Question 1

Simplify.
-$$\frac { 1 } { 3 } - \frac { 13 } { 42 } + \frac { 4 } { 21 } - \frac { 5 } { 42 }$$

Accepted Answer

A)  $\frac { 2 } { 21 }$ 
B)  $\frac { 20 } { 21 }$ 
C)  $\frac { 1 } { 42 }$ 
D)  $\frac { 1 } { 21 }$ 
A)  $\frac { 2 } { 21 }$ 
B)  $\frac { 20 } { 21 }$ 
C)  $\frac { 1 } { 42 }$ 
D)  $\frac { 1 } { 21 }$

Question 2

Subtract.
--19 - (-14)

Accepted Answer

A) -33 
B) 5 
C) -5 
D) 33 
A) -33 
B) 5 
C) -5 
D) 33

Question 3

Simplify.
-$\frac { 14 m n } { 10 n }$

Accepted Answer

A)  $\frac { 14 \mathrm {~m} } { 10 }$ 
B)  $\frac { 7 } { 5 } \mathrm {~m}$ 
C)  $- \frac { 5 } { 7 } n$ 
D)  $\frac { 2 } { 5 } m$ 
A)  $\frac { 14 \mathrm {~m} } { 10 }$ 
B)  $\frac { 7 } { 5 } \mathrm {~m}$ 
C)  $- \frac { 5 } { 7 } n$ 
D)  $\frac { 2 } { 5 } m$

Question 4

List the terms of the expression.
--1 + 6r - 4rt

Accepted Answer

A) -1, 6r, -4r, t 
B) 1, 6r, 4rt 
C) -1, 6r, -4rt 
D) -1, 6r, 4rt 
A) -1, 6r, -4r, t 
B) 1, 6r, 4rt 
C) -1, 6r, -4rt 
D) -1, 6r, 4rt

Question 5

Add. Do not use a number line except as a check.
--9 + 8

Accepted Answer

A) 17 
B) -1 
C) 1 
D) -17 
A) 17 
B) -1 
C) 1 
D) -17

Question 6

State the real number that corresponds to the situation.
-$- \frac { 17 } { 10 }$

Accepted Answer

A)  $- 1 . \overline { 7 }$ 
B)  $- 1.7$ 
C)  $- 0.17$ 
D)  $- 3.4$ 
A)  $- 1 . \overline { 7 }$ 
B)  $- 1.7$ 
C)  $- 0.17$ 
D)  $- 3.4$

Question 7

Insert  to write a true statement.
-

Accepted Answer

A) - 9.01 > - 9.07 B) $- 9.01 < - 9.07$ A) - 9.01 > - 9.07 B) $- 9.01 < - 9.07$

Question 8

Evaluate -(-x) for the given value of x.
-x = -0.561

Accepted Answer

A) -1 
B) 0.561 
C) -0.561 
D) 0 
A) -1 
B) 0.561 
C) -0.561 
D) 0

Question 9

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
-x(y2)as 2(xy)

Accepted Answer

@#LAT-DLM& Using the associati

Question 10

Solve the problem.
-In Smithville, there were 232 teachers in 1990 and 320 teachers in 2000. Find the percent of increase in the number of teachers in Smithville during this time period. Round to the nearest tenth of a percent.

Accepted Answer

A) 37.9% 
B) 41.7% 
C) 27.5% 
D) 45.5% 
A) 37.9% 
B) 41.7% 
C) 27.5% 
D) 45.5%

Question 11

Multiply.
-3(x + 6)

Accepted Answer

A) 3x + 3 
B) 3x + 18 
C) 3x + 6 
D) 18x 
A) 3x + 3 
B) 3x + 18 
C) 3x + 6 
D) 18x

Question 12

Simplify.
-$\frac { 3 a } { 5 a b }$

Accepted Answer

A)  $\frac { 3 b } { 5 }$ 
B)  $\frac { 3 a } { 5 }$ 
C)  $\frac { 3 } { 5 b }$ 
D)  $\frac { 1 } { 5 \mathrm {~b} }$ 
A)  $\frac { 3 b } { 5 }$ 
B)  $\frac { 3 a } { 5 }$ 
C)  $\frac { 3 } { 5 b }$ 
D)  $\frac { 1 } { 5 \mathrm {~b} }$

