 25 C) 25 + 8x D) 25x + 8

165) 165)(8x + 8) + 6; associativeA) 8x + (8 + 6) B) 8x + 8 + 6 C) (8x + 8 + 6) D) (8 + 8x) + 6

166) 166)2 · (ay); associativeA) 2 · (y + a) B) (ay) ÷ 2 C) (2a) · y D) 2 + (ay)

167) -52

(-8y); associative 167)

A) -20y B) 3y C) 20y D) -10y

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168) 213

132

t; associative 168)

A) t B) 132

t C) 17326

t D) 4169

t

169) 169)6(2n + 7); distributiveA) 12n + 42 B) 54n C) 8n + 13 D) 12n + 7

170) 170)- (-6x + 8); distributiveA) -6x - 8 B) -6x + 8 C) 6x - 8 D) 6x + 8

Simplify the algebraic expression.171) 171)-3x + 6x

A) -18x B) -9x C) 3x D) 3 + x

172) 8x3 + 6x3 172)A) 14x6 B) 14x9 C) 13x3 D) 14x3

173) 173)3x + 2y + 7x + 2yA) 10x + 4y B) 3x + 7x + 2y + 2yC) 4x + 10y D) 14xy

174) 174)-5(2x - 9) - 4x + 7A) 14x + 52 B) -14x + 52 C) 6x + 52 D) -14x - 38

175) 175)7(8x - 4) - 3(x - 1)A) 53x - 5 B) 53x - 31 C) 53x - 25 D) 35x - 25

176) 7[3x2 - 8(6 - x)] 176)A) 21x2 + 8x - 48 B) 21x2 - 56x - 336C) 21x2 + 56x - 336 D) 21x2 - 7x - 336

177) -[8x2 + (-8x2 - 2)] - [ (-10x2 - (4 + 2x2)) + 5x2] 177)A) 7x2 + 6 B) -13x2 - 6 C) -7x2 - 2 D) -17x2 - 2

Plot the point in the rectangular coordinate system.

18



178) 178)(3,2)

A) B)

C) D)

19



179) 179)(-4,2)

A) B)

C) D)

20



180) 180)(2,-5)

A) B)

C) D)

21



181) 181)(-4,-1)

A) B)

C) D)

22



182) 182)(0,-3)

A) B)

C) D)

23



183) 183)(-1, 0)

A) B)

C) D)

Graph the equation.

24



184) y = x2 - 1 184)

A) B)

C) D)

185) 185)y = x - 6

25



A) B)

C) D)

186) 186)y = 3x - 1

26



A) B)

C) D)

187) y = 14

x - 3 187)

27



A) B)

C) D)

188) 188)y = x - 5

A) B)

28



C) D)

189) 189)y = -4|x|

A) B)

29



C) D)

190) y = -15

x2 190)

A) B)

30



C) D)

191) y = x3 - 2 191)

A) B)

31



C) D)

192) 192)y = -6

A) B)

C) D)

32



193) y = 1x

193)

A) B)

C) D)

33



The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.

194) 194)At what time was the temperature the highest?A) 5 p.m. B) 1 p.m. C) 11 a.m. D) 2 p.m.

195) 195)At what time was the temperature its lowest?A) 6 p.m. B) 4 p.m. C) 9 a.m. D) 1 p.m.

196) 196)What temperature was recorded at 10 a.m.?A) 71 ° F B) 75 ° F C) 73 ° F D) 74 ° F

197) 197)During which hour did the temperature increase the most?A) 1 p.m. to 2 p.m. B) 10 a.m. to 11 a.m.C) 12 p.m. to 1 p.m. D) 9 a.m. to 10 a.m.

198) 198)At what time was the temperature 79°?A) 1 p.m. B) 12 p.m. C) 4 p.m. D) 3 p.m.

199) 199)During which two hour period did the temperature increase the most?A) 12 p.m. to 2 p.m. B) 10 a.m. to 12 p.m.C) 9 a.m. to 11 a.m. D) 10 a.m. to 11 a.m.

34



Match the story with the correct figure.200) 200)The amount of rainfall as a function of time, if the rain fell more and more softly.

A) B)

C) D)

35



201) 201)The height of an animal as a function of time.A) B)

C) D)

Solve the problem.202) 202)Mark started out by walking up a hill for 5 minutes. For the next 5 minutes he walked down a

steep hill to an elevation lower than his starting point. For the next 10 minutes he walked on levelground. For the next 10 minutes he walked uphill. Determine which graph of elevation above sealevel versus time illustrates the story.

A)

36



B)

C)

D)

37



Match the correct viewing rectangle dimensions with the figure.203) 203)

A) [-20, 10, 2] by [-20, 10, 2] B) [-2, 2, 2] by [-2, 2, 2]C) [-10, 10, 2] by [-10, 10, 2] D) [-10, 10, 4] by [-10, 10, 4]

204) 204)

A) [-20, 10, 2] by [-20, 10, 2] B) [-2, 16, 2] by [-8, 10, 2]C) [-8, 10, 2] by [-2, 16, 2] D) [-2, 16, 2] by [-2, 16, 2]

205) 205)

A) [-10, 10, 5] by [-10, 10, 5] B) [-50, 50, 5] by [-50, 50, 5]C) [-40, 40, 10] by [-10, 10, 5] D) [-10, 10, 5] by [-200, 200, 20]

38



206) 206)

A) [-50, 25, 5] by [-50, 25, 5] B) [-5, 25, 5] by [-20, 40, 5]C) [-50, 150, 50] by [-2000, 2500, 500] D) [-5, 40, 5] by [-5, 40, 5]

The table of values was generated by a graphing utility with a TABLE feature. Use the following table to solve.

