Question 1

Match the inequality with its graph.
-$y \leq 8$

Accepted Answer

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

Question 2

Solve the compound inequality. Graph the solution set.
-$5 \leq 2 t + 1 \leq 13$

Accepted Answer

A)  $[ 2,6 ]$
  
B) $[-6,-2]$
  
C)  $( 2,6 )$
  
D)  $( - 6 , - 2 )$
  
A)  $[ 2,6 ]$
  
B) $[-6,-2]$
  
C)  $( 2,6 )$
  
D)  $( - 6 , - 2 )$

Question 3

Graph the inequality.
-$x-4 y \leq 4$

Accepted Answer

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

Question 4

Graph the inequality.
-$-3 x+y>6$

Accepted Answer

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

Question 5

Solve the compound inequality. Graph the solution set.
-$- 7 x + 1 \geq 15$ or $6 x + 3 \geq - 21$

Accepted Answer

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

Question 6

Solve the compound inequality. Graph the solution set.
-$- 25 \leq - 3 c - 4 < - 10$

Accepted Answer

A)  $( 2,7 ]$
  
B)  $[ 2,7 )$
  
C) $(-7,-21]$
  
D)  $[ - 7 , - 2 )$
  
A)  $( 2,7 ]$
  
B)  $[ 2,7 )$
  
C) $(-7,-21]$
  
D)  $[ - 7 , - 2 )$

Question 7

Solve the inequality. Graph the solution set.
-$\left| \frac { 5 y + 20 } { 4 } \right| > 5$

Accepted Answer

A)  $( 0 , \infty )$
  
B)  $( - 8,8 )$
  
C) $(-8,0)$
  
D)  $( - \infty , - 8 ) \cup ( 0 , \infty )$

Question 8

Solve the absolute value equation.
-$| x - 6 | = | 4 - x |$

Accepted Answer

A)  $\varnothing$ 
B)  10 
C)  5 
D)  $- \frac { 1 } { 5 }$ 
A)  $\varnothing$ 
B)  10 
C)  5 
D)  $- \frac { 1 } { 5 }$

Question 9

Graph the inequality.
-$x-y<-6$

Accepted Answer

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

Question 10

Graph the inequality.
-$7 x-5 y>0$

Accepted Answer

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

Question 11

Solve the compound inequality. Graph the solution set.
-$0 \leq \frac { 3 x + 1 } { 2 } < 3$

Accepted Answer

A)  $\left[ - \frac { 1 } { 3 } , \frac { 5 } { 3 } \right]$
  
B)  $\left[ - \frac { 1 } { 3 } , \frac { 5 } { 3 } \right)$
  
C)  $\left[ - \frac { 1 } { 3 } , \frac { 5 } { 3 } \right]$
  
D)  $\left( - \frac { 1 } { 3 } , \frac { 5 } { 3 } \right)$
  
A)  $\left[ - \frac { 1 } { 3 } , \frac { 5 } { 3 } \right]$
  
B)  $\left[ - \frac { 1 } { 3 } , \frac { 5 } { 3 } \right)$
  
C)  $\left[ - \frac { 1 } { 3 } , \frac { 5 } { 3 } \right]$
  
D)  $\left( - \frac { 1 } { 3 } , \frac { 5 } { 3 } \right)$

Question 12

Solve the inequality. Graph the solution set.
-$| x | + 2 \geq 5$

Accepted Answer

A)  $[ 3 , \infty )$
  
B)  $[ 7 , \infty )$
  
C)  $( - \infty , - 3 ] \cup [ 3 , \infty )$
  
D)  $[ - 3,3 ]$
  
A)  $[ 3 , \infty )$
  
B)  $[ 7 , \infty )$
  
C)  $( - \infty , - 3 ] \cup [ 3 , \infty )$
  
D)  $[ - 3,3 ]$

Question 13

Solve the absolute value equation.
-$| 6 x + 7 | + 3 = 8$

Accepted Answer

A)  $\varnothing$ 
B)  $- \frac { 2 } { 7 } , - \frac { 12 } { 7 }$ 
C)  $\frac { 1 } { 3 } , 2$ 
D)  $- \frac { 1 } { 3 } , - 2$ 
A)  $\varnothing$ 
B)  $- \frac { 2 } { 7 } , - \frac { 12 } { 7 }$ 
C)  $\frac { 1 } { 3 } , 2$ 
D)  $- \frac { 1 } { 3 } , - 2$

