Question 1

Evaluate the expression.
-$6 ^ { 0 } - 6 t ^ { 0 }$

Accepted Answer

A)  7 
B)  0 
C)   -5 
D)  5 
A)  7 
B)  0 
C)   -5 
D)  5

Question 2

Write the sentence as an equation.
-Five times  x  divided by 17 is 45 .

Accepted Answer

A)   $\frac { 5 } { 17 x }$ =45 
B)   $\frac { 17 x } { 5 }$=45 
C)   $\frac { 5 x } { 17 }$=45 
D)   $\frac { 17 } { 5 x }$=45 
A)   $\frac { 5 } { 17 x }$ =45 
B)   $\frac { 17 x } { 5 }$=45 
C)   $\frac { 5 x } { 17 }$=45 
D)   $\frac { 17 } { 5 x }$=45

Question 3

Write the number in scientific notation.
- 160.8

Accepted Answer

A)   1.608 x 102  
B)   1.608 x 10-3  
C)   1.608 x 10-2 
D)   1.608 x 103 
A)   1.608 x 102  
B)   1.608 x 10-3  
C)   1.608 x 10-2 
D)   1.608 x 103

Question 4

Write the reciprocal (or multiplicative inverse) of the number if it exists.
-14

Accepted Answer

A)  1 
B)  $\frac { 1 } { 14 }$ 
C)   -14 
D)  -$\frac { 1 } { 14 }$ 
A)  1 
B)  $\frac { 1 } { 14 }$ 
C)   -14 
D)  -$\frac { 1 } { 14 }$

Question 5

Simplify the expression.
-$\frac { 12 ( - 1 ) - ( - 8 ) ( - 7 ) } { 2 [ - 16 \div ( - 4 - 4 ) ] }$

Accepted Answer

A)   -11 
B)   -23 
C)   -17 
D)  undefined 
A)   -11 
B)   -23 
C)   -17 
D)  undefined

Question 6

Simplify. Write the answer using positive exponents only.
-$\left(x^{2}\right)^{-7}$

Accepted Answer

A)  
$-7 x^{2}$ 
B)  
$-7 x^{14}$ 
C)  
$-x^{14}$ 
D)  
$\frac{1}{\mathrm{x}^{14}}$ 
A)  
$-7 x^{2}$ 
B)  
$-7 x^{14}$ 
C)  
$-x^{14}$ 
D)  
$\frac{1}{\mathrm{x}^{14}}$

Question 7

Simplify the expression.
-$5 ^ { 3 } - 3 ^ { 2 } + 3 ^ { 3 } - 5 ^ { 2 }$

Accepted Answer

A)   -82 
B)  118 
C)   -118 
D)  82 
A)   -82 
B)  118 
C)   -118 
D)  82

Question 8

Write the sentence as an equation.
-The sum of  x  and 4 is 15 .

Accepted Answer

A)   x-4=15 
B)   4 x=15 
C)   x$\frac{4}{4}$ 4=15 
D)   x+4=15 
A)   x-4=15 
B)   4 x=15 
C)   x$\frac{4}{4}$ 4=15 
D)   x+4=15

Question 9

List all the elements of B that belong to the given set.
-B= $\left\{ 3 , \sqrt { 5 } , - 24,0 , \frac { 2 } { 3 } , - \frac { 3 } { 2 } , 6.1 , \sqrt { 9 } \right\}$
Integers

Accepted Answer

A)  3,0 
B)   3,0, $\sqrt { 9 }$ 
C)   3,-24,0 
D)   3,-24,0 , $\sqrt { 9 }$ 
A)  3,0 
B)   3,0, $\sqrt { 9 }$ 
C)   3,-24,0 
D)   3,-24,0 , $\sqrt { 9 }$

Question 10

Simplify the expression.
-$\frac { \frac { 1 } { 4 } \cdot 16 - 11 } { 9 + \frac { 1 } { 3 } \cdot 9 }$

Accepted Answer

A)  $- \frac { 7 } { 6 }$ 
B)  $\frac { 5 } { 4 }$ 
C)  $\frac { 7 } { 12 }$ 
D)  $- \frac { 7 } { 12 }$ 
A)  $- \frac { 7 } { 6 }$ 
B)  $\frac { 5 } { 4 }$ 
C)  $\frac { 7 } { 12 }$ 
D)  $- \frac { 7 } { 12 }$

Question 11

Write the number in scientific notation.
- 5,600,000

Accepted Answer

A)   5.6 x 106  
B)   5.6 x 10-5 
C)   5.6 x 105 
D)   5.6 x 10-6 
A)   5.6 x 106  
B)   5.6 x 10-5 
C)   5.6 x 105 
D)   5.6 x 10-6

Question 12

Multiply or divide as indicated.
-$\frac { 0 } { - 6 }$

Accepted Answer

A)  -6 
B)  0 
C)  6 
D)  undefined 
A)  -6 
B)  0 
C)  6 
D)  undefined

Question 13

Add or subtract as indicated.
-Subtract 9 from  -3

Accepted Answer

A)  6 
B)   -12 
C)  12 
D)   -6 
A)  6 
B)   -12 
C)  12 
D)   -6

Question 14

Find the value of the expression.
-$- 4 ^ { 4 }$

Accepted Answer

A)  256 
B)   -64 
C)   -16 
D)   -256 
A)  256 
B)   -64 
C)   -16 
D)   -256

Question 15

Use the quotient rule to simplify.
-$\frac { \mathrm { y } ^ { 4 } } { \mathrm { y } ^ { 3 } }$

