Question 1

Solve the equation or inequality.
-$- 2 < 2 ( x - 2 ) \leq 7$

Accepted Answer

A)  $( - \infty , 1 ) \cup \left[ \frac { 3 } { 2 } , \infty \right]$ 
B)  $\left( - 3 , \frac { 3 } { 2 } \right]$ 
C)  $\left[ 1 , \frac { 11 } { 2 } \right]$ 
D)  $\left( \frac { 1 } { 2 } , \frac { 9 } { 2 } \right]$ 
A)  $( - \infty , 1 ) \cup \left[ \frac { 3 } { 2 } , \infty \right]$ 
B)  $\left( - 3 , \frac { 3 } { 2 } \right]$ 
C)  $\left[ 1 , \frac { 11 } { 2 } \right]$ 
D)  $\left( \frac { 1 } { 2 } , \frac { 9 } { 2 } \right]$

Question 2

Graph the linear inequality.
-$y \geq 5 x$

Accepted Answer

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

Question 3

Graph the inequality.
-$y<\frac{1}{2} x$

Accepted Answer

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

Question 4

Solve the inequality. Graph the solution set.
-$| x | > - 4$

Accepted Answer

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

Question 5

Solve the equation or inequality.
-$- 5 \leq \frac { 2 x - 5 } { 2 } < 6$

Accepted Answer

A)  $[ 0,11 )$ 
B)  $\left[ - \frac { 5 } { 2 } , \frac { 17 } { 2 } \right]$ 
C)  $\left[ - \frac { 15 } { 2 } , \frac { 7 } { 2 } \right]$ 
D)  $\left[ - \infty , - \frac { 5 } { 2 } \right] \cup [ 11 , \infty )$ 
A)  $[ 0,11 )$ 
B)  $\left[ - \frac { 5 } { 2 } , \frac { 17 } { 2 } \right]$ 
C)  $\left[ - \frac { 15 } { 2 } , \frac { 7 } { 2 } \right]$ 
D)  $\left[ - \infty , - \frac { 5 } { 2 } \right] \cup [ 11 , \infty )$

Question 6

Graph the solution of the system of linear inequalities.
-$\left\{\begin{array}{r}
y+3 x \geq-2 \
5 x-2 y \leq 12
\end{array}\right.$

Accepted Answer

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

Question 7

Solve the inequality. Graph the solution set.
-$\left| \frac { 7 y + 28 } { 4 } \right| < 7$

Accepted Answer

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

Question 8

Solve the inequality. Graph the solution set.
-

Accepted Answer

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

Question 9

Solve the compound inequality. Graph the solution set.
-$2 \leq \frac { 9 } { 4 } x - 7 < 20$

Accepted Answer

A)  $( 4,5 ]$
  
B)  $[ 4,12 )$
  
C) $( 4,12 ]$
  
D)  $[ 4,5 )$
  
A)  $( 4,5 ]$
  
B)  $[ 4,12 )$
  
C) $( 4,12 ]$
  
D)  $[ 4,5 )$

Question 10

Solve the inequality. Graph the solution set.
-

Accepted Answer

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

Question 11

Graph the solution of the system of linear inequalities.
-$\left\{ \begin{array} { l } 
y \leq - 3 x - 3 \
y \geq x + 7
\end{array} \right.$

Accepted Answer

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

Question 12

Match the inequality with its graph.
-$2 x + 4 y \leq 8$

Accepted Answer

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

Question 13

List the elements of the set.
-If $\mathrm { A } = \{ 37,38,39,42 \}$ and $\mathrm { B } = \{ 35,37,38,40 \}$, list the elements of $\mathrm { A } \cup \mathrm { B }$.