Question 14

Graph the inequality.
-$x+3 y \leq 3$

Accepted Answer

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

Question 15

Solve the absolute value equation.
-$| 6 x | + 3 = 5$

Accepted Answer

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

Question 16

List the elements of the set.
-If $A = \{ x \mid x$ is an even integer $\}$ and $B = \{ 29,31,33,35 \}$, list the elements of $A \cup B$.

Accepted Answer

A)  $\{ 29,31,33,35 \}$ 
B)  $\{ x \mid x$ is an even integer $\}$ 
C) {} 
D)  $\{ x \mid x$ is an even integer or $x = 29$ or $x = 31$ or $x = 33$ or $x = 35 \}$ 
A)  $\{ 29,31,33,35 \}$ 
B)  $\{ x \mid x$ is an even integer $\}$ 
C) {} 
D)  $\{ x \mid x$ is an even integer or $x = 29$ or $x = 31$ or $x = 33$ or $x = 35 \}$

Question 17

Solve the compound inequality. Graph the solution set.
-$x + 6 < 10$ and $- 6 x < - 30$

Accepted Answer

A)  $( - \infty , 4 )$
  
B) $\varnothing$
  
C) $( - \infty , 4 ) \cup ( 5 , \infty )$
  
D)  $( 4,5 )$
  
A)  $( - \infty , 4 )$
  
B) $\varnothing$
  
C) $( - \infty , 4 ) \cup ( 5 , \infty )$
  
D)  $( 4,5 )$

Question 18

Solve the compound inequality. Graph the solution set.
-$- \frac { 1 } { 3 } \leq \frac { 4 x - 1 } { 9 } < \frac { 1 } { 3 }$

Accepted Answer

A)  $\left[ - \frac { 1 } { 2 } , 1 \right]$
  
B)  $\left( - \frac { 1 } { 2 } , 1 \right)$
  
C)  $\left[ - \frac { 1 } { 2 } , 1 \right]$
  
D)  $\left[ - \frac { 2 } { 3 } , \frac { 5 } { 6 } \right]$
  
A)  $\left[ - \frac { 1 } { 2 } , 1 \right]$
  
B)  $\left( - \frac { 1 } { 2 } , 1 \right)$
  
C)  $\left[ - \frac { 1 } { 2 } , 1 \right]$
  
D)  $\left[ - \frac { 2 } { 3 } , \frac { 5 } { 6 } \right]$

Question 19

Write the inequality.
-Write $- 11 \leq x \leq 11$ as an inequality containing absolute value.

Accepted Answer

A)  $| x | \geq 10$ 
B)  $| x | \leq 10$ 
C)  $| x | \geq 11$ 
D)  $| x | \leq 11$ 
A)  $| x | \geq 10$ 
B)  $| x | \leq 10$ 
C)  $| x | \geq 11$ 
D)  $| x | \leq 11$

Question 20

Solve the inequality. Graph the solution set.
-

Accepted Answer

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

Match the inequality with its graph. - $y \leq 8$

Solve the compound inequality. Graph the solution set. - $5 \leq 2 t + 1 \leq 13$ $Solve the compound inequality. Graph the solution set. - 5 \leq 2 t + 1 \leq 13$