Accepted Answer

A) $\frac { 1 } { v }$ 
B)   $\mathrm { y } ^ { 7 }$ 
C)   y 
D)  $y ^ { 4 } - y ^ { 3 }$ 
A) $\frac { 1 } { v }$ 
B)   $\mathrm { y } ^ { 7 }$ 
C)   y 
D)  $y ^ { 4 } - y ^ { 3 }$

Question 16

Simplify.
- -13 y-9 x-4 x

Accepted Answer

A)   -26 x y 
B)   -13 y-13 x 
C)   -13 y-5 x 
D)   -13 y+5 x 
A)   -26 x y 
B)   -13 y-13 x 
C)   -13 y-5 x 
D)   -13 y+5 x

Question 17

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

Accepted Answer

A)  $x ^ { 12 } y$ 
B)  $x ^ { 27 } y$ 
C)  $x ^ { 27 } y ^ { 3 }$ 
D)  $x ^ { 12 } y ^ { 4 }$ 
A)  $x ^ { 12 } y$ 
B)  $x ^ { 27 } y$ 
C)  $x ^ { 27 } y ^ { 3 }$ 
D)  $x ^ { 12 } y ^ { 4 }$

Question 18

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0.
-$x ^ { 8 t } \cdot x ^ { 7 t } \cdot x ^ { 9 t + 2 }$

Accepted Answer

A)  $x ^ { 504 t + 2 }$ 
B)  $t x ^ { 24 t } + 2$ 
C)  $t ^ { 504 t + 2 }$ 
D)  $x ^ { 24 t + 2 }$ 
A)  $x ^ { 504 t + 2 }$ 
B)  $t x ^ { 24 t } + 2$ 
C)  $t ^ { 504 t + 2 }$ 
D)  $x ^ { 24 t + 2 }$

Question 19

Simplify.
-$\frac { 1 } { 3 } ( 6 x - 3 ) - \frac { 1 } { 7 } ( 63 x - 8 y )$

Accepted Answer

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

Question 20

Simplify and write with positive exponents only.
-$\frac { 3 m ^ { 3 } n ^ { - 4 } } { 4 p ^ { 5 } }$

Accepted Answer

A)  $\frac { 3 m ^ { 3 } } { 4 n ^ { 4 } p ^ { 5 } }$ 
B)  $\frac { 4 p ^ { 5 } } { 3 m ^ { 3 } n ^ { 4 } }$ 
C)  $\frac { 3 } { 4 m ^ { 3 } n ^ { 4 } p ^ { 5 } }$ 
D)  $\frac { 3 m ^ { 3 } p ^ { 5 } } { 4 n ^ { 4 } }$ 
A)  $\frac { 3 m ^ { 3 } } { 4 n ^ { 4 } p ^ { 5 } }$ 
B)  $\frac { 4 p ^ { 5 } } { 3 m ^ { 3 } n ^ { 4 } }$ 
C)  $\frac { 3 } { 4 m ^ { 3 } n ^ { 4 } p ^ { 5 } }$ 
D)  $\frac { 3 m ^ { 3 } p ^ { 5 } } { 4 n ^ { 4 } }$

Evaluate the expression. - $6 ^ { 0 } - 6 t ^ { 0 }$

Write the sentence as an equation. -Five times x divided by 17 is 45 .

Write the number in scientific notation. - 160.8

Write the reciprocal (or multiplicative inverse) of the number if it exists. -14

Simplify the expression. - $\frac { 12 ( - 1 ) - ( - 8 ) ( - 7 ) } { 2 [ - 16 \div ( - 4 - 4 ) ] }$

Simplify. Write the answer using positive exponents only. - $\left(x^{2}\right)^{-7}$

Simplify the expression. - $5 ^ { 3 } - 3 ^ { 2 } + 3 ^ { 3 } - 5 ^ { 2 }$

Write the sentence as an equation. -The sum of x and 4 is 15 .

List all the elements of B that belong to the given set. -B= $\left\{ 3 , \sqrt { 5 } , - 24,0 , \frac { 2 } { 3 } , - \frac { 3 } { 2 } , 6.1 , \sqrt { 9 } \right\}$ Integers

Simplify the expression. - $\frac { \frac { 1 } { 4 } \cdot 16 - 11 } { 9 + \frac { 1 } { 3 } \cdot 9 }$

Write the number in scientific notation. - 5,600,000

Multiply or divide as indicated. - $\frac { 0 } { - 6 }$

Add or subtract as indicated. -Subtract 9 from -3

Find the value of the expression. - $- 4 ^ { 4 }$

Use the quotient rule to simplify. - $\frac { \mathrm { y } ^ { 4 } } { \mathrm { y } ^ { 3 } }$

Simplify. - -13 y-9 x-4 x

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

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0. - $x ^ { 8 t } \cdot x ^ { 7 t } \cdot x ^ { 9 t + 2 }$

Simplify. - $\frac { 1 } { 3 } ( 6 x - 3 ) - \frac { 1 } { 7 } ( 63 x - 8 y )$

Simplify and write with positive exponents only. - $\frac { 3 m ^ { 3 } n ^ { - 4 } } { 4 p ^ { 5 } }$

Equations, Inequalities, and Problem Solving

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

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Quadratic Equations and Functions

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Exam 1: Real Numbers and Algebraic Expressions

Evaluate the expression. - 60−6t06 ^ { 0 } - 6 t ^ { 0 }60−6t0