Question 1

Solve the absolute value equation.
-$| 2 x - 3 | = - 5$

Accepted Answer

A)  $\varnothing$ 
B)  $- 1,4$ 
C)  $1 , - 4$ 
D)  $\frac { 2 } { 3 } , - \frac { 8 } { 3 }$ 
A)  $\varnothing$ 
B)  $- 1,4$ 
C)  $1 , - 4$ 
D)  $\frac { 2 } { 3 } , - \frac { 8 } { 3 }$

Question 2

Match the inequality with its graph.
-$y < - 2 x$

Accepted Answer

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

Question 3

Write the inequality.
-Write $x > 3$ or $x < - 3$ as an inequality containing absolute value.

Accepted Answer

A)  $| x |  3$ 
C)  $| x | \geq 4$ 
D)  $| x | > 4$ 
A)  $| x |  3$ 
C)  $| x | \geq 4$ 
D)  $| x | > 4$

Question 4

Determine whether the ordered pair given is a solution of the linear inequality in two variables.
-$x + 2 y > - 11 ; ( 3 , - 6 )$

Accepted Answer

A) True 
 B)False

Question 5

Graph the inequality.
-$x+y \leq-6$

Accepted Answer

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

Question 6

Graph the inequality.
-$x>-7$

Accepted Answer

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

Question 7

Solve the absolute value equation.
-$| 4 x - 5 | = 0$

Accepted Answer

A)  $- \frac { 5 } { 4 }$ 
B)  $\frac { 5 } { 4 } , - \frac { 5 } { 4 }$ 
C)  $\varnothing$ 
D)  $\frac { 5 } { 4 }$ 
A)  $- \frac { 5 } { 4 }$ 
B)  $\frac { 5 } { 4 } , - \frac { 5 } { 4 }$ 
C)  $\varnothing$ 
D)  $\frac { 5 } { 4 }$

Question 8

Solve the compound inequality. Graph the solution set.
-$x \leq 3 \text { or } x \geq 6$

Accepted Answer

A)  $( 3,6 )$
  
B)  $( - \infty , 3 ] \cup [ 6 , \infty )$
  
C)  $( - 3,6 )$
  
D)  $[ - 6 , - 3 ]$
  
A)  $( 3,6 )$
  
B)  $( - \infty , 3 ] \cup [ 6 , \infty )$
  
C)  $( - 3,6 )$
  
D)  $[ - 6 , - 3 ]$

Question 9

Graph the solution of the system of linear inequalities.
-$\left\{\begin{array}{l}
y>-4 \
x \geq 3
\end{array}\right.$

Accepted Answer

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

Question 10

List the elements of the set.
-If $A = \{ x \mid x$ is an odd integer $\}$ and $B = \{ 51,53,54,56 \}$, list the elements of $A \cup B$.

Accepted Answer

A)  {  } 
B)  $\{ x \mid x$ is an odd integer $\}$ 
C)  $\{ 51,53 \}$ 
D)  $\{ x \mid x$ is an odd integer or $x = 54$ or $x = 56 \}$ 
A)  {  } 
B)  $\{ x \mid x$ is an odd integer $\}$ 
C)  $\{ 51,53 \}$ 
D)  $\{ x \mid x$ is an odd integer or $x = 54$ or $x = 56 \}$

Question 11

Graph the solutions of the system of linear inequalities.
-$\left\{\begin{array}{l}
x+2 y \leq 2 \
x+y \geq 0
\end{array}\right.$

Accepted Answer

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

Question 12

Fill in the blank with one of the words or phrases listed below.

compound inequality &emsp; solution&emsp;  system of linear inequalities &emsp; 
absolute value &emsp; union &emsp; intersection

-When a variable in an equation is replaced by a number and the resulting equation is true, then the number is called a(n) of the equation.

