Multiple Choice Identify the
choice that best completes the statement or answers the question.
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To which set of numbers does the number belong?
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1.
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–55
a. | natural numbers | b. | whole numbers | c. | integers | d. | irrational
numbers |
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2.
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a. | integers | b. | rational numbers | c. | irrational
numbers | d. | natural numbers |
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3.
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The formula ![mc003-1.jpg](algebra2_ch01_files/mc003-1.jpg) relates the speed S in miles per hour a car
was traveling to the length d in feet that the car skidded when brakes were applied. The
variable f is the coefficient of friction, which varies depending on the road surface and the
condition of the tires. Which set of numbers contains the value of S for f = 0.5 and
d = 63?
a. | integers | b. | whole numbers | c. | rational
numbers | d. | irrational numbers |
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Graph the number on a number line.
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4.
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5.
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Insert <, >, or = to make the sentence true.
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6.
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7.
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8.
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Name the property of real numbers illustrated by the equation.
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9.
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a. | Closure Property | b. | Commutative Property of
Multiplication | c. | Commutative Property of Addition | d. | Associative Property of
Addition |
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Evaluate the expression for the given value of the variable(s).
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10.
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11.
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12.
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![mc012-1.jpg](algebra2_ch01_files/mc012-1.jpg) ; b = 2
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Combine like terms. What is a simpler form of each
expression?
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13.
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14.
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What is the solution of the following one-step equation?
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15.
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a. | –1.3 | b. | –0.4 | c. | 0.77 | d. | –0.77 |
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Solve the equation.
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16.
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0.125 r ![mc016-1.jpg](algebra2_ch01_files/mc016-1.jpg) 0.0625 + 0.25 r = 0.25 + r
a. | –0.28 | b. | 0.23 | c. | –0.5 | d. | –0.3 |
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Use an algebraic equation to solve the problem.
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17.
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Two cars leave Denver at the same time and travel in opposite directions. One
car travels 10 mi/h faster than the other car. The cars are 300 mi apart in 3 h. How fast is each car
traveling?
a. | 35 mi/h and 45 mi/h | c. | 45 mi/h and 55 mi/h | b. | 55 mi/h and 35 mi/h | d. | 55 mi/h and 65
mi/h |
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Is the following always, sometimes, or never
true?
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18.
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a. | always | b. | sometimes | c. | never |
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Solve the equation or formula for the indicated variable.
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19.
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![mc019-1.jpg](algebra2_ch01_files/mc019-1.jpg) , for t
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What inequality represents the sentence?
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20.
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14 fewer than a number is at least –8
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Solve the inequality. Graph the solution set.
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21.
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2r – 9 ³ –6
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Is the inequality sometimes, always, or never
true?
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22.
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a. | always | b. | sometimes | c. | never |
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23.
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a. | always | b. | sometimes | c. | never |
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Solve the compound inequality. Graph the solution.
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24.
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4x – 5 < –17 or 5x + 6 > 31
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25.
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Solve the absolute value equation. Graph the solution.
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26.
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27.
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Solve the equation. Check for extraneous solutions.
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28.
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![mc028-1.jpg](algebra2_ch01_files/mc028-1.jpg) ;
a. | x = or x = ![mc028-3.jpg](algebra2_ch01_files/mc028-3.jpg) | c. | x = ![mc028-5.jpg](algebra2_ch01_files/mc028-5.jpg) | b. | x = ![mc028-4.jpg](algebra2_ch01_files/mc028-4.jpg) | d. | x = or x = ![mc028-7.jpg](algebra2_ch01_files/mc028-7.jpg) |
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Solve the inequality. Graph the solution.
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29.
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30.
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31.
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32.
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A furniture maker uses the specification ![mc032-1.jpg](algebra2_ch01_files/mc032-1.jpg) for the width
w in inches of a desk drawer. Write the specification as an absolute value inequality.
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33.
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When Spheres-R-Us ships bags of golf balls, the number of balls in each bag must
be within 6 balls of 300. Write a compound inequality and an absolute value inequality for an
acceptable number of golf balls b in each bag.
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