Graph the inequality. - $x-4 y \leq 4$ $Graph the inequality. - x-4 y \leq 4$

Graph the inequality. - $-3 x+y>6$

Solve the compound inequality. Graph the solution set. - $- 7 x + 1 \geq 15$ or $6 x + 3 \geq - 21$ $Solve the compound inequality. Graph the solution set. - - 7 x + 1 \geq 15 or 6 x + 3 \geq - 21$

Solve the compound inequality. Graph the solution set. - $- 25 \leq - 3 c - 4 < - 10$ $Solve the compound inequality. Graph the solution set. - - 25 \leq - 3 c - 4 < - 10$

Solve the inequality. Graph the solution set. - $\left| \frac { 5 y + 20 } { 4 } \right| > 5$ $Solve the inequality. Graph the solution set. - \left| \frac { 5 y + 20 } { 4 } \right| > 5$

Solve the absolute value equation. - $| x - 6 | = | 4 - x |$

Graph the inequality. - $x-y<-6$

Graph the inequality. - $7 x-5 y>0$

Solve the compound inequality. Graph the solution set. - $0 \leq \frac { 3 x + 1 } { 2 } < 3$ $Solve the compound inequality. Graph the solution set. - 0 \leq \frac { 3 x + 1 } { 2 } < 3$

Solve the inequality. Graph the solution set. - $| x | + 2 \geq 5$ $Solve the inequality. Graph the solution set. - | x | + 2 \geq 5$

Solve the absolute value equation. - $| 6 x + 7 | + 3 = 8$

Graph the inequality. - $x+3 y \leq 3$ $Graph the inequality. - x+3 y \leq 3$

Solve the absolute value equation. - $| 6 x | + 3 = 5$

List the elements of the set. -If $A = \{ x \mid x$ is an even integer $\}$ and $B = \{ 29,31,33,35 \}$ , list the elements of $A \cup B$ .

Solve the compound inequality. Graph the solution set. - $x + 6 < 10$ and $- 6 x < - 30$

Solve the compound inequality. Graph the solution set. - $- \frac { 1 } { 3 } \leq \frac { 4 x - 1 } { 9 } < \frac { 1 } { 3 }$ $Solve the compound inequality. Graph the solution set. - - \frac { 1 } { 3 } \leq \frac { 4 x - 1 } { 9 } < \frac { 1 } { 3 }$

Write the inequality. -Write $- 11 \leq x \leq 11$ as an inequality containing absolute value.

Solve the inequality. Graph the solution set. -

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

Match the inequality with its graph. - y≤8y \leq 8y≤8

Solve the compound inequality. Graph the solution set. - 5≤2t+1≤135 \leq 2 t + 1 \leq 135≤2t+1≤13

Graph the inequality. - x−4y≤4x-4 y \leq 4x−4y≤4

Graph the inequality. - −3x+y>6-3 x+y>6−3x+y>6

Solve the compound inequality. Graph the solution set. - −7x+1≥15- 7 x + 1 \geq 15−7x+1≥15 or 6x+3≥−216 x + 3 \geq - 216x+3≥−21

Solve the compound inequality. Graph the solution set. - −25≤−3c−4<−10- 25 \leq - 3 c - 4 < - 10−25≤−3c−4<−10

Solve the inequality. Graph the solution set. - ∣5y+204∣>5\left| \frac { 5 y + 20 } { 4 } \right| > 5​45y+20​​>5

Solve the absolute value equation. - ∣x−6∣=∣4−x∣| x - 6 | = | 4 - x |∣x−6∣=∣4−x∣

Graph the inequality. - x−y<−6x-y<-6x−y<−6

Graph the inequality. - 7x−5y>07 x-5 y>07x−5y>0

Solve the compound inequality. Graph the solution set. - 0≤3x+12<30 \leq \frac { 3 x + 1 } { 2 } < 30≤23x+1​<3