Accepted Answer

A)  solution 
B)  union 
C)  absolute value 
D)  system of linear inequalities 
A)  solution 
B)  union 
C)  absolute value 
D)  system of linear inequalities

Question 13

Graph the solutions of the system of linear inequalities.
-$\left\{\begin{array}{l}
2 x+y \leq 4 \
y \leq 1
\end{array}\right.$

Accepted Answer

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

Question 14

Graph the solution of the system of linear inequalities.
-$\left\{ \begin{array} { r } 
- 2 x < y \
x + 2 y < 3
\end{array} \right.$

Accepted Answer

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

Question 15

Solve the inequality. Graph the solution set.
-$| x - 6 | - 4 \leq 4$

Accepted Answer

A) $[-2,14]$
  
B)  $\varnothing$
  
C) $( - 2,14 )$
  
D)  $[ - 2,4 ]$
  
A) $[-2,14]$
  
B)  $\varnothing$
  
C) $( - 2,14 )$
  
D)  $[ - 2,4 ]$

Question 16

Solve the compound inequality. Graph the solution set.
-$x < 3$ or $x < 8$

Accepted Answer

A) $(-\infty, 3) \cup(8, \infty)$
  
B) $(3, \infty)$
  
C) $( 3,8 )$
  
D)  $( - \infty , 8 )$
  
A) $(-\infty, 3) \cup(8, \infty)$
  
B) $(3, \infty)$
  
C) $( 3,8 )$
  
D)  $( - \infty , 8 )$

Question 17

Write the inequality.
-Write an absolute value inequality representing all numbers x whose distance from 0 is less than 8 units.

Accepted Answer

A) $| x | > 8$ B) $| x | \leq 8$ C) $| x | \leq 7$ D) $| x | < 8$ A) $| x | > 8$ B) $| x | \leq 8$ C) $| x | \leq 7$ D) $| x | < 8$

Question 18

Solve the inequality. Graph the solution set.
-$| x | < 2$

Accepted Answer

A)  $( - 2,2 )$
  
B) $(-\infty, 2]$
  
C) $[ - 2,2 ]$
  
D)  $( - \infty , - 2 ) \cup ( 2 , \infty )$
  
A)  $( - 2,2 )$
  
B) $(-\infty, 2]$
  
C) $[ - 2,2 ]$
  
D)  $( - \infty , - 2 ) \cup ( 2 , \infty )$

Question 19

Solve the inequality. Graph the solution set.
-| x |< -4

Accepted Answer

A)  $( - 4,4 )$
  
B)  $( - \infty , - 4 ) \cup ( 4 , \infty )$
  
C) $\varnothing$
  
D)  $( - \infty , - 4 ]$
  
A)  $( - 4,4 )$
  
B)  $( - \infty , - 4 ) \cup ( 4 , \infty )$
  
C) $\varnothing$
  
D)  $( - \infty , - 4 ]$

Question 20

Solve the absolute value equation.
-$| - 9 x - 4 | = | 7 - 8 x |$

Accepted Answer

A)  $- 11 , \frac { 3 } { 17 }$ 
B)  $\varnothing$ 
C)  $- 11$ 
D)  $- 11 , - \frac { 3 } { 17 }$ 
A)  $- 11 , \frac { 3 } { 17 }$ 
B)  $\varnothing$ 
C)  $- 11$ 
D)  $- 11 , - \frac { 3 } { 17 }$

Solve the absolute value equation. - $| 2 x - 3 | = - 5$

Match the inequality with its graph. - $y < - 2 x$

Write the inequality. -Write $x > 3$ or $x < - 3$ as an inequality containing absolute value.

Determine whether the ordered pair given is a solution of the linear inequality in two variables. - $x + 2 y > - 11 ; ( 3 , - 6 )$

Graph the inequality. - $x+y \leq-6$ $Graph the inequality. - x+y \leq-6$

Graph the inequality. - $x>-7$

Solve the absolute value equation. - $| 4 x - 5 | = 0$

Solve the compound inequality. Graph the solution set. - $x \leq 3 \text { or } x \geq 6$ $Solve the compound inequality. Graph the solution set. - x \leq 3 \text { or } x \geq 6$

Graph the solution of the system of linear inequalities. - $\left\{\begin{array}{l}y>-4 \\x \geq 3\end{array}\right.$ $Graph the solution of the system of linear inequalities. - \left\{\begin{array}{l} y>-4 \\ x \geq 3 \end{array}\right.$

List the elements of the set. -If $A = \{ x \mid x$ is an odd integer $\}$ and $B = \{ 51,53,54,56 \}$ , list the elements of $A \cup B$ .

