Question 1

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

Accepted Answer

A) True 
 B)False

Question 2

Graph the inequality.
-$-2 x-3 y \leq 6$

Accepted Answer

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

Question 3

Graph the inequality.
-$7 x+y<3$

Accepted Answer

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

Question 4

List the elements of the set.
-If $\mathrm { A } = \{ 21,23,24,25,28 \}$ and $\mathrm { B } = \{ 21,23,24,25 \}$, list the elements of $\mathrm { A } \cap \mathrm { B }$.

Accepted Answer

A)  $\{ 28 \}$ 
B)  $\{ 21,23,24,25 \}$ 
C)  {  } 
D)  $\{ 21,23,24,25,28 \}$ 
A)  $\{ 28 \}$ 
B)  $\{ 21,23,24,25 \}$ 
C)  {  } 
D)  $\{ 21,23,24,25,28 \}$

Question 5

Solve the inequality. Graph the solution set.
-$| 8 k - 2 | > - 3$

Accepted Answer

A)  $\left( \frac { 5 } { 8 } , \infty \right)$
  
B)  $( - \infty , \infty )$
  
C)  $\left( - \frac { 1 } { 8 } , \frac { 5 } { 8 } \right)$
  
D)  $\left( - \infty , - \frac { 1 } { 8 } \right) \cup \left( \frac { 5 } { 8 } , \infty \right)$
  
A)  $\left( \frac { 5 } { 8 } , \infty \right)$
  
B)  $( - \infty , \infty )$
  
C)  $\left( - \frac { 1 } { 8 } , \frac { 5 } { 8 } \right)$
  
D)  $\left( - \infty , - \frac { 1 } { 8 } \right) \cup \left( \frac { 5 } { 8 } , \infty \right)$

Question 6

Graph the solution of the system of linear inequalities.
-$\left\{\begin{array}{l}
y \leq 4 \
x \geq 5
\end{array}\right.$

Accepted Answer

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

Question 7

Determine whether the ordered pair given is a solution of the linear inequality in two variables.
-$y > - x + 6 ; ( 5,4 )$

Accepted Answer

A) True 
 B)False

Question 8

Solve the compound inequality. Graph the solution set.
-$- 9 x > - 27$ and $x + 9 > 6$

Accepted Answer

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

Question 9

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

Accepted Answer

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

Question 10

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

Accepted Answer

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

Question 11

Graph the inequality.
-$3 x+7 y \leq 0$

Accepted Answer

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

Question 12

Graph the solution of the system of linear inequalities.
-$\left\{\begin{array}{l}
y<2 x+6 \
y \geq x-7
\end{array}\right.$

Accepted Answer

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

Question 13

Solve the inequality. Graph the solution set.
-$| x + 19 | < 7$

Accepted Answer

A)  $( - \infty , - 26 )$
  
B) $( 12,26 )$
  
C) $( - \infty , - 12 )$
  
D)  $( - 26 , - 12 )$
  
A)  $( - \infty , - 26 )$
  
B) $( 12,26 )$
  
C) $( - \infty , - 12 )$
  
D)  $( - 26 , - 12 )$

Question 14

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

Accepted Answer

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

Question 15

Solve the absolute value equation.
-$\left| \frac { 3 x + 3 } { 5 } \right| = 4$

Accepted Answer

A)  $- \frac { 17 } { 3 }$ 
B)  $\frac { 23 } { 3 }$ 
C)  $\varnothing$ 
D)  $\frac { 17 } { 3 } , - \frac { 23 } { 3 }$ 
A)  $- \frac { 17 } { 3 }$ 
B)  $\frac { 23 } { 3 }$ 
C)  $\varnothing$ 
D)  $\frac { 17 } { 3 } , - \frac { 23 } { 3 }$

Question 16

Solve the equation or inequality.
-$| 2 x + 3 | + 7 = 9$

Accepted Answer

A)  $- \frac { 1 } { 3 } , - \frac { 5 } { 3 }$ 
B)  $- \frac { 1 } { 2 } , - \frac { 5 } { 2 }$ 
C)  $\varnothing$ 
D)  $\frac { 1 } { 2 } , \frac { 5 } { 2 }$ 
A)  $- \frac { 1 } { 3 } , - \frac { 5 } { 3 }$ 
B)  $- \frac { 1 } { 2 } , - \frac { 5 } { 2 }$ 
C)  $\varnothing$ 
D)  $\frac { 1 } { 2 } , \frac { 5 } { 2 }$

Question 17

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

-The________ of two sets is the set of all elements common to both sets.

