Question 1

Use a calculator to approximate the square root. Round to three decimal places.
-$\sqrt { 56 }$

Accepted Answer

A)   7.483 
B)   56.000 
C)   7.480 
D)   7.488 
A)   7.483 
B)   56.000 
C)   7.480 
D)   7.488

Question 2

Multiply or divide as indicated.
- 7.2$\frac { \pi } { \pi }$ (-1.8)

Accepted Answer

A)  40 
B)   -4 
C)   -0.4 
D)  4 
A)  40 
B)   -4 
C)   -0.4 
D)  4

Question 3

Add or subtract as indicated.
-$- \frac { 3 } { 4 } - \frac { 5 } { 8 }$

Accepted Answer

A)  $- \frac { 1 } { 4 }$ 
B)   -1 
C)  $\frac { 11 } { 8 }$ 
D)  $- \frac { 11 } { 8 }$ 
A)  $- \frac { 1 } { 4 }$ 
B)   -1 
C)  $\frac { 11 } { 8 }$ 
D)  $- \frac { 11 } { 8 }$

Question 4

Write the sentence as an equation.
-Eight subtracted from three times  x  amounts to  16 .

Accepted Answer

A)   8-3 x=16 
B)   3(x-8)=16 
C)   8(3-x)=16 
D)   3 x-8=16 
A)   8-3 x=16 
B)   3(x-8)=16 
C)   8(3-x)=16 
D)   3 x-8=16

Question 5

Write the reciprocal (or multiplicative inverse) of the number if it exists.
-$- \frac { 4 } { 9 }$

Accepted Answer

A)  $- \frac { 9 } { 4 }$ 
B)  $\frac { 4 } { 9 }$ 
C)  1 
D)  $\frac { 9 } { 4 }$ 
A)  $- \frac { 9 } { 4 }$ 
B)  $\frac { 4 } { 9 }$ 
C)  1 
D)  $\frac { 9 } { 4 }$

Question 6

Multiply or divide as indicated.
-$\frac { - 24 } { - 8 }$

Accepted Answer

A)  3 
B)  4 
C)   -3 
D)   -4 
A)  3 
B)  4 
C)   -3 
D)   -4

Question 7

Provide an appropriate response.
-The algebraic expression 6.5x represents the total cost for x adults to attend the theater.

a. Complete the table that follows.
$\begin{array} { | c | c | c | c | c | } 
\hline \mathrm { x } & 1 & 3 & 10 & 20 \
\hline 6.5 \mathrm { x } & & & & \
\hline
\end{array}$

b. As the number of adults increases, does the total cost increase or decrease?

Accepted Answer

A)  $\begin{array} { | c | c | c | c | c | } 
\hline \mathrm { x } & 1 & 3 & 10 & 20 \
\hline 6.5 \mathrm { x } & 6.5 & 19.5 & 65 & 130 \
\hline
\end{array}$ The total cost decreases. 
B)  $\begin{array} { | c | c | c | c | c | } 
\hline \mathrm { x } & 1 & 3 & 10 & 20 \
\hline 6.5 \mathrm { x } & 7.5 & 9.5 & 16.5 & 26.5 \
\hline
\end{array}$ The total cost increases. 
C)  $\begin{array} { | c | c | c | c | c | } 
\hline \mathrm { x } & 1 & 3 & 10 & 20 \
\hline 6.5 \mathrm { x } & 6.5 & 19.5 & 32.5 & 65 \
\hline
\end{array}$ The total cost increases. 
D)  $\begin{array} { | c | c | c | c | c | } 
\hline \mathrm { x } & 1 & 3 & 10 & 20 \
\hline 6.5 \mathrm { x } & 6.5 & 19.5 & 65 & 130 \
\hline
\end{array}$ The total cost increases. 
A)  $\begin{array} { | c | c | c | c | c | } 
\hline \mathrm { x } & 1 & 3 & 10 & 20 \
\hline 6.5 \mathrm { x } & 6.5 & 19.5 & 65 & 130 \
\hline
\end{array}$ The total cost decreases. 
B)  $\begin{array} { | c | c | c | c | c | } 
\hline \mathrm { x } & 1 & 3 & 10 & 20 \
\hline 6.5 \mathrm { x } & 7.5 & 9.5 & 16.5 & 26.5 \
\hline
\end{array}$ The total cost increases. 
C)  $\begin{array} { | c | c | c | c | c | } 
\hline \mathrm { x } & 1 & 3 & 10 & 20 \
\hline 6.5 \mathrm { x } & 6.5 & 19.5 & 32.5 & 65 \
\hline
\end{array}$ The total cost increases. 
D)  $\begin{array} { | c | c | c | c | c | } 
\hline \mathrm { x } & 1 & 3 & 10 & 20 \
\hline 6.5 \mathrm { x } & 6.5 & 19.5 & 65 & 130 \
\hline
\end{array}$ The total cost increases.

Question 8

Multiply or divide as indicated.
-$\frac { 7 } { 9 } \cdot \left( \frac { - 5 } { 6 } \right)$

Accepted Answer

A)  $- \frac { 35 } { 54 }$ 
B)  $- \frac { 54 } { 35 }$ 
C)  $\frac { 54 } { 35 }$ 
D)  $\frac { 35 } { 54 }$ 
A)  $- \frac { 35 } { 54 }$ 
B)  $- \frac { 54 } { 35 }$ 
C)  $\frac { 54 } { 35 }$ 
D)  $\frac { 35 } { 54 }$

Question 9

Add or subtract as indicated.
- -15-(-6)

Accepted Answer

A)  9 
B)   -9 
C)   -21 
D)  21 
A)  9 
B)   -9 
C)   -21 
D)  21

Use a calculator to approximate the square root. Round to three decimal places. - $\sqrt { 56 }$

Multiply or divide as indicated. - 7.2 $\frac { \pi } { \pi }$ (-1.8)

Add or subtract as indicated. - $- \frac { 3 } { 4 } - \frac { 5 } { 8 }$

Write the sentence as an equation. -Eight subtracted from three times x amounts to 16 .

Write the reciprocal (or multiplicative inverse) of the number if it exists. - $- \frac { 4 } { 9 }$

Multiply or divide as indicated. - $\frac { - 24 } { - 8 }$

Provide an appropriate response. -The algebraic expression 6.5x represents the total cost for x adults to attend the theater. a. Complete the table that follows. 1 3 10 20 6.5 b. As the number of adults increases, does the total cost increase or decrease?

Multiply or divide as indicated. - $\frac { 7 } { 9 } \cdot \left( \frac { - 5 } { 6 } \right)$

Add or subtract as indicated. - -15-(-6)

Equations, Inequalities, and Problem Solving

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Systems of Equations and Inequalities

Polynomials and Polynomial Functions

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Exam 1: Real Numbers and Algebraic Expressions

Use a calculator to approximate the square root. Round to three decimal places. - 56\sqrt { 56 }56​

Multiply or divide as indicated. - 7.2 ππ\frac { \pi } { \pi }ππ​ (-1.8)

Add or subtract as indicated. - −34−58- \frac { 3 } { 4 } - \frac { 5 } { 8 }−43​−85​