Question 1

Use the commutative and associative properties to simplify the expression.
-$\frac { 3 } { 13 } \left( \frac { 13 } { 3 } t \right)$

Accepted Answer

A)  $\frac { 178 } { 39 } t$ 
B)  $t$ 
C)  $\frac { 9 } { 169 } t$ 
D)  $\frac { 13 } { 3 } t$ 
A)  $\frac { 178 } { 39 } t$ 
B)  $t$ 
C)  $\frac { 9 } { 169 } t$ 
D)  $\frac { 13 } { 3 } t$

Question 2

Insert  
 , or = to make the statement true.
-1 ___$ -1 $

Accepted Answer

A) $>$ B) $=$ C) $<$ A) $>$ B) $=$ C) $<$

Question 3

Evaluate the expression when x = 5, y = -2, and t = 8.
-$\frac { 19 - x } { y + 4 }$

Accepted Answer

A)  4 
B)  7 
C)  $\frac { 11 } { 2 }$ 
D)  0 
A)  4 
B)  7 
C)  $\frac { 11 } { 2 }$ 
D)  0

Question 4

Write the phrase as an algebraic expression. Let x represent the unknown number.
-Two-sevenths times a number

Accepted Answer

A)  $x - \frac { 2 } { 7 }$ 
B)  $\frac { 2 } { 7 } + x$ 
C)  $\frac { 2 } { 7 } x$ 
D)  $\frac { 2 } { 7 } - x$ 
A)  $x - \frac { 2 } { 7 }$ 
B)  $\frac { 2 } { 7 } + x$ 
C)  $\frac { 2 } { 7 } x$ 
D)  $\frac { 2 } { 7 } - x$

Question 5

Provide an appropriate response.
-Find the reciprocal of $- \frac { 1 } { 29 }$.

Accepted Answer

A)  29 
B)  $\frac { 1 } { 29 }$ 
C)  1 
D)  $- 29$ 
A)  29 
B)  $\frac { 1 } { 29 }$ 
C)  1 
D)  $- 29$

Question 6

The product of a negative integer and three positive integers is negative.

Accepted Answer

A) True 
 B)False

Question 7

Use the distributive property to write the expression without parentheses. Then simplify, if necessary.
-$- ( - 6 m + 5 n - 4 p )$

Accepted Answer

A)  $6 m - 5 n + 4 p$ 
B)  $- 6 m + 5 n + 4 p$ 
C)  $- 6 m + 5 n - 4 p$ 
D)  $6 m - 5 n - 4 p$ 
A)  $6 m - 5 n + 4 p$ 
B)  $- 6 m + 5 n + 4 p$ 
C)  $- 6 m + 5 n - 4 p$ 
D)  $6 m - 5 n - 4 p$

Question 8

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l l l } 
\text { set } & \text { inequality symbols } & \text { opposites } & \text { absolute value } & \text { numerator } \
\text { denominator } & \text { grouping symbols } & \text { exponent } & \text { base } & \text { reciprocals } \
\text { variable } & \text { equation } & \text { solution } & &
\end{array}$$
-A of an equation is a value for the variable that makes the equation a true statement.

Accepted Answer

A)  base 
B)  set 
C)  solution 
D)  variable 
A)  base 
B)  set 
C)  solution 
D)  variable

Question 9

Simplify.
-$- | - 0 |$

Accepted Answer

A)  Undefined 
B)  1 
C)  $- 1$ 
D)  0 
A)  Undefined 
B)  1 
C)  $- 1$ 
D)  0

Question 10

Write the sentence as an equation or inequality. Use x to represent any unknown number.
-One increased by two equals the quotient of twelve and four.

Accepted Answer

A)  $1 + 2 = 12 - 4$ 
B)  $1 + 2 = 12 \cdot 4$ 
C)  $1 + 2 = 12 \div 4$ 
D)  $1 + 2 = 4 \div 12$ 
A)  $1 + 2 = 12 - 4$ 
B)  $1 + 2 = 12 \cdot 4$ 
C)  $1 + 2 = 12 \div 4$ 
D)  $1 + 2 = 4 \div 12$

Question 11

Subtract.
-$- \frac { 4 } { 5 } - \frac { 7 } { 10 }$

Accepted Answer

A)  $- \frac { 3 } { 10 }$ 
B)  $\frac { 3 } { 2 }$ 
C)  $- \frac { 3 } { 2 }$ 
D)  $- \frac { 11 } { 10 }$ 
A)  $- \frac { 3 } { 10 }$ 
B)  $\frac { 3 } { 2 }$ 
C)  $- \frac { 3 } { 2 }$ 
D)  $- \frac { 11 } { 10 }$