X Y1 Y2-3 9 -3-2 4 -1-1 1 1 0 0 3 1 1 5 2 4 7 3 9 9207) 207)Which equation corresponds to Y2 in the table?

A) y2 = 3 - 2x B) y2 = x + 3 C) y2 = 3x - 2 D) y2 = 2x + 3

208) 208)Does the graph of Y2 pass through the origin?

A) Yes B) No

209) 209)At which points do the graph of Y1 and Y2 intersect?

A) (2, 4) and (3, 9) B) (-1, 1) and (3, 9)C) (-1, 1) and (2, 7) D) (2, 7) and (2, 4)

210) 210)For which values of x is Y1 = Y2?

A) 1 and 3 B) 1 and -3 C) -1 and 1 D) -1 and 3

Solve the equation.211) 211)10x + 3 = 103

A) {10} B) {90} C) {7} D) {94}

212) 212)7x - 4 = 10A) {11} B) {5} C) {7} D) {2}

39



213) 213)9x - (-8x + 4) = -5

A) - 17 B) 17 C) -117

D) -19

214) 214)9x + 5 = -2 + 10x

A) 193

B) 17

C) -17

D) 7

215) 215)7 = -6(x + 8) - (-7x + 4)A) {59} B) {- 3} C) {- 59} D) {- 45}

216) 216)8y + 4(6 + y) = 3(y - 9) + 10yA) {-51} B) {-15} C) {51} D) {15}

217) x5

=x9

+35

217)

A) 274

B) -35

C) 427

D) {0}

218) x8

-x9

= 3 218)

A) {24} B) {72} C) 216 D) {27}

219) x + 96

= 1 -x - 3

3219)

A) {18} B) {0} C) 6 D) {1}

220) -14

(x + 8) + 17

(x + 7) = x + 7 220)

A) -11231

B) -22431

C) -28031

D) -16831

221) 23 - x = [5 - (2 - 9)] - (5 - 7)3 221)A) {-19} B) {19} C) {3} D) {33}

222) [-10(7 - 8)5 - (-8)] = -2x 222)A) {-9} B) {-1} C) {-5} D) {-11}

223) [2 + (-5)2 + 3 · 8] ÷ (6 - 4)= 3x 223)A) 17

2B) {2} C) 16

7D) {0}

40



224) 224)4(x - 3) - 8 = 8x - 4(x - 7 ÷ 1.1)A) B) {-36} C) {20} D) ( , )

225) 5(x - 5) - [40 ÷ 2(8 + 33) + 8x] = -3(x - 3) 225)A) {8} B) ( , ) C) D) {3}

226) 226)0.50x - 0.30(50 + x) = -0.18(50)A) {15} B) {40} C) {30} D) {20}

227) 227)-0.08y + 0.15(900 - y) = 0.27yA) {270} B) {675} C) {540} D) {67.5}

228) 228)2{12 - [6x - (7x - 3)]} = 24 - 9(x - 3)

A) {-3} B) -2111

C) 2111

D) {3}

229) 229)2{2 - [4(k + 4) - 3(k + 4)]} = -3k

A) {4} B) -74

C) 23

D) 0

230) 230)-{5(d + 2) - 6[3d - 2(3d + 8)] - 7} = -18d + 126

A) {50} B) 22541

C) {-45} D) 14516

Evaluate.231) Evaluate x2 + 2x for the value of x satisfying 5(x - 3) + 13 = 4x - 3(2 - x). 231)

A) 12 B) 3 C) 8 D) 15

232) Evaluate x2 - (xy - y) for x satisfying 4(x - 2)7

= 6x - 12 and y satisfying -2y + 31 = 5y + 10. 232)

A) 2 B) 3 C) -5 D) 1

41



Use the Y = screen to write the equation being solved. Then use the table to solve the equation.233) 233)

Plot1 Plot2 Plot3Y1 = 3 ( X - 3 )

Y2 = 3 ( 2 - 4 X )

Y3 =

Y4 =

Y5 =

Y6 =

Y7 =

X Y1 Y2- 3 - 18 42- 2 - 15 30- 1 - 12 180 - 9 61 - 6 - 62 - 3 - 183 0 - 30

X = - 3

A) 3(x - 3) =3(2 - 4x); {1} B) 3(x - 3) + 3(2 - 4x) = 0; {1}C) 3(x - 3) = 3(2 - 4x); {-3} D) 3(x - 3) + 3(2 - 4x) = 0; {-3}

234) 234) Plot1 Plot2 Plot3

Y1 = 2 ( 3X + 5 )

Y2 = - 4X + 1

Y3 =

Y4 =

Y5 =

Y6 =

Y7 =

X Y1 Y2 - 1 4 5 - .9 4.6 2.7 - .8 5.2 2.4 - .7 5.8 2.1 - .6 6.4 1.8 - .5 7 1.5 - .4 7.6 1.2 X = - 1

A) 2(3x + 5) = -4x + 1; {-0.9} B) 2(3x + 5) + -4x + 1 = 0; {-0.9}C) 2(3x + 5) = -4x + 1; {-1} D) 2(3x + 5) + -4x + 1 = 0; {-1}

42



Solve the equation to determine whether the equation is an identity, a conditional equation, or an inconsistent equation.235) 235)5(x + 2) = 5x + 10