Accepted Answer

A)  $\{ 35,39,40,42 \}$ 
B) {   } 
C)  $\{ 37,38 \}$ 
D)  $\{ 35,37,38,39,40,42 \}$ 
A)  $\{ 35,39,40,42 \}$ 
B) {   } 
C)  $\{ 37,38 \}$ 
D)  $\{ 35,37,38,39,40,42 \}$

Question 14

Solve the compound inequality. Graph the solution set.
-$6 x - 4 < 2 x \text { or } - 3 x \leq - 9$

Accepted Answer

A)  $( - \infty , 1 ) \cup [ 3 , \infty )$
  
B)  $\varnothing$
  
C)  $( 1,3 )$
  
D)  $[ 1,3 ]$
  
A)  $( - \infty , 1 ) \cup [ 3 , \infty )$
  
B)  $\varnothing$
  
C)  $( 1,3 )$
  
D)  $[ 1,3 ]$

Question 15

Solve the absolute value equation.
-$| 9 x | = 0$

Accepted Answer

A)  9 
B)  $\frac { 1 } { 9 }$ 
C)  0 
D)  $9 , - 9$ 
A)  9 
B)  $\frac { 1 } { 9 }$ 
C)  0 
D)  $9 , - 9$

Question 16

Graph the inequality.
-$-2 x-4 y \leq-8$

Accepted Answer

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

Question 17

Solve the equation or inequality.
-$| x + 1 | - 3 < 5$

Accepted Answer

A)  $\varnothing$ 
B)  $( - 9,7 )$ 
C)  $( - 9,5 )$ 
D)  $[ - 9,7 ]$ 
A)  $\varnothing$ 
B)  $( - 9,7 )$ 
C)  $( - 9,5 )$ 
D)  $[ - 9,7 ]$

Question 18

Determine whether the ordered pair given is a solution of the linear inequality in two variables.
-$x + 2 y < - 6 ; ( 0,0 )$

Accepted Answer

A) True 
 B)False

Question 19

Solve the inequality. Graph the solution set.
-$| x + 5 | - 9 \geq - 1$

Accepted Answer

A)  $[ 3 , \infty )$
  
B)  $[ - 13,3 ]$
  
C)  $( - 13,3 )$
  
D)  $( - \infty , - 13 ] \cup [ 3 , \infty )$
  
A)  $[ 3 , \infty )$
  
B)  $[ - 13,3 ]$
  
C)  $( - 13,3 )$
  
D)  $( - \infty , - 13 ] \cup [ 3 , \infty )$

Question 20

Solve the compound inequality. Graph the solution set.
-$- 8 x  9$

Accepted Answer

A) $(5, \infty)$
  
B)  $( 1,5 )$
  
C) $( - \infty , 1 ) \cup ( 5 , \infty )$
  
D) $\varnothing$
  
A) $(5, \infty)$
  
B)  $( 1,5 )$
  
C) $( - \infty , 1 ) \cup ( 5 , \infty )$
  
D) $\varnothing$

Solve the equation or inequality. - $- 2 < 2 ( x - 2 ) \leq 7$

Graph the linear inequality. - $y \geq 5 x$ $Graph the linear inequality. - y \geq 5 x$

Graph the inequality. - $y<\frac{1}{2} x$ $Graph the inequality. - y<\frac{1}{2} x$

Solve the inequality. Graph the solution set. - $| x | > - 4$

Solve the equation or inequality. - $- 5 \leq \frac { 2 x - 5 } { 2 } < 6$

Graph the solution of the system of linear inequalities. - $\left\{\begin{array}{r}y+3 x \geq-2 \\5 x-2 y \leq 12\end{array}\right.$ $Graph the solution of the system of linear inequalities. - \left\{\begin{array}{r} y+3 x \geq-2 \\ 5 x-2 y \leq 12 \end{array}\right.$

Solve the inequality. Graph the solution set. - $\left| \frac { 7 y + 28 } { 4 } \right| < 7$ $Solve the inequality. Graph the solution set. - \left| \frac { 7 y + 28 } { 4 } \right| < 7$

