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A2_chp01

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 
 
To which set of numbers does the number belong?
 

 1. 

–55              
a.
natural numbers
b.
whole numbers
c.
integers
d.
irrational numbers
 

 2. 

mc002-1.jpg
a.
integers
b.
rational numbers
c.
irrational numbers
d.
natural numbers
 

 3. 

The formula 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
 
 
Graph the number on a number line.
 

 4. 

mc004-1.jpg    
a.
mc004-2.jpg
c.
mc004-4.jpg
b.
mc004-3.jpg
d.
mc004-5.jpg
 

 5. 

mc005-1.jpg             
a.
mc005-2.jpg
c.
mc005-4.jpg
b.
mc005-3.jpg
d.
mc005-5.jpg
 
 
Insert <, >, or = to make the sentence true.
 

 6. 

mc006-1.jpgmc006-2.jpgmc006-3.jpg           
a.
>
b.
<
c.
=
 

 7. 

mc007-1.jpgmc007-2.jpgmc007-3.jpg              
a.
>
b.
=
c.
<
 

 8. 

mc008-1.jpgmc008-2.jpgmc008-3.jpg                
a.
>
b.
<
c.
=
 
 
Name the property of real numbers illustrated by the equation.
 

 9. 

mc009-1.jpg
a.
Closure Property
b.
Commutative Property of Multiplication
c.
Commutative Property of Addition
d.
Associative Property of Addition
 
 
Evaluate the expression for the given value of the variable(s).
 

 10. 

mc010-1.jpg; mc010-2.jpg, mc010-3.jpg
a.
–55
b.
55
c.
5
d.
–5
 

 11. 

mc011-1.jpg
a.
mc011-2.jpg
b.
mc011-3.jpg
c.
mc011-4.jpg
d.
mc011-5.jpg
 

 12. 

mc012-1.jpg; b = 2
a.
19
b.
17
c.
–11
d.
21
 
 
Combine like terms.  What is a simpler form of each expression?
 

 13. 

mc013-1.jpg
a.
mc013-2.jpg
b.
mc013-3.jpg
c.
mc013-4.jpg
d.
mc013-5.jpg
 

 14. 

mc014-1.jpg
a.
mc014-2.jpg
b.
mc014-3.jpg
c.
mc014-4.jpg
d.
mc014-5.jpg
 
 
What is the solution of the following one-step equation?
 

 15. 

mc015-1.jpg
a.
–1.3
b.
–0.4
c.
0.77
d.
–0.77
 
 
Solve the equation.
 

 16. 

0.125r mc016-1.jpg 0.0625 + 0.25r = 0.25 + r
a.
–0.28
b.
0.23
c.
–0.5
d.
–0.3
 
 
Use an algebraic equation to solve the problem.
 

 17. 

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
 
 
Is the following always, sometimes, or never true?
 

 18. 

mc018-1.jpg   
a.
always
b.
sometimes
c.
never
 
 
Solve the equation or formula for the indicated variable.
 

 19. 

mc019-1.jpg, for t
a.
mc019-2.jpg
b.
mc019-3.jpg
c.
mc019-4.jpg
d.
mc019-5.jpg
 
 
What inequality represents the sentence?
 

 20. 

14 fewer than a number is at least –8
a.
mc020-1.jpg
c.
mc020-3.jpg
b.
mc020-2.jpg
d.
mc020-4.jpg
 
 
Solve the inequality. Graph the solution set.
 

 21. 

2r – 9 ³ –6
a.
r £ mc021-1.jpg
mc021-2.jpg
c.
r ³ mc021-5.jpg
mc021-6.jpg
b.
r ³ mc021-3.jpg
mc021-4.jpg
d.
r £ mc021-7.jpg
mc021-8.jpg
 
 
Is the inequality sometimes, always, or never true?
 

 22. 

mc022-1.jpg
a.
always
b.
sometimes
c.
never
 

 23. 

mc023-1.jpg
a.
always
b.
sometimes
c.
never
 
 
Solve the compound inequality. Graph the solution.
 

 24. 

4x – 5 < –17 or 5x + 6 > 31
a.
x < –3 or x > 5
mc024-1.jpg
c.
x < –3 or x > mc024-5.jpg
mc024-6.jpg
b.
x < mc024-2.jpg or x > mc024-3.jpg
mc024-4.jpg
d.
x < mc024-7.jpg or x > 5
mc024-8.jpg
 

 25. 

mc025-1.jpg
a.
mc025-2.jpgmc025-3.jpg
c.
mc025-6.jpg
mc025-7.jpg
b.
mc025-4.jpg
mc025-5.jpg
d.
mc025-8.jpg
mc025-9.jpg
 
 
Solve the absolute value equation.  Graph the solution.
 

 26. 

mc026-1.jpg
a.
x = mc026-2.jpg or x = mc026-3.jpg
mc026-4.jpg
c.
x = mc026-8.jpg or x = mc026-9.jpg
mc026-10.jpg
b.
x = mc026-5.jpg or x = mc026-6.jpg
mc026-7.jpg
d.
x = mc026-11.jpg or x = mc026-12.jpg
mc026-13.jpg
 

 27. 

mc027-1.jpg
a.
x = mc027-2.jpg or x = mc027-3.jpg
mc027-4.jpg
c.
x = mc027-8.jpg or x = mc027-9.jpg
mc027-10.jpg
b.
x = mc027-5.jpg or x = mc027-6.jpg
mc027-7.jpg
d.
x = mc027-11.jpg or x = mc027-12.jpg
mc027-13.jpg
 
 
Solve the equation. Check for extraneous solutions.
 

 28. 

mc028-1.jpg;
a.
x = mc028-2.jpg or x = mc028-3.jpg
c.
x = mc028-5.jpg
b.
x = mc028-4.jpg
d.
x = mc028-6.jpg or x = mc028-7.jpg
 
 
Solve the inequality. Graph the solution.
 

 29. 

mc029-1.jpg
a.
mc029-2.jpg
mc029-3.jpg
c.
mc029-6.jpg
mc029-7.jpg
b.
mc029-4.jpg
mc029-5.jpg
d.
mc029-8.jpg
mc029-9.jpg
 

 30. 

mc030-1.jpg
a.
–18 mc030-2.jpg x mc030-3.jpg 8
mc030-4.jpg
c.
–36 mc030-8.jpg x mc030-9.jpg 16
mc030-10.jpg
b.
–18 mc030-5.jpg x mc030-6.jpg 8
mc030-7.jpg
d.
mc030-11.jpg
mc030-12.jpg
 

 31. 

mc031-1.jpg
a.
mc031-2.jpg
mc031-3.jpg
c.
mc031-6.jpg
mc031-7.jpg
b.
mc031-4.jpg
mc031-5.jpg
d.
mc031-8.jpg
mc031-9.jpg
 

 32. 

A furniture maker uses the specification mc032-1.jpg for the width w in inches of a desk drawer. Write the specification as an absolute value inequality. 
a.
mc032-2.jpg
c.
mc032-4.jpg
b.
mc032-3.jpg
d.
mc032-5.jpg
 

 33. 

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.
a.
mc033-1.jpg; mc033-2.jpg
c.
mc033-5.jpg; mc033-6.jpg
b.
mc033-3.jpg; mc033-4.jpg
d.
mc033-7.jpg; mc033-8.jpg
 



 
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