A) Identity B) Conditional equation C) Inconsistent equation

236) 236)6(x - 6) - 54 = 8x - 2(x - 3)A) Identity B) Conditional equation C) Inconsistent equation

237) 237)-9x + 3(-2x - 6) = -24 - 9xA) Identity B) Conditional equation C) Inconsistent equation

238) 3x + 73

+53

= -2x5

238)

A) Identity B) Conditional equation C) Inconsistent equation

239) 239)18x + 11(x + 1) = 29(x + 1) - 18A) IdentityB) Conditional equationC) Inconsistent equation

240) 240)5x - 7 - 5x - 6 = 9x - 9x - 16A) Identity B) Conditional equation C) Inconsistent equation

Solve.241) 241)A certain store has a fax machine available for use by its customers. The store charges $2.10 to

send the first page and $0.65 for each subsequent page. The total price, P, for the faxing x pagescan be modeled by the formula P = 0.65(x - 1) + 2.10. Determine the number of pages that can befaxed for $8.60.

A) 11 pages B) 4 pages C) 13 pages D) 52 pages

242) 242)A car rental agency charges $200 per week plus $0.20 per mile to rent a car. The total cost, C, forthe renting the car for one week and driving it x miles can be modeled by the formulaC = 0.20x + 200. How many miles can you travel in one week for $280?

A) 400 miles B) 1400 miles C) 375 miles D) 256 miles

243) 243)The equation V = -2000t + 20,000 describes the value in dollars of a certain model of car after it is tyears old. If a car is worth $12,000, find the age of the car.

A) 3 years B) 4 years C) 6 years D) 5 years

244) The formula N = 3x2 + 6x + 1 represents the number of households in a certain city, N, inthousands, that have a computer, x years after 2005. According to the formula, in what year werethere 73,000 households with computers in this city?

244)

A) 2008 B) 2010 C) 2009 D) 2007

43



245) The formula F = 0.03x2 + 18 models the percentage of female tenured faculty, F, at StateUniversity, x years after 2010. According to the formula, in what year will the percentage offemale tenured faculty reach 33.87?

245)

A) 2032 B) 2034 C) 2033 D) 2035

Use the five-step strategy for solving word problems to find the number or numbers described in the following exercise.246) 246)When four times a number is added to 7 times the number, the result is 44. What is the number?

A) -6.3 B) 4 C) 6.3 D) 0.7

247) 247)When 2 times a number is subtracted from 7 times the number, the result is 40. What is thenumber?

A) -8 B) 5 C) 8 D) 2.7

248) 248)When a number is decreased by 24% of itself, the result is 361. What is the number?A) 114 B) 1979 C) 5 D) 475

249) 249)When 50% of a number is added to the number, the result is 15. What is the number?A) 33 B) 5 C) 10 D) 150

250) 250)70% of what number is 91?A) 13 B) 130 C) 1300 D) 63.7

251) 251)One number exceeds another by 4. The sum of the numbers is -2. What are the numbers?A) 1 and -3 B) -1 and -2 C) 0 and -2 D) No solution

Solve the problem.252) 252)During a road trip, Tony drove one-third the distance that Lana drove. Mark drives 12 more miles

than Lana drove. The total distance they drove on the trip was 558 miles. How many miles dideach person drive?

A) Tony drove 702 miles, Lana drove 234 miles, and Mark drove 222 miles.B) Tony drove 78 miles, Lana drove 234 miles, and Mark drove 246 miles.C) Tony drove 234 miles, Lana drove 702 miles, and Mark drove 714 miles.D) Tony drove 74 miles, Lana drove 222 miles, and Mark drove 234 miles.

253) 253)The sum of the angles of a triangle is 180°. Find the three angles of the triangle if one angle is twicethe smallest angle and the third angle is 28° greater than the smallest angle.

A) 24°, 48°, 108° B) 30°, 60°, 90° C) 38°, 76°, 66° D) 24°, 52°, 104°

44



254) 254)In a recent International Gymnastics competition, the U.S., China, and Romania were the bigwinners. If the total number of medals won by each team are three consecutive integers whosesum is 75 and the U.S. won more than China who won more than Romania, how many medals dideach team win?

A) U.S.: 77 medals; China: 76 medals; Romania: 75 medalsB) U.S.: 24 medals; China: 23 medals; Romania: 22 medalsC) U.S.: 26 medals; China: 25 medals; Romania: 24 medalsD) U.S.: 27 medals; China: 26 medals; Romania: 25 medals

255) 255)Juanita is having her yard landscaped. She obtained an estimate from two landscaping companies.Company A gave an estimate of $230 for materials and equipment rental plus $55 per hour forlabor. Company B gave and estimate of $290 for materials and equipment rental plus $45 per hourfor labor. Determine how many hours of labor will be required for the two companies to cost thesame.

A) 6 hr B) 9 hr C) 5 hr D) 10 hr

256) 256)After a 9% price reduction, a boat sold for $24,570. What was the boat's price before the reduction?(Round to the nearest cent, if necessary.)

A) $273,000.00 B) $26,781.30 C) $2211.30 D) $27,000

257) 257)Inclusive of a 7.7% sales tax, a diamond ring sold for $2692.50. Find the price of the ring before thetax was added. (Round to the nearest cent, if necessary.)

A) $2500 B) $2899.82 C) $207.32 D) $2485.18

258) 258)The length of a rectangular room is 5 feet longer than twice the width. If the room's perimeter is178 feet, what are the room's dimensions?