Solve the inequality. Graph the solution set. - ∣x∣+2≥5| x | + 2 \geq 5∣x∣+2≥5

Solve the absolute value equation. - ∣6x+7∣+3=8| 6 x + 7 | + 3 = 8∣6x+7∣+3=8

Graph the inequality. - x+3y≤3x+3 y \leq 3x+3y≤3

Solve the absolute value equation. - ∣6x∣+3=5| 6 x | + 3 = 5∣6x∣+3=5

List the elements of the set. -If A={x∣xA = \{ x \mid xA={x∣x is an even integer }\}} and B={29,31,33,35}B = \{ 29,31,33,35 \}B={29,31,33,35} , list the elements of A∪BA \cup BA∪B .

Solve the compound inequality. Graph the solution set. - x+6<10x + 6 < 10x+6<10 and −6x<−30- 6 x < - 30−6x<−30

Solve the compound inequality. Graph the solution set. - −13≤4x−19<13- \frac { 1 } { 3 } \leq \frac { 4 x - 1 } { 9 } < \frac { 1 } { 3 }−31​≤94x−1​<31​

Write the inequality. -Write −11≤x≤11- 11 \leq x \leq 11−11≤x≤11 as an inequality containing absolute value.

Solve the inequality. Graph the solution set. -

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

Match the inequality with its graph. - $y \leq 8$

Solve the compound inequality. Graph the solution set. - $5 \leq 2 t + 1 \leq 13$ $Solve the compound inequality. Graph the solution set. - 5 \leq 2 t + 1 \leq 13$

Graph the inequality. - $x-4 y \leq 4$ $Graph the inequality. - x-4 y \leq 4$

Graph the inequality. - $-3 x+y>6$

Solve the compound inequality. Graph the solution set. - $- 7 x + 1 \geq 15$ or $6 x + 3 \geq - 21$ $Solve the compound inequality. Graph the solution set. - - 7 x + 1 \geq 15 or 6 x + 3 \geq - 21$

Solve the compound inequality. Graph the solution set. - $- 25 \leq - 3 c - 4 < - 10$ $Solve the compound inequality. Graph the solution set. - - 25 \leq - 3 c - 4 < - 10$

Solve the inequality. Graph the solution set. - $\left| \frac { 5 y + 20 } { 4 } \right| > 5$ $Solve the inequality. Graph the solution set. - \left| \frac { 5 y + 20 } { 4 } \right| > 5$

Solve the absolute value equation. - $| x - 6 | = | 4 - x |$

Graph the inequality. - $x-y<-6$

Graph the inequality. - $7 x-5 y>0$

Solve the compound inequality. Graph the solution set. - $0 \leq \frac { 3 x + 1 } { 2 } < 3$ $Solve the compound inequality. Graph the solution set. - 0 \leq \frac { 3 x + 1 } { 2 } < 3$

Solve the inequality. Graph the solution set. - $| x | + 2 \geq 5$ $Solve the inequality. Graph the solution set. - | x | + 2 \geq 5$

Solve the absolute value equation. - $| 6 x + 7 | + 3 = 8$

Graph the inequality. - $x+3 y \leq 3$ $Graph the inequality. - x+3 y \leq 3$

Solve the absolute value equation. - $| 6 x | + 3 = 5$

List the elements of the set. -If $A = \{ x \mid x$ is an even integer $\}$ and $B = \{ 29,31,33,35 \}$ , list the elements of $A \cup B$ .

Solve the compound inequality. Graph the solution set. - $x + 6 < 10$ and $- 6 x < - 30$

Solve the compound inequality. Graph the solution set. - $- \frac { 1 } { 3 } \leq \frac { 4 x - 1 } { 9 } < \frac { 1 } { 3 }$ $Solve the compound inequality. Graph the solution set. - - \frac { 1 } { 3 } \leq \frac { 4 x - 1 } { 9 } < \frac { 1 } { 3 }$

Write the inequality. -Write $- 11 \leq x \leq 11$ as an inequality containing absolute value.