Question 13

Subtract.
--3.8 - (-4.9)

Accepted Answer

A) -8.7 
B) -1.1 
C) 1.1 
D) 8.7 
A) -8.7 
B) -1.1 
C) 1.1 
D) 8.7

Question 14

Collect like terms.
-$- 9 z - ( - 7 z )$

Accepted Answer

A)  $- 2 z ^ { 2 }$ 
B)  $- 16 z$ 
C)  $2 z$ 
D)  $- 2 z$ 
A)  $- 2 z ^ { 2 }$ 
B)  $- 16 z$ 
C)  $2 z$ 
D)  $- 2 z$

Question 15

Subtract.
--10 - 5

Accepted Answer

A) -5 
B) 15 
C) 5 
D) -15 
A) -5 
B) 15 
C) 5 
D) -15

Question 16

Add. Do not use a number line except as a check.
--18 + (-39)+ 31 + (-85)

Accepted Answer

A) 59 
B) -75 
C) -111 
D) -173 
A) 59 
B) -75 
C) -111 
D) -173

Question 17

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
-(z4)8 as 32z

Accepted Answer

\[\begin{array} { l l } 
\text { (z4)8 }

Question 18

Add. Do not use a number line except as a check.
--1.7 + 6.8

Accepted Answer

A) 8.5 
B) -5.1 
C) -8.5 
D) 5.1 
A) 8.5 
B) -5.1 
C) -8.5 
D) 5.1

Question 19

Evaluate -(-x) for the given value of x.
-$$x = - \frac { 29 } { 48 }$$

Accepted Answer

A)  $- \frac { 48 } { 29 }$ 
B)  $- \frac { 29 } { 48 }$ 
C)  $\frac { 48 } { 29 }$ 
D)  $\frac { 29 } { 48 }$ 
A)  $- \frac { 48 } { 29 }$ 
B)  $- \frac { 29 } { 48 }$ 
C)  $\frac { 48 } { 29 }$ 
D)  $\frac { 29 } { 48 }$

Question 20

Evaluate -(-x) for the given value of x.
-$$x = - 59$$

Accepted Answer

A)  $- \frac { 1 } { 59 }$ 
B)  0 
C)  59 
D)  $- 59$ 
A)  $- \frac { 1 } { 59 }$ 
B)  0 
C)  59 
D)  $- 59$

Simplify. - $\frac { 1 } { 3 } - \frac { 13 } { 42 } + \frac { 4 } { 21 } - \frac { 5 } { 42 }$

Subtract. --19 - (-14)

Simplify. - $\frac { 14 m n } { 10 n }$

List the terms of the expression. --1 + 6r - 4rt

Add. Do not use a number line except as a check. --9 + 8

State the real number that corresponds to the situation. - $- \frac { 17 } { 10 }$

Insert < or > to write a true statement. -

Evaluate -(-x) for the given value of x. -x = -0.561

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. -x(y2)as 2(xy)

Solve the problem. -In Smithville, there were 232 teachers in 1990 and 320 teachers in 2000. Find the percent of increase in the number of teachers in Smithville during this time period. Round to the nearest tenth of a percent.

Multiply. -3(x + 6)

Simplify. - $\frac { 3 a } { 5 a b }$

Subtract. --3.8 - (-4.9)

Collect like terms. - $- 9 z - ( - 7 z )$

Subtract. --10 - 5

Add. Do not use a number line except as a check. --18 + (-39)+ 31 + (-85)

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. -(z4)8 as 32z

Add. Do not use a number line except as a check. --1.7 + 6.8

Evaluate -(-x) for the given value of x. - $x = - \frac { 29 } { 48 }$

Evaluate -(-x) for the given value of x. - $x = - 59$

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Exam 1: Introduction to Real Numbers and Algebraic Expressions

Simplify. - 13−1342+421−542\frac { 1 } { 3 } - \frac { 13 } { 42 } + \frac { 4 } { 21 } - \frac { 5 } { 42 }31​−4213​+214​−425​