Solve the inequality. Graph the solution set. -

Solve the compound inequality. Graph the solution set. - $2 \leq \frac { 9 } { 4 } x - 7 < 20$ $Solve the compound inequality. Graph the solution set. - 2 \leq \frac { 9 } { 4 } x - 7 < 20$

Solve the inequality. Graph the solution set. -

Graph the solution of the system of linear inequalities. - $\left\{ \begin{array} { l } y \leq - 3 x - 3 \\y \geq x + 7\end{array} \right.$ $Graph the solution of the system of linear inequalities. - \left\{ \begin{array} { l } y \leq - 3 x - 3 \\ y \geq x + 7 \end{array} \right.$

Match the inequality with its graph. - $2 x + 4 y \leq 8$

List the elements of the set. -If $\mathrm { A } = \{ 37,38,39,42 \}$ and $\mathrm { B } = \{ 35,37,38,40 \}$ , list the elements of $\mathrm { A } \cup \mathrm { B }$ .

Solve the compound inequality. Graph the solution set. - $6 x - 4 < 2 x \text { or } - 3 x \leq - 9$ $Solve the compound inequality. Graph the solution set. - 6 x - 4 < 2 x \text { or } - 3 x \leq - 9$

Solve the absolute value equation. - $| 9 x | = 0$

Graph the inequality. - $-2 x-4 y \leq-8$ $Graph the inequality. - -2 x-4 y \leq-8$

Solve the equation or inequality. - $| x + 1 | - 3 < 5$

Determine whether the ordered pair given is a solution of the linear inequality in two variables. - $x + 2 y < - 6 ; ( 0,0 )$

Solve the inequality. Graph the solution set. - $| x + 5 | - 9 \geq - 1$ $Solve the inequality. Graph the solution set. - | x + 5 | - 9 \geq - 1$

Solve the compound inequality. Graph the solution set. - $- 8 x < - 40$ and $x + 8 > 9$

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 equation or inequality. - −2<2(x−2)≤7- 2 < 2 ( x - 2 ) \leq 7−2<2(x−2)≤7

Graph the linear inequality. - y≥5xy \geq 5 xy≥5x

Graph the inequality. - y<12xy<\frac{1}{2} xy<21​x

Solve the inequality. Graph the solution set. - ∣x∣>−4| x | > - 4∣x∣>−4

Solve the equation or inequality. - −5≤2x−52<6- 5 \leq \frac { 2 x - 5 } { 2 } < 6−5≤22x−5​<6

Graph the solution of the system of linear inequalities. - {y+3x≥−25x−2y≤12\left\{\begin{array}{r}y+3 x \geq-2 \\5 x-2 y \leq 12\end{array}\right.{y+3x≥−25x−2y≤12​

Solve the inequality. Graph the solution set. - ∣7y+284∣<7\left| \frac { 7 y + 28 } { 4 } \right| < 7​47y+28​​<7

Solve the inequality. Graph the solution set. -

Solve the compound inequality. Graph the solution set. - 2≤94x−7<202 \leq \frac { 9 } { 4 } x - 7 < 202≤49​x−7<20

Solve the inequality. Graph the solution set. -

Graph the solution of the system of linear inequalities. - {y≤−3x−3y≥x+7\left\{ \begin{array} { l } y \leq - 3 x - 3 \\y \geq x + 7\end{array} \right.{y≤−3x−3y≥x+7​

Match the inequality with its graph. - 2x+4y≤82 x + 4 y \leq 82x+4y≤8

List the elements of the set. -If A={37,38,39,42}\mathrm { A } = \{ 37,38,39,42 \}A={37,38,39,42} and B={35,37,38,40}\mathrm { B } = \{ 35,37,38,40 \}B={35,37,38,40} , list the elements of A∪B\mathrm { A } \cup \mathrm { B }A∪B .