A) Width = 42 ft; length = 47 ft B) Width = 28 ft; length = 61 ftC) Width = 33 ft; length = 71 ft D) Width = 56 ft; length = 122 ft

259) 259)A bookcase is to be constructed as shown in the figure below. The height of the bookcase is 3 feetlonger than the length of a shelf. If 24 feet of lumber is used for the entire unit (including theshelves, but NOT the back of the bookcase), find the length and height of the unit.

x

x + 3

A) Length = 3 ft; height = 9 ft B) Length = 10.5 ft; height = 13.5 ftC) Length = 4.5 ft; height = 7.5 ft D) Length = 3 ft; height = 6 ft

45



260) 260)An auto repair shop charged a customer $348 to repair a car. The bill listed $68 for parts and theremainder for labor. If the cost of labor is $40 per hour, how many hours of labor did it take torepair the car?

A) 7.5 hr B) 7 hr C) 6 hr D) 8 hr

261) 261)Sergio's internet provider charges its customers $10 per month plus 6¢ per minute of on-lineusage. Sergio received a bill from the provider covering a 5-month period and was charged a totalof $78.80. How many minutes did he spend on-line during that period? (Round to the nearestwhole minute, if necessary.)

A) 48 min B) 798 min C) 715 min D) 480 min

Solve the formula for the specified variable.262) 262)d = rt for r

A) r = dt B) r =td

C) r = d - t D) r =dt

263) A = 12

bh for b 263)

A) b = 2Ah

B) b = A2h

C) b = h2A

D) b = Ah2

264) V = 13

Bh for h 264)

A) h = B3V

B) h = V3B

C) h = 3VB

D) h = 3BV

265) 265)P = 2L + 2W for W

A) W = P - L B) W =P - 2L

2C) W = P - 2L D) W =

P - L2

266) S = 2 rh + 2 r2 for h 266)

A) h = S2 r

- 1 B) h = S - r C) h = 2 (S - r) D) h = S - 2 r22 r

267) 267)P = s1 + s2 + s3 for s3A) s3 = s1 + s2 - P B) s3 = P + s1 + s2 C) s3 = P - s1 - s2 D) s3 = s1 + P - s2

268) F =95

C + 32 for C 268)

A) C = 5F - 32

B) C = 59

(F - 32) C) C = 95

(F - 32) D) C = F - 329

46



269) I = nEnr + R

for n 269)

A) n = IRIr + E

B) n = -IRIr - E

C) n = IR(Ir - E) D) n = -RIr - E

270) 270)A = P(1 + nr) for r

A) r = P - APn

B) r = An

C) r = A - PPn

D) r = PnA - P

271) A = 12

h(b1 + b2) for b1 271)

A) b1 =A - hb2

2hB) b1 =

2A - hb2h

C) b1 =b22A - h

hD) b1 =

hb2 - 2Ah

Multiply the expression using the product rule.272) x9 · x5 272)

A) 14x B) x45 C) x14 D) 45x

273) x · x4 273)A) x4 B) x5 C) 2x4 D) 2x5

274) 46 · 45 274)A) 1630 B) 411 C) 1611 D) 430

275) (-3p6)(-5p7) 275)A) -15p13 B) -15p42 C) 15p42 D) 15p13

276) (-6x5y)(-8x2y6) 276)A) 48x10y6 B) -48x7y6 C) 48x7y7 D) -14x7y6

Divide the expression using the quotient rule.

277) x11

x6277)

A) x5 B) x1 C) 1x5

D) x17

278) -20x8

4x5278)

A) -5x2 B) -5x3 C) x3 D) x2

47



279) x11y12

x4y8279)

A) x7y4 B) x6y3 C) x6y4 D) xy4

280) -36x13y8

6x8y4280)

A) -6x5y4 B) -6x4y5 C) x5y4 D) -6x4y3

281) -14x11y12z7

7x7y6z6281)

A) -2x4y6 B) -2x3y5z C) -2x4y6z D) x4y6z

Use the zero exponent rule to simplify the expression.282) 20 282)

A) 0 B) 1 C) -1 D) 2

283) (-10)0 283)A) 10 B) 0 C) 1 D) -1

284) -90 284)A) 0 B) 1 C) 9 D) -1

285) -6y0 285)A) -5 B) 1 C) 0 D) -6

286) 3b 0 286)A) 3 B) b C) 0 D) 1

Write the expression with positive exponents only. Then simplify, if possible.287) 5-3 287)

A) 1125

B) 115

C) 125 D) -125

288) (-3)-4 288)A) 1

81B) 81 C) -81 D) -

181

289) -5-2 289)A) 1

10B) 25 C) -25 D) -

125

48



290) x2y-4 290)

A) y4x2 B) x2

y10C) y10x2 D) x2

y4

291) 2x-7y7 291)

A) 2x7y7

B) 2x7

y7C) 2y7

x7D) y7

2x7

292) 15-2

292)

A) 125

B) -125

C) - 25 D) 25

293) 1-2-4

293)

A) 116

B) - 16 C) -116

D) 16

294) x-7

y-6294)

A) 1x7y6

B) y6

x7C) x7

y6D) x7y6

295) x2y-2

z-6295)

A) x2z2

y6B) y2

x2z6C) z6

x2y2D) x2z6

y2

Simplify the expression using the power rule.

