Question 1

Evaluate -(-x) for the given value of x.
-x = 33

Accepted Answer

A)  $\frac { 1 } { 33 }$ 
B)  $- 33$ 
C)  0 
D)  33 
A)  $\frac { 1 } { 33 }$ 
B)  $- 33$ 
C)  0 
D)  33

Question 2

Translate the phrase to an algebraic expression.
-Nine less than x

Accepted Answer

A) 9 - x 
B) x - 9 
C) $\frac { 9 } { x }$ 
D) 9x 
A) 9 - x 
B) x - 9 
C) $\frac { 9 } { x }$ 
D) 9x

Question 3

Provide an appropriate response.
-Choose the expression that is equivalent to the following: $( 7 x + 4 y ) \left( 9 y ^ { 3 } \right)$

Accepted Answer

A)  $7 x + \left( 4 y + 9 y ^ { 3 } \right)$ 
B)  $\left( 9 y ^ { 3 } \right) ( 7 x + 4 y )$ 
C)  $\left( 7 x + 9 y ^ { 3 } \right) ( 4 y )$ 
D)  $( 7 x ) + ( 4 y ) \left( 9 y ^ { 3 } \right)$ 
A)  $7 x + \left( 4 y + 9 y ^ { 3 } \right)$ 
B)  $\left( 9 y ^ { 3 } \right) ( 7 x + 4 y )$ 
C)  $\left( 7 x + 9 y ^ { 3 } \right) ( 4 y )$ 
D)  $( 7 x ) + ( 4 y ) \left( 9 y ^ { 3 } \right)$

Question 4

Add. Do not use a number line except as a check.
-$$- \frac { 5 } { 9 } + \left( - \frac { 4 } { 9 } \right)$$

Accepted Answer

A)  1 
B)  $- 1$ 
C)  $\frac { 1 } { 9 }$ 
D)  $- \frac { 1 } { 9 }$ 
A)  1 
B)  $- 1$ 
C)  $\frac { 1 } { 9 }$ 
D)  $- \frac { 1 } { 9 }$

Question 5

Evaluate -x for the given value of x.
-x = 0

Accepted Answer

A) 0 
B) -1 
C) 1 
D) -7 
A) 0 
B) -1 
C) 1 
D) -7

Question 6

Provide an appropriate response.
-There is a distributive property for multiplication with respect to addition: a(b + c)= ab + ac. Is there a distributive property for division with respect to subtraction? If so, state the property.

Accepted Answer

A) True 
 B)False

Question 7

Subtract.
-8 - 12

Accepted Answer

A) 20 
B) -4 
C) -20 
D) 4 
A) 20 
B) -4 
C) -20 
D) 4

Question 8

Graph the numbers on a number line.
-$$- 4 \frac { 2 } { 3 } , - 2,0,2 \frac { 2 } { 3 }$$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 9

Divide, if possible.
-$\frac { 0 } { - 49 }$

Accepted Answer

A)  0 
B)  Not defined 
C)  49 
D)  1 
A)  0 
B)  Not defined 
C)  49 
D)  1

Question 10

Find the opposite, or additive inverse.
-$- \frac { 1 } { 3 }$

Accepted Answer

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

Question 11

Translate the phrase to an algebraic expression.
-Twice x

Accepted Answer

A) 3 + x 
B) 3x 
C) 2x 
D) 2 + x 
A) 3 + x 
B) 3x 
C) 2x 
D) 2 + x

Question 12

Divide.
-$\frac { 2 } { 9 } \div \left( - \frac { 9 } { 4 } \right)$

Accepted Answer

A)  $- \frac { 8 } { 81 }$ 
B)  $- \frac { 81 } { 8 }$ 
C)  $- \frac { 1 } { 2 }$ 
D)  $- 2$ 
A)  $- \frac { 8 } { 81 }$ 
B)  $- \frac { 81 } { 8 }$ 
C)  $- \frac { 1 } { 2 }$ 
D)  $- 2$

Question 13

Write an inequality with the same meaning.
-$$26 < 28$$

Accepted Answer

A) $28 \geq 26$ B) $28 > 26$ C) $26 > 28$ D) $28 < 26$ A) $28 \geq 26$ B) $28 > 26$ C) $26 > 28$ D) $28 < 26$

Question 14

Solve the problem.
-The temperature at the South pole was 49° at 8 am. At 3 pm, it was -43°. By how many degrees did the temperature drop?

