Question 1

Use the roster method to list the elements in the set.
-{x | x is an integer greater than -4}

Accepted Answer

A)  {-3, -2, -1, . . .} 
B)  {-5, -6, -7, . . .} 
C)  {-5, -6, -7} 
D)  {-3, -2, -1, 0} 
A)  {-3, -2, -1, . . .} 
B)  {-5, -6, -7, . . .} 
C)  {-5, -6, -7} 
D)  {-3, -2, -1, 0}

Question 2

Write the English phrase as an algebraic expression. Let x represent the number.
-8 more than 4 times a number

Accepted Answer

A)  8x + 4 
B)  4(8 + x) 
C)  12x 
D)  4x + 8 
A)  8x + 4 
B)  4(8 + x) 
C)  12x 
D)  4x + 8

Question 3

The bar graph shows the expenditures of one city government in a recent year.  
-How much more is spent on Pensions than on Health?

Accepted Answer

A)  $6.4 million 
B)  $10.7 million 
C)  $8 million 
D)  $9.4 million 
A)  $6.4 million 
B)  $10.7 million 
C)  $8 million 
D)  $9.4 million

Question 4

$- \frac { 3 } { 4 } - \left( - \frac { 5 } { 8 } \right)$

Accepted Answer

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

Question 5

Use the roster method to list the elements in the set.
-{x  x is a natural number less than 9}

Accepted Answer

A)  {0, 1, 2, 3, 4, 5, 6, 7, 8} 
B)  {1, 2, 3, 4, 5, 6, 7, 8} 
C)  {1, 2, 3, 4, 5, 6, 7, 8, 9} 
D)  {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} 
A)  {0, 1, 2, 3, 4, 5, 6, 7, 8} 
B)  {1, 2, 3, 4, 5, 6, 7, 8} 
C)  {1, 2, 3, 4, 5, 6, 7, 8, 9} 
D)  {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

Question 6

Simplify the algebraic expression.
-$$5 \left[ 4 x ^ { 2 } - 7 ( - 2 - x ) \right]$$

Accepted Answer

A)  $20 x ^ { 2 } - 5 x + 70$ 
B)  $20 x ^ { 2 } - 35 x + 70$ 
C)  $20 x ^ { 2 } + 7 x + 14$ 
D)  $20 x ^ { 2 } + 35 x + 70$ 
A)  $20 x ^ { 2 } - 5 x + 70$ 
B)  $20 x ^ { 2 } - 35 x + 70$ 
C)  $20 x ^ { 2 } + 7 x + 14$ 
D)  $20 x ^ { 2 } + 35 x + 70$

Question 7

$0 - ( - \sqrt { 13 } )$

Accepted Answer

A)  $- 13$ 
B)  13 
C)  $- \sqrt { 13 }$ 
D)  $\sqrt { 13 }$ 
A)  $- 13$ 
B)  13 
C)  $- \sqrt { 13 }$ 
D)  $\sqrt { 13 }$

Question 8

Simplify the algebraic expression.
-5(3x - 3) - 2(x - 2)

Accepted Answer

A)  13x - 5 
B)  5x - 11 
C)  13x - 19 
D)  13x - 11 
A)  13x - 5 
B)  5x - 11 
C)  13x - 19 
D)  13x - 11

Question 9

Express the interval in set builder notation and graph the interval on a number line.
-$[ 2.5 , \infty )$

Accepted Answer

A) $\{ x \mid x \leq 2.5 \}$ B) $\{ x \mid x > 2.5 \}$ C) $\{ x \mid x \geq 2.5 \}$ D) $\{ x \mid x < 2.5 \}$ A) $\{ x \mid x \leq 2.5 \}$ B) $\{ x \mid x > 2.5 \}$ C) $\{ x \mid x \geq 2.5 \}$ D) $\{ x \mid x < 2.5 \}$

Question 10

Find -x for the given value of x.
-x = 23

Accepted Answer

A)  $- 23$ 
B)  23 
C)  $\frac { 1 } { 23 }$ 
D)  0 
A)  $- 23$ 
B)  23 
C)  $\frac { 1 } { 23 }$ 
D)  0