296) (x8)4 296)A) 4x32 B) x32 C) x12 D) 4x8

297) (x7)-6 297)A) -6x42 B) -6x7 C) 1

x42D) - x42

298) (62)5 298)A) 5 · 610 B) 610 C) 67 D) 5 · 62

49



299) (2-6)-2 299)A) 212 B) 1

28C) 28 D) 1

212

Simplify the expression using the products to powers rule.300) (4a)2 300)

A) 16a B) 8a2 C) 16a2 D) 8a

301) (-2a)6 301)A) -12a B) 64a C) 64a6 D) -12a6

302) (-2xy)6 302)A) 64xy B) 64x6y6 C) -12xy D) -12x6y6

303) (-3pqr)3 303)A) -27p3q3r3 B) -9pqr C) -27pqr D) -9p3q3r3

304) (x9y)3 304)A) x27y B) x27y3 C) x12y4 D) x12y

305) (x-4y6)-3 305)

A) x-7

y3B) y3

x-7C) x12

y18D) 1

x12y18

306) (5x-3y9z-9)-3 306)

A) x9z27

125y27B) y12

125x6z12C) y12

-15x6z12D) x9z27

-15y-27

Simplify the expression using the quotients-to-powers rule.

307) a5

3307)

A) a35

B) a4625

C) a5

D) a3125

308) p44

2308)

A) p816

B) p64

C) p616

D) p84

50



309) -2pq

3309)

A) -6pq

B) -6p3

q3C) -8p3

q3D) -8p

q3

310) m3

q5

6310)

A) m9

q30B) m18

q11C) m18

q30D) m9

q11

311) x-3

y5

-3311)

A) x-6

y2B) x9y15 C) 1

x9y15D) y2

x-6

312) 3p2v2

s4

2312)

A) 9p4v4

s8B) 3p4v4

s6C) 3p4v4

s8D) 9p4v4

s6

Simplify the exponential expression.

313) 5x7

x5313)

A) 5x2 B) 10x C) 5x12 D) 25x2

314) 14x12

2x9314)

A) 7x3 B) x3 C) 7x2 D) x2

315) x2

x4315)

A) -x2 B) x2 C) -1x2

D) 1x2

316) -9ym5n-5ym8n

316)

A) 14m3

B) 4y2n2

m3C) 9

5m3D) 4

m3

51



317) y-6 · y3 317)A) 1

y9B) 1

y3C) y9 D) 1

y18

318) (-3x6y-7)(5x-1y) 318)

A) -15x7

y8B) 2x5

y6C) -15x5y8 D) -15x5

y6

319) y-6

y2319)

A) 1y8

B) y8 C) 1y4

D) 1y12

320) 3-7x-6y2

3-4x-9y4320)

A) 27x3y2

B) x3

27y2C) 3x3

y2D) 1

27x9y2

321) xy4

x6y

-2321)

A) 1x14y10

B) 1x8y9

C) y6

x10D) x10

y6

322) 12x-3y-2z4

3xy-2z-4

-2322)

A) 4x8

z16B) x4

16z16C) x8y4

16z16D) x8

16z16

Solve the problem.

323) According to Bode's law, the distance d of the nth planet from the sun is d = 3(2n-2) + 410

, in

astronomical units. Find the distance of Mars (n = 4) from the sun.

323)

A) 1.6 units B) 0.7 units C) 2.8 units D) 1.0 units

324) 324)When interest is compounded quarterly on an investment, the formula for finding the amount A

of an investment is given by A = P(1 + r4

)4t

, where P is the starting principal, r is the interest rate

(as a decimal), and t is the time in years of the investment. What is the amount of an investmentthat started with $10,000 at an interest rate of 8% for 1 year?

A) $810,000 B) $10,824.32 C) $10,201.51 D) $160,000

52



325) 325)It is known that one-fourth of all aluminum cans distributed will be recycled each year, thus the

number of cans still in use (recycled) after t years is N = P(14

)t, where P is the number of cans

produced in a year. If a beverage company distributes 230,000 new cans in a given year, howmany of these cans are still in use after 2 years?

A) 3,680,000 cans B) 57,500 cans C) 28,750 cans D) 14,375 cans

326) 326)E. coli is a strain of bacteria that occurs naturally and is often used in lab experiments. Undercertain conditions, the number of bacteria present in a colony is given by E = Eo · 2t/30, where E isthe number of bacteria present t minutes after the beginning of an experiment, and Eo is thenumber present when t = 0. If Eo is 16, how many bacteria are present after 60 minutes?

A) 64 bacteria B) 128 bacteria C) 20 bacteria D) 512 bacteria

327) 327)A person learning certain skills involving repetition tends to learn quickly at first and thenlearning tapers off and approaches some upper limit. Suppose the number of symbols per minutethat a computer operator can produce is given by P = 210 - 140(3)-0.5t, where t is the number ofmonths the operator has been in training. Find the number of symbols after 4 months of training.

