Question 1

Multiply or divide as indicated.
-$- \frac { 4 } { 7 } \cdot \left( - \frac { 4 } { 9 } \right)$

Accepted Answer

A)  $\frac { 16 } { 63 }$ 
B)  $- \frac { 16 } { 63 }$ 
C)  $- \frac { 63 } { 16 }$ 
D)  $\frac { 63 } { 16 }$ 
A)  $\frac { 16 } { 63 }$ 
B)  $- \frac { 16 } { 63 }$ 
C)  $- \frac { 63 } { 16 }$ 
D)  $\frac { 63 } { 16 }$

Question 2

Use a commutative property to write an equivalent expression.
- 19x + y

Accepted Answer

A)   19xy 
B)   x + 19y 
C)   y +19x 
D)   19y + x 
A)   19xy 
B)   x + 19y 
C)   y +19x 
D)   19y + x

Question 3

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l l } 
\text { distributive } & \text { absolute value } & \text { inequality } & \text { algebraic expression } \
\text { real } & \text { opposite } & \text { commutative } & \text { exponent } \
\text { recinrocals } & \text { associative } & \text { whole } & \text { variable }
\end{array}$$
-The numbers  0,1,2,3, ....  are called _________ numbers.

Accepted Answer

A)  whole 
B)  opposite 
C)  real 
D)  variable 
A)  whole 
B)  opposite 
C)  real 
D)  variable

Question 4

Write the number in scientific notation.
-290,000

Accepted Answer

A)   2.9 x 10-5 
B)   2.9 x 10-4 
C)   2.9 x 105  
D)   2.9 x 104 
A)   2.9 x 10-5 
B)   2.9 x 10-4 
C)   2.9 x 105  
D)   2.9 x 104

Question 5

Simplify the expression.
-$21 - [ 6 - ( 2 - 12 ) ] + ( 1 - 3 ) ^ { 3 }$

Accepted Answer

A)  13 
B)   -3 
C)  33 
D)   -13 
A)  13 
B)   -3 
C)  33 
D)   -13

Question 6

Find the absolute value.
-$\left| - \frac { 12 } { 5 } \right|$

Accepted Answer

A)  $\frac { 5 } { 12 }$ 
B)  $- \frac { 5 } { 12 }$ 
C)  $- \frac { 12 } { 5 }$ 
D)  $\frac { 12 } { 5 }$ 
A)  $\frac { 5 } { 12 }$ 
B)  $- \frac { 5 } { 12 }$ 
C)  $- \frac { 12 } { 5 }$ 
D)  $\frac { 12 } { 5 }$

Question 7

Name the property illustrated.
- 7(x-3)=7 x-21

Accepted Answer

A)  distributive property 
B)  commutative property of addition 
C)  associative property of multiplication 
D)  commutative property of multiplication 
A)  distributive property 
B)  commutative property of addition 
C)  associative property of multiplication 
D)  commutative property of multiplication

Question 8

Use an associative property to write an equivalent expression.
-8 r+(14 s+28)

Accepted Answer

A)   (8 r+14 s)+28 
B)   8r+(28+14 s) 
C)   (14 s+28)+8r 
D)   8r+(14 s+28) 
A)   (8 r+14 s)+28 
B)   8r+(28+14 s) 
C)   (14 s+28)+8r 
D)   8r+(14 s+28)

Question 9

Multiply or divide as indicated.
- -3(-4.8)

Accepted Answer

A)   -14.4 
B)   1.44 
C)   14.4 
D)   -1.44 
A)   -14.4 
B)   1.44 
C)   14.4 
D)   -1.44

Question 10

Multiply or divide as indicated.
-$\frac { - 3.3 } { - 1.1 }$

Accepted Answer

A)  3 
B)   -3 
C)   -30 
D)   0.3 
A)  3 
B)   -3 
C)   -30 
D)   0.3

Question 11

Write the sentence as an equation.
-12 is equal to 8 subtracted from twice  x .

Accepted Answer

A)   12=2 x+8 
B)   12=2(x-8) 
C)   12=8-2x 
D)   12=2x -8 
A)   12=2 x+8 
B)   12=2(x-8) 
C)   12=8-2x 
D)   12=2x -8

Question 12

Write the number in scientific notation.
- 0.00000069904

Accepted Answer

A)   6.9904 x 106 
B)   6.9904 x 10-6 
C)   6.9904 x 107 
D)   6.9904 x 10-7 
A)   6.9904 x 106 
B)   6.9904 x 10-6 
C)   6.9904 x 107 
D)   6.9904 x 10-7

Question 13

Complete the statement to illustrate the given property.
--6(x+4)= _______ Distributive property

Accepted Answer

A)   x -24 
B)   6x -24 
C)  -6x +4 
D)  -6x -24 
A)   x -24 
B)   6x -24 
C)  -6x +4 
D)  -6x -24

Question 14

Simplify.
-$\frac { 2 } { 3 } m + \frac { 1 } { 3 } n + \frac { 1 } { 2 } m - \frac { 3 } { 4 } n$