Question 12

Use the commutative and associative properties to simplify the expression.
-$- 6 + ( 4 x + 3 )$

Accepted Answer

A)  $- 18 + 4 x$ 
B)  $- 42 x$ 
C)  $- 3 x + 3$ 
D)  $- 3 + 4 x$ 
A)  $- 18 + 4 x$ 
B)  $- 42 x$ 
C)  $- 3 x + 3$ 
D)  $- 3 + 4 x$

Question 13

Simplify.
-$\frac { 83 + 7 } { 3 ^ { 2 } - 4 }$

Accepted Answer

A)  45 
B)  27 
C)  16 
D)  18 
A)  45 
B)  27 
C)  16 
D)  18

Question 14

Simplify the expression.
-$6 ^ { 3 } + 3 ^ { 2 }$

Accepted Answer

A)  27 
B)  225 
C)  222 
D)  24 
A)  27 
B)  225 
C)  222 
D)  24

Question 15

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l l l } 
\text { set } & \text { inequality symbols } & \text { opposites } & \text { absolute value } & \text { numerator } \
\text { denominator } & \text { grouping symbols } & \text { exponent } & \text { base } & \text { reciprocals } \
\text { variable } & \text { equation } & \text { solution } & &
\end{array}$$
-Two numbers whose product is 1 are called .

Accepted Answer

A)  grouping symbols 
B)  reciprocals 
C)  inequality symbols 
D)  opposites 
A)  grouping symbols 
B)  reciprocals 
C)  inequality symbols 
D)  opposites

Question 16

Simplify the expression.
-$\frac { - 12 } { 0 }$

Accepted Answer

A)  0 
B)  undefined 
C)  1 
D)  12 
A)  0 
B)  undefined 
C)  1 
D)  12

Question 17

Multiply.
-$- \frac { 36 } { 25 } \left( \frac { 5 } { 9 } \right)$

Accepted Answer

A)  $- 1 \frac { 11 } { 25 }$ 
B)  $- \frac { 4 } { 5 }$ 
C)  $\frac { 4 } { 5 }$ 
D)  $\frac { 5 } { 9 }$ 
A)  $- 1 \frac { 11 } { 25 }$ 
B)  $- \frac { 4 } { 5 }$ 
C)  $\frac { 4 } { 5 }$ 
D)  $\frac { 5 } { 9 }$

Question 18

Write the sentence as a mathematical statement.
-Forty-six is less than or equal to forty-six.

Accepted Answer

A)  $46 < 46$ 
B)  $46 \geq 46$ 
C)  $46 \leq 46$ 
D)  $46 = 46$ 
A)  $46 < 46$ 
B)  $46 \geq 46$ 
C)  $46 \leq 46$ 
D)  $46 = 46$

Question 19

Simplify the expression.
-$- 9.9 + 5.6$

Accepted Answer

A)  $15.5$ 
B)  $4.3$ 
C)  $- 15.5$ 
D)  $- 4.3$ 
A)  $15.5$ 
B)  $4.3$ 
C)  $- 15.5$ 
D)  $- 4.3$

Question 20

Insert , or = to make the statement true.
-0____|- 13|

Accepted Answer

A) $>$ B) $<$ = A) $>$ B) $<$ =

Use the commutative and associative properties to simplify the expression. - $\frac { 3 } { 13 } \left( \frac { 13 } { 3 } t \right)$

Insert , or = to make the statement true. -1 ___ $-1$

Evaluate the expression when x = 5, y = -2, and t = 8. - $\frac { 19 - x } { y + 4 }$

Write the phrase as an algebraic expression. Let x represent the unknown number. -Two-sevenths times a number

Provide an appropriate response. -Find the reciprocal of $- \frac { 1 } { 29 }$ .

The product of a negative integer and three positive integers is negative.

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $- ( - 6 m + 5 n - 4 p )$

Fill in the blank with one of the words or phrases listed below. set inequality symbols opposites absolute value numerator denominator grouping symbols exponent base reciprocals variable equation solution -A of an equation is a value for the variable that makes the equation a true statement.

Simplify. - $- | - 0 |$

Write the sentence as an equation or inequality. Use x to represent any unknown number. -One increased by two equals the quotient of twelve and four.