A) 7 symbols B) 194 symbols C) 630 symbols D) 1050 symbols

Write the number in decimal notation without the use of exponents.328) 5 × 105 328)

A) 0.000005 B) 5,000,000 C) 0.00005 D) 500,000

329) -3.83 × 104 329)A) -3830 B) 38,300 C) -38,300 D) -383,000

330) 5.69 × 100 330)A) 0 B) 1 C) 5.69 D) 56.9

331) 4.78 × 10-4 331)A) 0.000478 B) -478,000 C) 0.00478 D) 0.0000478

332) -4.3029 × 106 332)A) -430,290 B) -258.174 C) -4,302,900 D) -43,029,000

333) 1.458 × 10-6 333)A) 0.000001458 B) 0.00001458 C) -1,458,000 D) 0.0000001458

Write the number in scientific notation.334) 334)790,000

A) 7.9 × 10-4 B) 7.9 × 10-5 C) 7.9 × 105 D) 7.9 × 104

53



335) 335)71,000,000A) 7.1 × 106 B) 7.1 × 107 C) 7.1 × 10-7 D) 7.1 × 10-6

336) 336)795,742A) 7.95742 × 106 B) 7.95742 × 101 C) 7.95742 × 10-5 D) 7.95742 × 105

337) 337)0.000441A) 4.41 × 10-3 B) 4.41 × 10-4 C) 4.41 × 10-5 D) 4.41 × 104

338) 338)0.0000000522011A) 5.22011 × 10-9 B) 5.22011 × 10-7 C) 5.22011 × 108 D) 5.22011 × 10-8

339) 339)1.48A) 14.8 × 10-1 B) 14.8 × 100 C) 1.48 × 100 D) 1.48 × 101

Perform the indicated computation. Write the answer in scientific notation.340) (6 × 104)(4.4 × 107) 340)

A) 26.4 × 1012 B) 264 × 1011 C) 2.64 × 1028 D) 2.64 × 1012

341) (3 × 107)(2.1 × 107) 341)A) 6.3 × 1049 B) 6.3 × 1015 C) 6.3 × 1014 D) 63 × 1014

342) 16 × 104

4 × 10-1342)

A) 4 × 103 B) 8 × 103 C) 4 × 105 D) 8 × 105

343) 22.2 × 108

5 × 106343)

A) 8.88 × 1014 B) 4.44 × 1014 C) 4.44 × 102 D) 8.88 × 102

344) 11.9 × 10-8

3.5 × 10-6344)

A) 6.8 × 10-14 B) 3.4 × 10-14 C) 6.8 × 10-2 D) 3.4 × 10-2

345) 24,000,000,0000.00003

345)

A) 21 × 1014 B) 8 × 1013 C) 8 × 1014 D) 21 × 1013

346) 0.00012 × 0.00040.0006

346)

A) 48 × 10-6 B) 8 × 10-5 C) 48 × 106 D) 8 × 105

54



Solve the equation. Express the solution in scientific notation.

347) x4 × 108

= -1.8 × 105 347)

A) {-7.2 × 1040} B) {7.2 × 1013} C) {-7.2 × 1013} D) {7.2 × 1014}

348) x5 × 10-3

= 4.4 × 10-6 348)

A) {2.2 × 1018} B) {220 × 10-9} C) {22 × 10-8} D) {2.2 × 10-8}

349) (2.5 × 10-3)x = 5 × 107 349)A) {2.0 × 104} B) {2.0 × 1010} C) {4 × 104} D) {4 × 1010}

350) (5.3 × 103)x = 7.2 × 1010 350)A) {1.25 × 108 } B) {1.36 × 1013 } C) {1.36 × 10-7 } D) {1.36 × 107 }

351) (8.7 × 10-10)x = 8.0 × 10-5 351)A) {9.20 × 104 } B) {9.20 × 10-6 } C) {1.67 × 106 } D) {9.20 × 10-16 }

352) x - (4.1 × 10-12) = 8.1 × 10-12 352)A) {1.22 × 10-11} B) {1.22 × 10-23} C) {12.2 × 10-12} D) {1.22 × 10-13}

353) (-1.8 × 10-6)x = (2.2 × 10-7)(3.6 × 106) 353)A) {-4.4 × 10-7} B) {-4.4 × 107} C) {-4.4 × 105} D) {-0.44 × 106}

Solve. Express the result in scientific notation. If necessary, round the decimal factor to two decimal places.354) 354)A business projects next year's profits to be $48,400,000. Write this number in scientific notation.

A) 4.84 × 106 B) 4.84 × 107 C) 4.84 × 10-8 D) 4.84 × 108

355) 355)A computer compiles a program in 0.000695 seconds. Write this number in scientific notation.A) 6.95 × 103 B) 6.95 × 10-6 C) 6.95 × 10-5 D) 6.95 × 10-4

356) A particle is observed moving at 8.64 × 10-5 meters per second. Find the distance the particlewould travel in 7.93 × 10-6 seconds.

356)

A) 0.69 × 10-10 meters B) 6.85 × 10-9 metersC) 6.85 × 10-11 meters D) 6.85 × 10-10 meters

357) 357)In a state with a population of 5,000,000 people, the average citizen spends $6,000 on housing eachyear. What is the total spent on housing for the state?

A) $30 × 1010 B) $3 × 1010 C) $3 × 109 D) $30 × 1011

55



358) Approximately 8 × 103 employees of a certain company average $30,000 each year in salary. Whatis the total amount earned by all the employees of this company per year?

358)

A) $2.4 × 108 B) $24 × 109 C) $2.4 × 109 D) $24 × 108

359) If the density of a substance is 3.42 × 10-2 tons per cubic foot, what would be the mass of

1.19 × 10-7 cubic feet of this substance. (Use the formula D = MV

.)

359)

A) 0.41 × 10-9 tons B) 4.07 × 10-9 tonsC) 4.07 × 10-8 tons D) 4.07 × 10-10 tons

360) If the mass of an object is 4.5477 × 10-5 tons and its volume is 1.63 × 10-3 cubic feet, find the

density of this object. (Use the formula D = MV

.)