Question 11

Find -x for the given value of x.
-$$x = - \frac { 11 } { 7 }$$

Accepted Answer

A)  $\frac { 7 } { 11 }$ 
B)  $\frac { 11 } { 7 }$ 
C)  $- \frac { 7 } { 11 }$ 
D)  $- \frac { 11 } { 7 }$ 
A)  $\frac { 7 } { 11 }$ 
B)  $\frac { 11 } { 7 }$ 
C)  $- \frac { 7 } { 11 }$ 
D)  $- \frac { 11 } { 7 }$

Question 12

By definition, an "and" statement is true only when the statements before and after the "and" connective are both true. Use this definition to determine whether the given statement is true or false.
-$$\text { Six times the sum of a number and eight is represented by } 6 ( x + 8 ) \text { and } \frac { 6 } { 13 } \in \{ x \mid x \text { is a rational number } \}$$

Accepted Answer

A) True 
 B)False

Question 13

-$\frac { 2 } { 3 } + \left( - \frac { 5 } { 9 } \right)$

Accepted Answer

A)  $\frac { 11 } { 9 }$ 
B)  $\frac { 1 } { 9 }$ 
C) $ = \frac { 1 } { 9 }$ 
D)  $- \frac { 11 } { 9 }$ 
A)  $\frac { 11 } { 9 }$ 
B)  $\frac { 1 } { 9 }$ 
C) $ = \frac { 1 } { 9 }$ 
D)  $- \frac { 11 } { 9 }$

Question 14

At which points do the graph of Y1 and Y2 intersect?

Accepted Answer

A)  (-1, 1) and (1, 5) 
B)  (1, 3) and (3, 9) 
C)  (1, 5) and (1, 3) 
D)  (-1, 1) and (3, 9) 
A)  (-1, 1) and (1, 5) 
B)  (1, 3) and (3, 9) 
C)  (1, 5) and (1, 3) 
D)  (-1, 1) and (3, 9)

Question 15

Graph the equation.
-

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 16

Multiply as indicated.
-19(-43)

Accepted Answer

A)  817 
B)  -836 
C)  -817 
D)  -917 
A)  817 
B)  -836 
C)  -817 
D)  -917

Question 17

Graph the equation.
-

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 18

Express the interval in set builder notation and graph the interval on a number line.
-(-9, 6]

Accepted Answer

A)  $\{ x \mid - 9 \leq x \leq 6 \}$
  
B)  $\{ x \mid - 9 < x < 6 \}$
  
C)  $\{ x \mid - 9 < x \leq 6 \}$
  
D)  $\{ x \mid x \leq 6 \}$
  
A)  $\{ x \mid - 9 \leq x \leq 6 \}$
  
B)  $\{ x \mid - 9 < x < 6 \}$
  
C)  $\{ x \mid - 9 < x \leq 6 \}$
  
D)  $\{ x \mid x \leq 6 \}$

Question 19

-(-5, 0)

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 20

Divide as indicated or state that the division is undefined.
-$\frac { - 234 } { - 9 }$

Accepted Answer

A)  $\frac { 1 } { 26 }$ 
B)  16 
C)  26 
D)  $- 26$ 
A)  $\frac { 1 } { 26 }$ 
B)  16 
C)  26 
D)  $- 26$

Use the roster method to list the elements in the set. -{x | x is an integer greater than -4}

Write the English phrase as an algebraic expression. Let x represent the number. -8 more than 4 times a number

The bar graph shows the expenditures of one city government in a recent year. -How much more is spent on Pensions than on Health?

