Question 1

Write an equivalent expression. Use an associative law.
-a + (b + 2)

Accepted Answer

A) (b + 2)+ a 
B) a(b + 2) 
C) a + (2 + b) 
D) (a + b)+ 2 
A) (b + 2)+ a 
B) a(b + 2) 
C) a + (2 + b) 
D) (a + b)+ 2

Question 2

Multiply.
-$\left( \frac { 10 } { 17 } \right) \left( - \frac { 11 } { 16 } \right) \left( \frac { 2 } { 5 } \right)$

Accepted Answer

A)  $- \frac { 55 } { 136 }$ 
B)  $\frac { 1 } { 544 }$ 
C)  $- \frac { 11 } { 68 }$ 
D)  $= \frac { 13 } { 19 }$ 
A)  $- \frac { 55 } { 136 }$ 
B)  $\frac { 1 } { 544 }$ 
C)  $- \frac { 11 } { 68 }$ 
D)  $= \frac { 13 } { 19 }$

Question 3

Simplify.
-(-5 - 2)[3 + (8 + 2)]

Accepted Answer

A) -91 
B) 16 
C) 20 
D) -31 
A) -91 
B) 16 
C) 20 
D) -31

Question 4

Solve the problem.
-If a garage charges $27 for an oil change, how much will it take in if oil is changed on 21 cars?

Accepted Answer

A) $567 
B) $48 
C) $57 
D) $576 
A) $567 
B) $48 
C) $57 
D) $576

Question 5

Subtract.
-0 - 22

Accepted Answer

A) 22 
B) 0 
C) -22 
D) 1 22 
A) 22 
B) 0 
C) -22 
D) 1 22

Question 6

State the real number that corresponds to the situation.
-$- \frac { 19 } { 40 }$

Accepted Answer

A)  $- 0.48$ 
B)  $- 0.4 \overline { 75 }$ 
C)  $- 0.47 \overline { 5 }$ 
D)  $- 0.475$ 
A)  $- 0.48$ 
B)  $- 0.4 \overline { 75 }$ 
C)  $- 0.47 \overline { 5 }$ 
D)  $- 0.475$

Question 7

Factor. Check by multiplying.
-$$\frac { 1 } { 8 } x - \frac { 11 } { 8 } y + \frac { 7 } { 8 }$$

Accepted Answer

A)  $8 ( x - 11 y + 7 )$ 
B)  $\frac { 1 } { 8 } \left( x - \frac { 11 } { 8 } y + \frac { 7 } { 8 } \right)$ 
C)  $\frac { 1 } { 8 } ( x - 11 y + 7 )$ 
D)  $\frac { 1 } { 8 } ( x + 11 y - 7 )$ 
A)  $8 ( x - 11 y + 7 )$ 
B)  $\frac { 1 } { 8 } \left( x - \frac { 11 } { 8 } y + \frac { 7 } { 8 } \right)$ 
C)  $\frac { 1 } { 8 } ( x - 11 y + 7 )$ 
D)  $\frac { 1 } { 8 } ( x + 11 y - 7 )$

Question 8

Is this statement true or false? Why?
(2 - 2)- 2 = 2 - (2 - 2)

Accepted Answer

A) True 
 B)False

Question 9

Find the reciprocal, if it exists.
-$- \frac { 3 } { 5 }$

Accepted Answer

A)  $\frac { 3 } { 5 }$ 
B)  $\frac { 5 } { 3 }$ 
C)  1 
D)  $- \frac { 5 } { 3 }$ 
A)  $\frac { 3 } { 5 }$ 
B)  $\frac { 5 } { 3 }$ 
C)  1 
D)  $- \frac { 5 } { 3 }$

Question 10

Substitute to find the value of the expression.
-Mary earns three times as much per week as Maureen. If x represents the amount that Maureen earns per week, then $3 x$ represents the amount that Mary earns per week. How much does Mary earn per week if Maureen earns $\$ 349$ per week?