Solve the compound inequality. Graph the solution set. - 6x−4<2x or −3x≤−96 x - 4 < 2 x \text { or } - 3 x \leq - 96x−4<2x or −3x≤−9

Solve the absolute value equation. - ∣9x∣=0| 9 x | = 0∣9x∣=0

Graph the inequality. - −2x−4y≤−8-2 x-4 y \leq-8−2x−4y≤−8

Solve the equation or inequality. - ∣x+1∣−3<5| x + 1 | - 3 < 5∣x+1∣−3<5

Determine whether the ordered pair given is a solution of the linear inequality in two variables. - x+2y<−6;(0,0)x + 2 y < - 6 ; ( 0,0 )x+2y<−6;(0,0)

Solve the inequality. Graph the solution set. - ∣x+5∣−9≥−1| x + 5 | - 9 \geq - 1∣x+5∣−9≥−1

Solve the compound inequality. Graph the solution set. - −8x<−40- 8 x < - 40−8x<−40 and x+8>9x + 8 > 9x+8>9

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 equation or inequality. - $- 2 < 2 ( x - 2 ) \leq 7$

Graph the linear inequality. - $y \geq 5 x$ $Graph the linear inequality. - y \geq 5 x$

Graph the inequality. - $y<\frac{1}{2} x$ $Graph the inequality. - y<\frac{1}{2} x$

Solve the inequality. Graph the solution set. - $| x | > - 4$

Solve the equation or inequality. - $- 5 \leq \frac { 2 x - 5 } { 2 } < 6$

Graph the solution of the system of linear inequalities. - $\left\{\begin{array}{r}y+3 x \geq-2 \\5 x-2 y \leq 12\end{array}\right.$ $Graph the solution of the system of linear inequalities. - \left\{\begin{array}{r} y+3 x \geq-2 \\ 5 x-2 y \leq 12 \end{array}\right.$

Solve the inequality. Graph the solution set. - $\left| \frac { 7 y + 28 } { 4 } \right| < 7$ $Solve the inequality. Graph the solution set. - \left| \frac { 7 y + 28 } { 4 } \right| < 7$

Solve the compound inequality. Graph the solution set. - $2 \leq \frac { 9 } { 4 } x - 7 < 20$ $Solve the compound inequality. Graph the solution set. - 2 \leq \frac { 9 } { 4 } x - 7 < 20$

Graph the solution of the system of linear inequalities. - $\left\{ \begin{array} { l } y \leq - 3 x - 3 \\y \geq x + 7\end{array} \right.$ $Graph the solution of the system of linear inequalities. - \left\{ \begin{array} { l } y \leq - 3 x - 3 \\ y \geq x + 7 \end{array} \right.$

Match the inequality with its graph. - $2 x + 4 y \leq 8$

List the elements of the set. -If $\mathrm { A } = \{ 37,38,39,42 \}$ and $\mathrm { B } = \{ 35,37,38,40 \}$ , list the elements of $\mathrm { A } \cup \mathrm { B }$ .

Solve the compound inequality. Graph the solution set. - $6 x - 4 < 2 x \text { or } - 3 x \leq - 9$ $Solve the compound inequality. Graph the solution set. - 6 x - 4 < 2 x \text { or } - 3 x \leq - 9$

Solve the absolute value equation. - $| 9 x | = 0$

Graph the inequality. - $-2 x-4 y \leq-8$ $Graph the inequality. - -2 x-4 y \leq-8$

Solve the equation or inequality. - $| x + 1 | - 3 < 5$

Determine whether the ordered pair given is a solution of the linear inequality in two variables. - $x + 2 y < - 6 ; ( 0,0 )$

Solve the inequality. Graph the solution set. - $| x + 5 | - 9 \geq - 1$ $Solve the inequality. Graph the solution set. - | x + 5 | - 9 \geq - 1$

Solve the compound inequality. Graph the solution set. - $- 8 x < - 40$ and $x + 8 > 9$