Subtract. - $- \frac { 4 } { 5 } - \frac { 7 } { 10 }$

Use the commutative and associative properties to simplify the expression. - $- 6 + ( 4 x + 3 )$

Simplify. - $\frac { 83 + 7 } { 3 ^ { 2 } - 4 }$

Simplify the expression. - $6 ^ { 3 } + 3 ^ { 2 }$

Fill in the blank with one of the words or phrases listed below. set inequality symbols opposites absolute value numerator denominator grouping symbols exponent base reciprocals variable equation solution -Two numbers whose product is 1 are called .

Simplify the expression. - $\frac { - 12 } { 0 }$

Multiply. - $- \frac { 36 } { 25 } \left( \frac { 5 } { 9 } \right)$

Write the sentence as a mathematical statement. -Forty-six is less than or equal to forty-six.

Simplify the expression. - $- 9.9 + 5.6$

Insert <, >, or = to make the statement true. -0____|- 13|

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 1: Review of Real Numbers

Use the commutative and associative properties to simplify the expression. - 313(133t)\frac { 3 } { 13 } \left( \frac { 13 } { 3 } t \right)133​(313​t)

Insert , or = to make the statement true. -1 ___ −1 -1 −1

Evaluate the expression when x = 5, y = -2, and t = 8. - 19−xy+4\frac { 19 - x } { y + 4 }y+419−x​

Write the phrase as an algebraic expression. Let x represent the unknown number. -Two-sevenths times a number

Provide an appropriate response. -Find the reciprocal of −129- \frac { 1 } { 29 }−291​ .

The product of a negative integer and three positive integers is negative.

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - −(−6m+5n−4p)- ( - 6 m + 5 n - 4 p )−(−6m+5n−4p)

Fill in the blank with one of the words or phrases listed below. set inequality symbols opposites absolute value numerator denominator grouping symbols exponent base reciprocals variable equation solution -A of an equation is a value for the variable that makes the equation a true statement.

Simplify. - −∣−0∣- | - 0 |−∣−0∣

Write the sentence as an equation or inequality. Use x to represent any unknown number. -One increased by two equals the quotient of twelve and four.

Subtract. - −45−710- \frac { 4 } { 5 } - \frac { 7 } { 10 }−54​−107​

Use the commutative and associative properties to simplify the expression. - −6+(4x+3)- 6 + ( 4 x + 3 )−6+(4x+3)

Simplify. - 83+732−4\frac { 83 + 7 } { 3 ^ { 2 } - 4 }32−483+7​

Simplify the expression. - 63+326 ^ { 3 } + 3 ^ { 2 }63+32

Fill in the blank with one of the words or phrases listed below. set inequality symbols opposites absolute value numerator denominator grouping symbols exponent base reciprocals variable equation solution -Two numbers whose product is 1 are called .

Simplify the expression. - −120\frac { - 12 } { 0 }0−12​

Multiply. - −3625(59)- \frac { 36 } { 25 } \left( \frac { 5 } { 9 } \right)−2536​(95​)

Write the sentence as a mathematical statement. -Forty-six is less than or equal to forty-six.

Simplify the expression. - −9.9+5.6- 9.9 + 5.6−9.9+5.6

Insert <, >, or = to make the statement true. -0____|- 13|

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Use the commutative and associative properties to simplify the expression. - $\frac { 3 } { 13 } \left( \frac { 13 } { 3 } t \right)$

Insert , or = to make the statement true. -1 ___ $-1$

Evaluate the expression when x = 5, y = -2, and t = 8. - $\frac { 19 - x } { y + 4 }$

Provide an appropriate response. -Find the reciprocal of $- \frac { 1 } { 29 }$ .

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $- ( - 6 m + 5 n - 4 p )$

Simplify. - $- | - 0 |$

Subtract. - $- \frac { 4 } { 5 } - \frac { 7 } { 10 }$

Use the commutative and associative properties to simplify the expression. - $- 6 + ( 4 x + 3 )$

Simplify. - $\frac { 83 + 7 } { 3 ^ { 2 } - 4 }$

Simplify the expression. - $6 ^ { 3 } + 3 ^ { 2 }$

Simplify the expression. - $\frac { - 12 } { 0 }$

Multiply. - $- \frac { 36 } { 25 } \left( \frac { 5 } { 9 } \right)$

Simplify the expression. - $- 9.9 + 5.6$