Accepted Answer

A)  $\$ 1047$ 
B)  $\$ 352$ 
C)  $\$ 116.33$ 
D)  $\$ 346$ 
A)  $\$ 1047$ 
B)  $\$ 352$ 
C)  $\$ 116.33$ 
D)  $\$ 346$

Question 11

Simplify.
-[3(x - 4)- 3] + [9(x - 1)+ 9]

Accepted Answer

A) 12x - 15 
B) 12x - 3 
C) 12x - 7 
D) 3x - 24 
A) 12x - 15 
B) 12x - 3 
C) 12x - 7 
D) 3x - 24

Question 12

Determine whether the statement is true or false.
--25 > -14

Accepted Answer

A) True 
 B)False

Question 13

State the real number that corresponds to the situation.
-$\frac { 2 } { 15 }$

Accepted Answer

A)  $0.1 \overline { 3 }$ 
B)  $0.1$ 
C)  $0 . \overline { 1 }$ 
D)  $7.5 \overline { 0 }$ 
A)  $0.1 \overline { 3 }$ 
B)  $0.1$ 
C)  $0 . \overline { 1 }$ 
D)  $7.5 \overline { 0 }$

Question 14

Add. Do not use a number line except as a check.
--2.6 + (-6.8)+ (-5.6)+ 10

Accepted Answer

A) 8.6 
B) -5 
C) 6.2 
D) -11.4 
A) 8.6 
B) -5 
C) 6.2 
D) -11.4

Question 15

Insert  to write a true statement.
-

Accepted Answer

A) $\frac { 14 } { 22 } > \frac { 2 } { 3 }$ B) $\frac { 14 } { 22 } < \frac { 2 } { 3 }$ A) $\frac { 14 } { 22 } > \frac { 2 } { 3 }$ B) $\frac { 14 } { 22 } < \frac { 2 } { 3 }$

Question 16

Add. Do not use a number line except as a check.
--8.1 + (-7.9)

Accepted Answer

A) -16 
B) 16 
C) -0.2 
D) 0.2 
A) -16 
B) 16 
C) -0.2 
D) 0.2

Question 17

Multiply.
-34 · (-4.41)

Accepted Answer

A) 38.51 
B) 29.59 
C) -149.94 
D) 38.41 
A) 38.51 
B) 29.59 
C) -149.94 
D) 38.41

Question 18

Subtract.
-0.91 - (-7.118)

Accepted Answer

A) 8.128 
B) 6.477 
C) 6.208 
D) 8.028 
A) 8.128 
B) 6.477 
C) 6.208 
D) 8.028

Question 19

Evaluate -(-x) for the given value of x.
-$$x = 1.46$$

Accepted Answer

A)  $\frac { 146 } { 10 }$ 
B)  146 
C)  $- 1.46$ 
D)  $1.46$ 
A)  $\frac { 146 } { 10 }$ 
B)  146 
C)  $- 1.46$ 
D)  $1.46$

Question 20

Subtract.
-$\frac { 1 } { 5 } - \frac { 2 } { 5 }$

Accepted Answer

A)  $\frac { 3 } { 5 }$ 
B)  $- \frac { 3 } { 5 }$ 
C)  $\frac { 1 } { 5 }$ 
D)  $- \frac { 1 } { 5 }$ 
A)  $\frac { 3 } { 5 }$ 
B)  $- \frac { 3 } { 5 }$ 
C)  $\frac { 1 } { 5 }$ 
D)  $- \frac { 1 } { 5 }$

Write an equivalent expression. Use an associative law. -a + (b + 2)

Multiply. - $\left( \frac { 10 } { 17 } \right) \left( - \frac { 11 } { 16 } \right) \left( \frac { 2 } { 5 } \right)$

Simplify. -(-5 - 2)[3 + (8 + 2)]

Solve the problem. -If a garage charges $27 for an oil change, how much will it take in if oil is changed on 21 cars?

Subtract. -0 - 22

State the real number that corresponds to the situation. - $- \frac { 19 } { 40 }$

Factor. Check by multiplying. - $\frac { 1 } { 8 } x - \frac { 11 } { 8 } y + \frac { 7 } { 8 }$

Is this statement true or false? Why? (2 - 2)- 2 = 2 - (2 - 2)

Find the reciprocal, if it exists. - $- \frac { 3 } { 5 }$

Substitute to find the value of the expression. -Mary earns three times as much per week as Maureen. If x represents the amount that Maureen earns per week, then $3 x$ represents the amount that Mary earns per week. How much does Mary earn per week if Maureen earns $\$ 349$ per week?

Simplify. -[3(x - 4)- 3] + [9(x - 1)+ 9]

Determine whether the statement is true or false. --25 > -14

State the real number that corresponds to the situation. - $\frac { 2 } { 15 }$

Add. Do not use a number line except as a check. --2.6 + (-6.8)+ (-5.6)+ 10

Insert < or > to write a true statement. -

Add. Do not use a number line except as a check. --8.1 + (-7.9)

Multiply. -34 · (-4.41)

Subtract. -0.91 - (-7.118)

Evaluate -(-x) for the given value of x. - $x = 1.46$

Subtract. - $\frac { 1 } { 5 } - \frac { 2 } { 5 }$

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Exam 1: Introduction to Real Numbers and Algebraic Expressions