Accepted Answer

A)  union 
B)  solution 
C)  intersection 
D)  absolute value 
A)  union 
B)  solution 
C)  intersection 
D)  absolute value

Question 18

Graph the inequality.
-$-7 x-8 y>0$

Accepted Answer

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

Question 19

Solve the absolute value equation.
-$\left| \frac { 4 x - 2 } { 4 } \right| = | - 4 |$

Accepted Answer

A)  $\frac { 7 } { 2 }$ 
B)  $\varnothing$ 
C)  $- \frac { 9 } { 2 }$ 
D)  $\frac { 9 } { 2 } , - \frac { 7 } { 2 }$ 
A)  $\frac { 7 } { 2 }$ 
B)  $\varnothing$ 
C)  $- \frac { 9 } { 2 }$ 
D)  $\frac { 9 } { 2 } , - \frac { 7 } { 2 }$

Question 20

Solve.
-Cindy has scores of $72,84,85$, and 90 on her biology tests. Use a compound inequality to find the range of scores she can make on her final exam to receive a $C$ in the course. The final exam counts as two tests, and a C is received if the final course average is from 70 to 79 .

Accepted Answer

A)  $44.5 \leq$ final score $\leq 71.5$ 
B)  $89 \leq$ final score $\leq 143$ 
C)  $9.5 \leq$ final score $\leq 32$ 
D)  $70 \leq$ final score $\leq 79$ 
A)  $44.5 \leq$ final score $\leq 71.5$ 
B)  $89 \leq$ final score $\leq 143$ 
C)  $9.5 \leq$ final score $\leq 32$ 
D)  $70 \leq$ final score $\leq 79$

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

Graph the inequality. - $-2 x-3 y \leq 6$ $Graph the inequality. - -2 x-3 y \leq 6$

Graph the inequality. - $7 x+y<3$

List the elements of the set. -If $\mathrm { A } = \{ 21,23,24,25,28 \}$ and $\mathrm { B } = \{ 21,23,24,25 \}$ , list the elements of $\mathrm { A } \cap \mathrm { B }$ .

Solve the inequality. Graph the solution set. - $| 8 k - 2 | > - 3$

Graph the solution of the system of linear inequalities. - $\left\{\begin{array}{l}y \leq 4 \\x \geq 5\end{array}\right.$ $Graph the solution of the system of linear inequalities. - \left\{\begin{array}{l} y \leq 4 \\ x \geq 5 \end{array}\right.$

Determine whether the ordered pair given is a solution of the linear inequality in two variables. - $y > - x + 6 ; ( 5,4 )$

Solve the compound inequality. Graph the solution set. - $- 9 x > - 27$ and $x + 9 > 6$

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

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

Graph the inequality. - $3 x+7 y \leq 0$ $Graph the inequality. - 3 x+7 y \leq 0$

Graph the solution of the system of linear inequalities. - $\left\{\begin{array}{l}y<2 x+6 \\y \geq x-7\end{array}\right.$ $Graph the solution of the system of linear inequalities. - \left\{\begin{array}{l} y<2 x+6 \\ y \geq x-7 \end{array}\right.$

Solve the inequality. Graph the solution set. - $| x + 19 | < 7$

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

Solve the absolute value equation. - $\left| \frac { 3 x + 3 } { 5 } \right| = 4$

Solve the equation or inequality. - $| 2 x + 3 | + 7 = 9$

Fill in the blank with one of the words or phrases listed below. compound inequality solution system of linear inequalities absolute value union intersection -The________ of two sets is the set of all elements common to both sets.

Graph the inequality. - $-7 x-8 y>0$

Solve the absolute value equation. - $\left| \frac { 4 x - 2 } { 4 } \right| = | - 4 |$

Solve. -Cindy has scores of $72,84,85$ , and 90 on her biology tests. Use a compound inequality to find the range of scores she can make on her final exam to receive a $C$ in the course. The final exam counts as two tests, and a C is received if the final course average is from 70 to 79 .