360)

A) 27.9 × 10-2 tons per cubic foot B) 2.79 × 10-3 tons per cubic footC) 2.79 × 10-2 tons per cubic foot D) 2.79 × 10-1 tons per cubic foot

361) If the mass of an object is 6.13521 × 10-6 tons and its density is 8.37 × 10-3 tons per cubic foot, find

the volume of this object. (Use the formula D = MV

.)

361)

A) 73.3 × 10-4 cubic feet B) 7.33 × 10-3 cubic feetC) 7.33 × 10-4 cubic feet D) 7.33 × 10-5 cubic feet

Provide an appropriate response.362) 362)Write the following English phrase as an algebraic expression:

Three times the difference of a number and twelve.Let x represent the number.

A) 3x - 12 B) 3(12 - x) C) 3(x - 12) D) 3 - 12x

363) Evaluate: 1 + 4(x - 5)2, for x = 11. 363)A) 145 B) 1025 C) 25 D) 143

364) 364)Use the roster method to list the elements in the set: {x|x is an integer greater than 0}.A) {1, 2, 3, 4} B) {1, 2, 3, . . .} C) {-1, -2, -3, . . .} D) {0, 1, 2, 3, . . .}

365) 365)Determine whether the following statement is true or false.45

{ x |x is a natural number}

A) True B) False

366) 366)Write out the meaning of the inequality -16 > -9. Then determine whether the inequality is true orfalse.

A) -16 is less than -9; true B) -16 is greater than -9; falseC) -16 is less than -9; false D) -16 is greater than -9; true

56



Express the interval in set builder notation and graph the interval on a number line.367) 367)[-6, 5)

A) {x -6 x < 5} B) {x -6 < x 5}

C) {x -6 x 5} D) {x x < 5}

368) 368)(- , 2]

A) {x x 2} B) {x x < 2}

C) {x x 2} D) {x x > 2}

Provide an appropriate response.369) 369)The bar graph shows the percentage of Americans in various age groups who had contact with a

police officer, for anything from an arrest to asking directions, in a recent year.

The mathematical model P = -0.6x2 + 0.8x + 26.6 describes the percentage of Americans, P, in agegroup x who had contact with a police officer. Does the model underestimate or overestimate thepercentage of Americans between the ages of 16 and 19, inclusive, who had contact with a policeofficer? By how much?

A) overestimates by 0.8 B) underestimates by 0.8C) underestimates by 1.8 D) overestimates by 1.8

57



370) 370)Find the absolute value: |-9.2|.A) -9.2 B) 18.4 C) 9.2 D) 0

Perform the indicated operation.371) 371)-12.8 + 2.2

A) -10.6 B) -15 C) 10.6 D) 15

372) 56

- -34

372)

A) -1912

B) 1912

C) -13

D) 112

373) 373)7(-1)(3)(-8)A) 12 B) 168 C) 31 D) -168

374) -12

-15

374)

A) 27

B) 25

C) 10 D) 110

375) -64.8-8

375)

A) -8.01 B) 8.1 C) -8.1 D) 8.01

Simplify the expression.376) 376)31 - 48 ÷ 6 · 5

A) -208 B) -54 C) -209 D) -9

377) (62 - 33) - [32 ÷ (-8)] 377)A) 5 B) 7 C) 23

8D) 13

378) 62 + (14 - 4)232 ÷ 4 - (6 + 1)

378)

A) 34 B) 136 C) 1950 D) 216

379) 379)-4x - 4(2x - 6) + 9A) -12x + 33 B) 4x + 33 C) -12x - 15 D) 12x - 15

380) 380)-4(2y - 5) - (4y - 10)A) 12y + 10 B) -12y + 10 C) -12y + 30 D) 4y + 30

58



381) 381)9x - [3 - 4(3x - 8)]A) -3x - 29 B) -3x - 35 C) 21x - 29 D) 21x - 35

Provide an appropriate response.382) 382)Plot (-2,-1) in a rectangular coordinate system.

A) B)

C) D)

59



383) Graph y = x2 - 3 in a rectangular coordinate system. 383)

A) B)

C) D)

Solve the equation. If the solution set is or (- , ), classify the equation as an inconsistent equation or an identity.384) 384)3(6x - 10) = -54 + 4(x - 8)

A) {4} B) {-4}C) ; inconsistent equation D) ( , ); identity

385) 5x + 330

=x - 1

6-

x - 830

385)

A) ( , ); identity B) {0}C) {6} D) ; inconsistent equation

60



386) 386)-6(x - 2) + 52 = 2x - 8(x - 9)A) {-20} B) {124}C) ( , ); identity D) ; inconsistent equation

Use the five-step strategy for solving word problems.387) 387)The sum of two numbers is 214. One number is 20 less than twice the other. Find the numbers.

A) 76 and 132 B) 76 and 138 C) 132 and 82 D) 78 and 136

388) 388)You bought a new car for $9597. Its value is decreasing by $1372 per year. After how many yearswill its value be $5481?

A) 1 year B) 3 years C) 5 years D) 4 years

389) 389)Sybil is having her yard landscaped. She obtained an estimate from two landscaping companies.Company A gave an estimate of $240 for materials and equipment rental plus $50 per hour forlabor. Company B gave and estimate of $360 for materials and equipment rental plus $35 per hourfor labor. Determine how many hours of labor will be required for the two companies to cost thesame.

A) 7 hours B) 12 hours C) 11 hours D) 8 hours

390) 390)After a 16% price reduction, a boat sold for $29,400. What was the boat's price before thereduction? Round to the nearest cent, if necessary.