Graph the solutions of the system of linear inequalities. - $\left\{\begin{array}{l}x+2 y \leq 2 \\x+y \geq 0\end{array}\right.$ $Graph the solutions of the system of linear inequalities. - \left\{\begin{array}{l} x+2 y \leq 2 \\ x+y \geq 0 \end{array}\right.$

Fill in the blank with one of the words or phrases listed below. compound inequality solution system of linear inequalities absolute value union intersection -When a variable in an equation is replaced by a number and the resulting equation is true, then the number is called a(n) of the equation.

Graph the solutions of the system of linear inequalities. - $\left\{\begin{array}{l}2 x+y \leq 4 \\y \leq 1\end{array}\right.$ $Graph the solutions of the system of linear inequalities. - \left\{\begin{array}{l} 2 x+y \leq 4 \\ y \leq 1 \end{array}\right.$

Graph the solution of the system of linear inequalities. - $\left\{ \begin{array} { r } - 2 x < y \\x + 2 y < 3\end{array} \right.$ $Graph the solution of the system of linear inequalities. - \left\{ \begin{array} { r } - 2 x < y \\ x + 2 y < 3 \end{array} \right.$

Solve the inequality. Graph the solution set. - $| x - 6 | - 4 \leq 4$ $Solve the inequality. Graph the solution set. - | x - 6 | - 4 \leq 4$

Solve the compound inequality. Graph the solution set. - $x < 3$ or $x < 8$

Write the inequality. -Write an absolute value inequality representing all numbers x whose distance from 0 is less than 8 units.

Solve the inequality. Graph the solution set. - $| x | < 2$

Solve the inequality. Graph the solution set. -| x |< -4

Solve the absolute value equation. - $| - 9 x - 4 | = | 7 - 8 x |$

Review of Real Numbers

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 9: Inequalities and Absolute Value

Solve the absolute value equation. - ∣2x−3∣=−5| 2 x - 3 | = - 5∣2x−3∣=−5

Match the inequality with its graph. - y<−2xy < - 2 xy<−2x

Write the inequality. -Write x>3x > 3x>3 or x<−3x < - 3x<−3 as an inequality containing absolute value.

Determine whether the ordered pair given is a solution of the linear inequality in two variables. - x+2y>−11;(3,−6)x + 2 y > - 11 ; ( 3 , - 6 )x+2y>−11;(3,−6)

Graph the inequality. - x+y≤−6x+y \leq-6x+y≤−6

Graph the inequality. - x>−7x>-7x>−7

Solve the absolute value equation. - ∣4x−5∣=0| 4 x - 5 | = 0∣4x−5∣=0

Solve the compound inequality. Graph the solution set. - x≤3 or x≥6x \leq 3 \text { or } x \geq 6x≤3 or x≥6

Graph the solution of the system of linear inequalities. - {y>−4x≥3\left\{\begin{array}{l}y>-4 \\x \geq 3\end{array}\right.{y>−4x≥3​

List the elements of the set. -If A={x∣xA = \{ x \mid xA={x∣x is an odd integer }\}} and B={51,53,54,56}B = \{ 51,53,54,56 \}B={51,53,54,56} , list the elements of A∪BA \cup BA∪B .

Graph the solutions of the system of linear inequalities. - {x+2y≤2x+y≥0\left\{\begin{array}{l}x+2 y \leq 2 \\x+y \geq 0\end{array}\right.{x+2y≤2x+y≥0​

Fill in the blank with one of the words or phrases listed below. compound inequality solution system of linear inequalities absolute value union intersection -When a variable in an equation is replaced by a number and the resulting equation is true, then the number is called a(n) of the equation.