$- \frac { 3 } { 4 } - \left( - \frac { 5 } { 8 } \right)$

Use the roster method to list the elements in the set. -{x  x is a natural number less than 9}

Simplify the algebraic expression. - $5 \left[ 4 x ^ { 2 } - 7 ( - 2 - x ) \right]$

$0 - ( - \sqrt { 13 } )$

Simplify the algebraic expression. -5(3x - 3) - 2(x - 2)

Express the interval in set builder notation and graph the interval on a number line. - $[ 2.5 , \infty )$ $Express the interval in set builder notation and graph the interval on a number line. - [ 2.5 , \infty )$

Find -x for the given value of x. -x = 23

Find -x for the given value of x. - $x = - \frac { 11 } { 7 }$

$- \frac { 2 } { 3 } + \left( - \frac { 5 } { 9 } \right)$ - $\frac { 2 } { 3 } + \left( - \frac { 5 } { 9 } \right)$

At which points do the graph of Y1 and Y2 intersect?

Graph the equation. -

Multiply as indicated. -19(-43)

Graph the equation. -

Express the interval in set builder notation and graph the interval on a number line. -(-9, 6]

-(-5, 0)

Divide as indicated or state that the division is undefined. - $\frac { - 234 } { - 9 }$

Functions and Linear Functions

Systems of Linear Equations

Inequalities and Problem Solving

Polynomials, Polynomial Functions, and Factoring

Rational Expressions, Functions, and Equations

Radicals, Radical Functions, and Rational Exponents

Quadratic Equations and Functions

Filters

Exam 1: Algebra, Mathematical Models, and Problem Solving

Use the roster method to list the elements in the set. -{x | x is an integer greater than -4}

Write the English phrase as an algebraic expression. Let x represent the number. -8 more than 4 times a number

The bar graph shows the expenditures of one city government in a recent year. -How much more is spent on Pensions than on Health?

−34−(−58)- \frac { 3 } { 4 } - \left( - \frac { 5 } { 8 } \right)−43​−(−85​)

Use the roster method to list the elements in the set. -{x  x is a natural number less than 9}

Simplify the algebraic expression. - 5[4x2−7(−2−x)]5 \left[ 4 x ^ { 2 } - 7 ( - 2 - x ) \right]5[4x2−7(−2−x)]

0−(−13)0 - ( - \sqrt { 13 } )0−(−13​)

Simplify the algebraic expression. -5(3x - 3) - 2(x - 2)

Express the interval in set builder notation and graph the interval on a number line. - [2.5,∞)[ 2.5 , \infty )[2.5,∞)

Find -x for the given value of x. -x = 23

Find -x for the given value of x. - x=−117x = - \frac { 11 } { 7 }x=−711​

- 23+(−59)\frac { 2 } { 3 } + \left( - \frac { 5 } { 9 } \right)32​+(−95​)

At which points do the graph of Y1 and Y2 intersect?

Graph the equation. -

Multiply as indicated. -19(-43)

Graph the equation. -

Express the interval in set builder notation and graph the interval on a number line. -(-9, 6]

-(-5, 0)

Divide as indicated or state that the division is undefined. - −234−9\frac { - 234 } { - 9 }−9−234​

Functions and Linear Functions

Systems of Linear Equations

Inequalities and Problem Solving

Polynomials, Polynomial Functions, and Factoring

Rational Expressions, Functions, and Equations

Radicals, Radical Functions, and Rational Exponents

Quadratic Equations and Functions

Filters

$- \frac { 3 } { 4 } - \left( - \frac { 5 } { 8 } \right)$

Simplify the algebraic expression. - $5 \left[ 4 x ^ { 2 } - 7 ( - 2 - x ) \right]$

$0 - ( - \sqrt { 13 } )$

Express the interval in set builder notation and graph the interval on a number line. - $[ 2.5 , \infty )$ $Express the interval in set builder notation and graph the interval on a number line. - [ 2.5 , \infty )$

Find -x for the given value of x. - $x = - \frac { 11 } { 7 }$

$- \frac { 2 } { 3 } + \left( - \frac { 5 } { 9 } \right)$ - $\frac { 2 } { 3 } + \left( - \frac { 5 } { 9 } \right)$

Divide as indicated or state that the division is undefined. - $\frac { - 234 } { - 9 }$