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

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

Graph the inequality. - −2x−3y≤6-2 x-3 y \leq 6−2x−3y≤6

Graph the inequality. - 7x+y<37 x+y<37x+y<3

List the elements of the set. -If A={21,23,24,25,28}\mathrm { A } = \{ 21,23,24,25,28 \}A={21,23,24,25,28} and B={21,23,24,25}\mathrm { B } = \{ 21,23,24,25 \}B={21,23,24,25} , list the elements of A∩B\mathrm { A } \cap \mathrm { B }A∩B .

Solve the inequality. Graph the solution set. - ∣8k−2∣>−3| 8 k - 2 | > - 3∣8k−2∣>−3

Graph the solution of the system of linear inequalities. - {y≤4x≥5\left\{\begin{array}{l}y \leq 4 \\x \geq 5\end{array}\right.{y≤4x≥5​

Determine whether the ordered pair given is a solution of the linear inequality in two variables. - y>−x+6;(5,4)y > - x + 6 ; ( 5,4 )y>−x+6;(5,4)

Solve the compound inequality. Graph the solution set. - −9x>−27- 9 x > - 27−9x>−27 and x+9>6x + 9 > 6x+9>6

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

Graph the solution of the system of linear inequalities. - {x≥5yx+5y≤2\left\{\begin{aligned}x & \geq 5 y \\x+5 y & \leq 2\end{aligned}\right.{xx+5y​≥5y≤2​

Graph the inequality. - 3x+7y≤03 x+7 y \leq 03x+7y≤0

Graph the solution of the system of linear inequalities. - {y<2x+6y≥x−7\left\{\begin{array}{l}y<2 x+6 \\y \geq x-7\end{array}\right.{y<2x+6y≥x−7​

Solve the inequality. Graph the solution set. - ∣x+19∣<7| x + 19 | < 7∣x+19∣<7

Solve the inequality. Graph the solution set. - ∣x∣≤2| x | \leq 2∣x∣≤2

Solve the absolute value equation. - ∣3x+35∣=4\left| \frac { 3 x + 3 } { 5 } \right| = 4​53x+3​​=4

Solve the equation or inequality. - ∣2x+3∣+7=9| 2 x + 3 | + 7 = 9∣2x+3∣+7=9

Fill in the blank with one of the words or phrases listed below. compound inequality solution system of linear inequalities absolute value union intersection -The________ of two sets is the set of all elements common to both sets.

Graph the inequality. - −7x−8y>0-7 x-8 y>0−7x−8y>0

Solve the absolute value equation. - ∣4x−24∣=∣−4∣\left| \frac { 4 x - 2 } { 4 } \right| = | - 4 |​44x−2​​=∣−4∣

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

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

Graph the inequality. - $-2 x-3 y \leq 6$ $Graph the inequality. - -2 x-3 y \leq 6$

Graph the inequality. - $7 x+y<3$

List the elements of the set. -If $\mathrm { A } = \{ 21,23,24,25,28 \}$ and $\mathrm { B } = \{ 21,23,24,25 \}$ , list the elements of $\mathrm { A } \cap \mathrm { B }$ .

Solve the inequality. Graph the solution set. - $| 8 k - 2 | > - 3$

Graph the solution of the system of linear inequalities. - $\left\{\begin{array}{l}y \leq 4 \\x \geq 5\end{array}\right.$ $Graph the solution of the system of linear inequalities. - \left\{\begin{array}{l} y \leq 4 \\ x \geq 5 \end{array}\right.$

Determine whether the ordered pair given is a solution of the linear inequality in two variables. - $y > - x + 6 ; ( 5,4 )$

Solve the compound inequality. Graph the solution set. - $- 9 x > - 27$ and $x + 9 > 6$

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

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

Graph the inequality. - $3 x+7 y \leq 0$ $Graph the inequality. - 3 x+7 y \leq 0$

Graph the solution of the system of linear inequalities. - $\left\{\begin{array}{l}y<2 x+6 \\y \geq x-7\end{array}\right.$ $Graph the solution of the system of linear inequalities. - \left\{\begin{array}{l} y<2 x+6 \\ y \geq x-7 \end{array}\right.$

Solve the inequality. Graph the solution set. - $| x + 19 | < 7$

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

Solve the absolute value equation. - $\left| \frac { 3 x + 3 } { 5 } \right| = 4$

Solve the equation or inequality. - $| 2 x + 3 | + 7 = 9$

Graph the inequality. - $-7 x-8 y>0$

Solve the absolute value equation. - $\left| \frac { 4 x - 2 } { 4 } \right| = | - 4 |$