Graph the solutions of the system of linear inequalities. - {2x+y≤4y≤1\left\{\begin{array}{l}2 x+y \leq 4 \\y \leq 1\end{array}\right.{2x+y≤4y≤1​

Graph the solution of the system of linear inequalities. - {−2x<yx+2y<3\left\{ \begin{array} { r } - 2 x < y \\x + 2 y < 3\end{array} \right.{−2x<yx+2y<3​

Solve the inequality. Graph the solution set. - ∣x−6∣−4≤4| x - 6 | - 4 \leq 4∣x−6∣−4≤4

Solve the compound inequality. Graph the solution set. - x<3x < 3x<3 or x<8x < 8x<8

Write the inequality. -Write an absolute value inequality representing all numbers x whose distance from 0 is less than 8 units.

Solve the inequality. Graph the solution set. - ∣x∣<2| x | < 2∣x∣<2

Solve the inequality. Graph the solution set. -| x |< -4

Solve the absolute value equation. - ∣−9x−4∣=∣7−8x∣| - 9 x - 4 | = | 7 - 8 x |∣−9x−4∣=∣7−8x∣

Review of Real Numbers

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Solve the absolute value equation. - $| 2 x - 3 | = - 5$

Match the inequality with its graph. - $y < - 2 x$

Write the inequality. -Write $x > 3$ or $x < - 3$ as an inequality containing absolute value.

Determine whether the ordered pair given is a solution of the linear inequality in two variables. - $x + 2 y > - 11 ; ( 3 , - 6 )$

Graph the inequality. - $x+y \leq-6$ $Graph the inequality. - x+y \leq-6$

Graph the inequality. - $x>-7$

Solve the absolute value equation. - $| 4 x - 5 | = 0$

Solve the compound inequality. Graph the solution set. - $x \leq 3 \text { or } x \geq 6$ $Solve the compound inequality. Graph the solution set. - x \leq 3 \text { or } x \geq 6$

Graph the solution of the system of linear inequalities. - $\left\{\begin{array}{l}y>-4 \\x \geq 3\end{array}\right.$ $Graph the solution of the system of linear inequalities. - \left\{\begin{array}{l} y>-4 \\ x \geq 3 \end{array}\right.$

List the elements of the set. -If $A = \{ x \mid x$ is an odd integer $\}$ and $B = \{ 51,53,54,56 \}$ , list the elements of $A \cup B$ .

Graph the solutions of the system of linear inequalities. - $\left\{\begin{array}{l}x+2 y \leq 2 \\x+y \geq 0\end{array}\right.$ $Graph the solutions of the system of linear inequalities. - \left\{\begin{array}{l} x+2 y \leq 2 \\ x+y \geq 0 \end{array}\right.$

Graph the solutions of the system of linear inequalities. - $\left\{\begin{array}{l}2 x+y \leq 4 \\y \leq 1\end{array}\right.$ $Graph the solutions of the system of linear inequalities. - \left\{\begin{array}{l} 2 x+y \leq 4 \\ y \leq 1 \end{array}\right.$

Graph the solution of the system of linear inequalities. - $\left\{ \begin{array} { r } - 2 x < y \\x + 2 y < 3\end{array} \right.$ $Graph the solution of the system of linear inequalities. - \left\{ \begin{array} { r } - 2 x < y \\ x + 2 y < 3 \end{array} \right.$

Solve the inequality. Graph the solution set. - $| x - 6 | - 4 \leq 4$ $Solve the inequality. Graph the solution set. - | x - 6 | - 4 \leq 4$

Solve the compound inequality. Graph the solution set. - $x < 3$ or $x < 8$

Solve the inequality. Graph the solution set. - $| x | < 2$

Solve the absolute value equation. - $| - 9 x - 4 | = | 7 - 8 x |$