Accepted Answer

A)  $- \frac { 1 } { 6 } m - \frac { 5 } { 12 } n$ 
B)  $\frac { 7 } { 6 } m + \frac { 1 } { 3 } n - \frac { 3 } { 4 }$ 
C)  $\frac { 2 } { 3 } m + \frac { 13 } { 12 } n$ 
D)  $\frac { 7 } { 6 } m - \frac { 5 } { 12 } n$ 
A)  $- \frac { 1 } { 6 } m - \frac { 5 } { 12 } n$ 
B)  $\frac { 7 } { 6 } m + \frac { 1 } { 3 } n - \frac { 3 } { 4 }$ 
C)  $\frac { 2 } { 3 } m + \frac { 13 } { 12 } n$ 
D)  $\frac { 7 } { 6 } m - \frac { 5 } { 12 } n$

Question 15

Write the number in scientific notation.
- 0.0000918

Accepted Answer

A)   9.18 x 105  
B)   9.18 x 10-5 
C)   9.18 x 106 
D)   9.18 x 10-6 
A)   9.18 x 105  
B)   9.18 x 10-5 
C)   9.18 x 106 
D)   9.18 x 10-6

Question 16

Write the number in scientific notation.
- 0.000668

Accepted Answer

A)   6.68 x 104 
B)   6.68 x 10-5 
C)   6.68 x 10-3 
D)   6.68 x 10-4  
A)   6.68 x 104 
B)   6.68 x 10-5 
C)   6.68 x 10-3 
D)   6.68 x 10-4

Question 17

Simplify. Write the answer using positive exponents only.
-$\left( \frac { x ^ { - 9 } } { x ^ { - 3 } } \right) ^ { 3 }$

Accepted Answer

A)  $x ^ { 18 }$ 
B)   -$\begin{array} { r } 
1 \
\times 18
\end{array}$ 
C)  $\frac { 1 } { \mathrm { x } ^ { 18 } }$ 
D)  $- x ^ { 18 }$ 
A)  $x ^ { 18 }$ 
B)   -$\begin{array} { r } 
1 \
\times 18
\end{array}$ 
C)  $\frac { 1 } { \mathrm { x } ^ { 18 } }$ 
D)  $- x ^ { 18 }$

Question 18

Place $\in$ Or $\notin$ in the space provided to make the statement true.
-$\sqrt { 2 }$ـــــــــــــــــ$\{ x \mid x$ is a rational number  \}

Accepted Answer

A)   $\notin$ 
B)   $\in$ 
A)   $\notin$ 
B)   $\in$

Question 19

Simplify and write with positive exponents only.
-$( - 3 ) ^ { - 4 }$

Accepted Answer

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

Question 20

Add or subtract as indicated.
--5-15

Accepted Answer

A)   -10 
B)   -20 
C)  20 
D)  10 
A)   -10 
B)   -20 
C)  20 
D)  10

Multiply or divide as indicated. - $- \frac { 4 } { 7 } \cdot \left( - \frac { 4 } { 9 } \right)$

Use a commutative property to write an equivalent expression. - 19x + y

Fill in the blank with one of the words or phrases listed below. distributive absolute value inequality algebraic expression real opposite commutative exponent recinrocals associative whole variable -The numbers 0,1,2,3, .... are called _________ numbers.

Write the number in scientific notation. -290,000

Simplify the expression. - $21 - [ 6 - ( 2 - 12 ) ] + ( 1 - 3 ) ^ { 3 }$

Find the absolute value. - $\left| - \frac { 12 } { 5 } \right|$

Name the property illustrated. - 7(x-3)=7 x-21

Use an associative property to write an equivalent expression. -8 r+(14 s+28)

Multiply or divide as indicated. - -3(-4.8)

Multiply or divide as indicated. - $\frac { - 3.3 } { - 1.1 }$

Write the sentence as an equation. -12 is equal to 8 subtracted from twice x .

Write the number in scientific notation. - 0.00000069904

Complete the statement to illustrate the given property. --6(x+4)= _______ Distributive property

Simplify. - $\frac { 2 } { 3 } m + \frac { 1 } { 3 } n + \frac { 1 } { 2 } m - \frac { 3 } { 4 } n$

Write the number in scientific notation. - 0.0000918

Write the number in scientific notation. - 0.000668

Simplify. Write the answer using positive exponents only. - $\left( \frac { x ^ { - 9 } } { x ^ { - 3 } } \right) ^ { 3 }$

Place $\in$ Or $\notin$ in the space provided to make the statement true. - $\sqrt { 2 }$ ـــــــــــــــــ $\{ x \mid x$ is a rational number \}

Simplify and write with positive exponents only. - $( - 3 ) ^ { - 4 }$

Add or subtract as indicated. --5-15

Equations, Inequalities, and Problem Solving

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Fractions

Filters

Exam 1: Real Numbers and Algebraic Expressions

Multiply or divide as indicated. - −47⋅(−49)- \frac { 4 } { 7 } \cdot \left( - \frac { 4 } { 9 } \right)−74​⋅(−94​)