Accepted Answer

A) -92° 
B) -6° 
C) 6° 
D) 92° 
A) -92° 
B) -6° 
C) 6° 
D) 92°

Question 15

List the terms of the expression.
--6 + 6a - 6b

Accepted Answer

A) -6, 6, a, -6, b 
B) -6, 6a, -6b 
C) 6a, 6b 
D) 6, 6a, 6b 
A) -6, 6, a, -6, b 
B) -6, 6a, -6b 
C) 6a, 6b 
D) 6, 6a, 6b

Question 16

Collect like terms.
-$$- 2 \mathrm {~b} + 6 \mathrm {~b}$$

Accepted Answer

A)  $- 8 b$ 
B)  $- 4 b$ 
C)  $4 b ^ { 2 }$ 
D)  $4 \mathrm {~b}$ 
A)  $- 8 b$ 
B)  $- 4 b$ 
C)  $4 b ^ { 2 }$ 
D)  $4 \mathrm {~b}$

Question 17

List the terms of the expression.
--6 + 6m + 7mn

Accepted Answer

A) -6, 6m, 7m, n 
B) -6, 6m, 7mn 
C) 6m, 7mn 
D) -6, 6m, 7m, 7n 
A) -6, 6m, 7m, n 
B) -6, 6m, 7mn 
C) 6m, 7mn 
D) -6, 6m, 7m, 7n

Question 18

Subtract.
-$\frac { 2 } { 9 } - \left( - \frac { 3 } { 4 } \right)$

Accepted Answer

A)  $- \frac { 35 } { 36 }$ 
B)  $- \frac { 19 } { 36 }$ 
C)  $- \frac { 1 } { 9 }$ 
D)  $\frac { 35 } { 36 }$ 
A)  $- \frac { 35 } { 36 }$ 
B)  $- \frac { 19 } { 36 }$ 
C)  $- \frac { 1 } { 9 }$ 
D)  $\frac { 35 } { 36 }$

Question 19

Write an equivalent expression. Use an associative law.
-$$( 8 + u ) + v$$

Accepted Answer

A)  $( 8 + v ) + u$ 
B)  $v + ( 8 + u )$ 
C)  $8 + ( \mathrm { u } + \mathrm { v } )$ 
D)  $( u + 8 ) + v$ 
A)  $( 8 + v ) + u$ 
B)  $v + ( 8 + u )$ 
C)  $8 + ( \mathrm { u } + \mathrm { v } )$ 
D)  $( u + 8 ) + v$

Question 20

Add. Do not use a number line except as a check.
-8.3 + (-3.7)

Accepted Answer

A) 8.3 
B) 12 
C) -12 
D) 4.6 
A) 8.3 
B) 12 
C) -12 
D) 4.6

Evaluate -(-x) for the given value of x. -x = 33

Translate the phrase to an algebraic expression. -Nine less than x

Provide an appropriate response. -Choose the expression that is equivalent to the following: $( 7 x + 4 y ) \left( 9 y ^ { 3 } \right)$

Add. Do not use a number line except as a check. - $- \frac { 5 } { 9 } + \left( - \frac { 4 } { 9 } \right)$

Evaluate -x for the given value of x. -x = 0

Provide an appropriate response. -There is a distributive property for multiplication with respect to addition: a(b + c)= ab + ac. Is there a distributive property for division with respect to subtraction? If so, state the property.

Subtract. -8 - 12

Graph the numbers on a number line. - $- 4 \frac { 2 } { 3 } , - 2,0,2 \frac { 2 } { 3 }$ $Graph the numbers on a number line. - - 4 \frac { 2 } { 3 } , - 2,0,2 \frac { 2 } { 3 }$

Divide, if possible. - $\frac { 0 } { - 49 }$

Find the opposite, or additive inverse. - $- \frac { 1 } { 3 }$

Translate the phrase to an algebraic expression. -Twice x

Divide. - $\frac { 2 } { 9 } \div \left( - \frac { 9 } { 4 } \right)$

Write an inequality with the same meaning. - $26 < 28$

Solve the problem. -The temperature at the South pole was 49° at 8 am. At 3 pm, it was -43°. By how many degrees did the temperature drop?

List the terms of the expression. --6 + 6a - 6b

Collect like terms. - $- 2 \mathrm {~b} + 6 \mathrm {~b}$

List the terms of the expression. --6 + 6m + 7mn

Subtract. - $\frac { 2 } { 9 } - \left( - \frac { 3 } { 4 } \right)$

Write an equivalent expression. Use an associative law. - $( 8 + u ) + v$

Add. Do not use a number line except as a check. -8.3 + (-3.7)

Solving Equations and Inequalities

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Exam 1: Introduction to Real Numbers and Algebraic Expressions