A) $4704.00 B) $34,104.00 C) $35,000 D) $183,750.00

391) 391)The length of a rectangular garden exceeds the width by 8 feet. If the perimeter of the rectangle is28 feet, what are its dimensions?

A) 7 ft by 15 ft B) 6 ft by 14 ft C) 3 ft by8 ft D) 3 ft by 11 ft

Solve the formula for the specified variable.

392) V = 13

lwh for l 392)

A) l =V

3whB) l =

3Vwh

C) l = 3Vwh D) l = 3V - wh

393) 393)P = 2L + 2W for L

A) L =P - W

2B) L =

P - 2W2

C) L =P + 2W

2D) L = 2(P - 2W)

Simplify the exponential expression.394) (9x-2)(-5x-4) 394)

A) -45x6

B) 45x8 C) -45x8 D) -45x6

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395) (-2x6y-7)(5x-1y) 395)

A) -10x5y8 B) -10x7

y8C) -

10x5

y6D) -

10x7

y6

396) -8x-9y13

-56x-7y-5396)

A) x2y87

B) x2y187

C) y18

7x2D) y8

7x2

397) (4x-6y6)-1 397)

A) 4y6x6

B) -4x6

y6C) x6

4y6D) y7

4x7

398) 8x-5y4

2xy-4

-2398)

A) 4x12

y16B) x12y16

16C) x8

16y16D) x12

16y16

Provide an appropriate response.399) Write in decimal notation: 4.9 × 10-6. 399)

A) 0.000049 B) 0.00049 C) 0.00000049 D) 0.0000049

400) 400)Write in scientific notation: 11,800,000,000A) 1.18 × 1010 B) 1.18 × 109 C) 1.18 × 1011 D) 11.8 × 1010

401) Divide and write the answer in scientific notation: 3 × 10-8

12 × 10-5401)

A) 2.5 × 104 B) 0.25 × 10-3 C) 2.5 × 10-3 D) 2.5 × 10-4

402) Currently, the world population of a certain species is approximately 4.1 × 109. By someprojections, this population will be 3 times as big in 30 years. Express the population 30 yearsfrom now in scientific notation.

402)

A) 12.3 × 1010 B) 1.23 × 1020 C) 123 × 109 D) 1.23 × 1010

62



Answer KeyTestname: UNTITLED7

1) A2) D3) C4) A5) A6) D7) D8) B9) A

10) B11) C12) D13) B14) A15) A16) B17) B18) A19) B20) A21) B22) A23) A24) A25) B26) B27) A28) A29) A30) B31) D32) D33) A34) A35) B36) A37) B38) A39) B40) B41) B42) A

63




43) B44) B45) A46) B47) A48) A49) B50) B51) B52) A53) A54) A55) B56) B57) A58) B59) A60) A61) B62) B63) A64) B65) A66) B67) A68) B69) A70) B71) A72) B73) C74) D75) D76) D77) D78) D79) B80) C81) C82) C83) B84) A

64




85) D86) B87) A88) C89) D90) A91) B92) A93) A94) B95) C96) D97) A98) C99) D

100) D101) C102) A103) D104) D105) D106) A107) D108) B109) A110) A111) A112) C113) C114) D115) D116) B117) B118) C119) A120) A121) C122) B123) A124) A125) D126) C

65




127) A128) C129) A130) D131) D132) A133) D134) A135) B136) C137) C138) C139) A140) A141) B142) D143) D144) B145) D146) B147) D148) D149) B150) C151) A152) B153) B154) B155) B156) D157) B158) A159) B160) B161) D162) D163) D164) C165) A166) C167) C168) A

66




169) A170) C171) C172) D173) A174) B175) C176) C177) A178) C179) A180) C181) A182) C183) C184) D185) B186) B187) B188) B189) C190) A191) B192) C193) B194) B195) C196) C197) B198) A199) C200) A201) A202) C203) C204) B205) D206) C207) D208) B209) B210) D

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211) A212) D213) C214) D215) A216) C217) A218) C219) D220) B221) C222) A223) A224) A225) C226) C227) A228) D229) A230) C231) C232) D233) A234) A235) A236) C237) B238) B239) A240) C241) A242) A243) B244) C245) C246) B247) C248) D249) C250) B251) A252) B

68




253) C254) C255) A256) D257) A258) B259) D260) B261) D262) D263) A264) C265) B266) D267) C268) B269) B270) C271) B272) C273) B274) B275) D276) C277) A278) B279) A280) A281) C282) B283) C284) D285) D286) D287) A288) A289) D290) D291) C292) D293) B294) B

69




295) D296) B297) C298) B299) A300) C301) C302) B303) A304) B305) C306) A307) D308) A309) C310) C311) B312) A313) A314) A315) D316) C317) B318) D319) A320) B321) D322) D323) A324) B325) D326) A327) B328) D329) C330) C331) A332) C333) A334) C335) B336) D

70




337) B338) D339) C340) D341) C342) C343) C344) D345) C346) B347) C348) D349) B350) D351) A352) A353) C354) B355) D356) D357) B358) A359) B360) C361) C362) C363) A364) B365) A366) B367) A368) A369) A370) C371) A372) B373) B374) D375) B376) D377) D378) B

71




379) A380) C381) D382) C383) B384) B385) B386) D387) D388) B389) D390) C391) D392) B393) B394) A395) C396) C397) C398) D399) D400) A401) D402) D

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