Question 1

Solve the inequality. Then graph the solution set and write it in interval notation.
-$| x + 10 | > 17$

Accepted Answer

A)  $( - \infty , - 27 ) \cup ( 7 , \infty )$
  
B)  $( - 7,27 )$
  
C)  $( 7 , \infty )$
  
D)  $( - 27,7 )$
  
A)  $( - \infty , - 27 ) \cup ( 7 , \infty )$
  
B)  $( - 7,27 )$
  
C)  $( 7 , \infty )$
  
D)  $( - 27,7 )$

Question 2

Solve the compound inequality. Give the answer in interval notation.
-$- 3 \leq \frac { 5 } { 3 } x - 8 < 12$

Accepted Answer

A)   (3,4] 
B)   [3,12) 
C)   (3,12] 
D)   [3,4) 
A)   (3,4] 
B)   [3,12) 
C)   (3,12] 
D)   [3,4)

Question 3

Solve the inequality. Write the solution set in interval notation and graph the solution set.
-$x + 6 < 1$

Accepted Answer

A)  $[ - \sqrt { 3 } , 00 )$
  
B)  $( - \infty , 7 )$
  
C)  $( - \infty , - 5 ]$
  
D)  $( - \infty , - 5 )$
  
A)  $[ - \sqrt { 3 } , 00 )$
  
B)  $( - \infty , 7 )$
  
C)  $( - \infty , - 5 ]$
  
D)  $( - \infty , - 5 )$

Question 4

Solve the equation.
-3(5 x-2)-58=8 x-1

Accepted Answer

A)   {441} 
B)   {-9} 
C)   {9} 
D)   {63} 
A)   {441} 
B)   {-9} 
C)   {9} 
D)   {63}

Question 5

Graph the solution set of the inequality and write it in interval notation.
-$\{ x \mid - 2 \leq x < 2 \}$

Accepted Answer

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

Question 6

Write the following as an algebraic expression. Then simplify.
-The perimeter of the rectangle with width x and length x + 52.

Accepted Answer

A)   4 x+52 
B)   x2+52x 
C)   2x+52 
D)   4x+104 
A)   4 x+52 
B)   x2+52x 
C)   2x+52 
D)   4x+104

Question 7

Solve the equation.
-$| x + 6 | = | 9 - x |$

Accepted Answer

A)  $\left\{ \frac { 3 } { 2 } \right\}$ 
B)   {3} 
C)  $\left\{ - \frac { 2 } { 3 } \right\}$ 
D)  $\phi$ 
A)  $\left\{ \frac { 3 } { 2 } \right\}$ 
B)   {3} 
C)  $\left\{ - \frac { 2 } { 3 } \right\}$ 
D)  $\phi$

Question 8

Solve the equation for the specified variable.
- V=  lwh  for  w

Accepted Answer

A)  $w = \frac { V l } { h }$ 
B)  $\mathrm { w } = \frac { \mathrm { Vh } } { \mathrm { l } }$ 
C)   w=Vlh 
D)  $w = \frac { V } { l h }$ 
A)  $w = \frac { V l } { h }$ 
B)  $\mathrm { w } = \frac { \mathrm { Vh } } { \mathrm { l } }$ 
C)   w=Vlh 
D)  $w = \frac { V } { l h }$

Question 9

Solve the inequality. Write the solution set in interval notation and graph the solution set.
-$4 x + 1 > 3 x + 8$

Accepted Answer

A)    
B)  $( 7 , \infty )$
  
C)  $( - \infty , 7 ]$
  
D)  $( 9 , \infty )$
  
A)    
B)  $( 7 , \infty )$
  
C)  $( - \infty , 7 ]$
  
D)  $( 9 , \infty )$

Question 10

Write the solution set using interval notation.
-$20 - 5 x \leq - 5$

Accepted Answer

A)  $( - \infty , 5 )$ 
B)  $[ 5 , \infty )$ 
C)  $[ - 5 , \infty )$ 
D)  $( - \infty , - 5 )$ 
A)  $( - \infty , 5 )$ 
B)  $[ 5 , \infty )$ 
C)  $[ - 5 , \infty )$ 
D)  $( - \infty , - 5 )$

Question 11

Solve the equation.
- -4(x-6)-66=2 x-6(x+3)

Accepted Answer

A)   {-48} 
B)   {-84} 
C)   $\varnothing$ 
D)  {$X \mid X$ is a real number} 
A)   {-48} 
B)   {-84} 
C)   $\varnothing$ 
D)  {$X \mid X$ is a real number}

Question 12

Solve the equation.
- 1.3 x+2.1=0.8 x-2.7

Accepted Answer

A)   {-9.5} 
B)   {-9.6} 
C)   {0.104} 
D)   {-8.64} 
A)   {-9.5} 
B)   {-9.6} 
C)   {0.104} 
D)   {-8.64}

Question 13

Write the solution set using interval notation.
-$\frac { 2 } { 3 } + \frac { 6 } { 7 } \leq \frac { x } { 21 }$

Accepted Answer

A)  $( - \infty , 32 ]$ 
B)  $[ 32 , \infty )$ 
C)  $( - \infty , 32 )$ 
D)  $( 32 , \infty )$ 
A)  $( - \infty , 32 ]$ 
B)  $[ 32 , \infty )$ 
C)  $( - \infty , 32 )$ 
D)  $( 32 , \infty )$

Question 14

Solve the equation.
- 1.8(2-x)=1.6(2-x)

Accepted Answer

A)   {2} 
B)   {0.4} 
C)   {0} 
D)   {34} 
A)   {2} 
B)   {0.4} 
C)   {0} 
D)   {34}

Question 15

Write the following as an algebraic expression. Then simplify.
-The perimeter of the floor plan shown.

Accepted Answer

A)   2x+18 
B)   2x 
C)   2x+56 
D)  56 
A)   2x+18 
B)   2x 
C)   2x+56 
D)  56

Question 16

Solve the inequality. Then graph the solution set and write it in interval notation.
-$| x + 1 | + 6 \leq 10$

Accepted Answer

A)  $[ - 5,10 ]$
  
B)  $[ - 5,3 ]$
  
C)    
D)  $( - 5,3 )$
  
A)  $[ - 5,10 ]$
  
B)  $[ - 5,3 ]$
  
C)    
D)  $( - 5,3 )$

Question 17

Solve the equation.
-4 x-3-6 x=x+13+x

Accepted Answer

A)   {-4} 
B)  $\left\{ - \frac { 5 } { 0 } \right\}$ 
C)   {4} 
D)   $\phi$ 
A)   {-4} 
B)  $\left\{ - \frac { 5 } { 0 } \right\}$ 
C)   {4} 
D)   $\phi$

Question 18

Solve.
-$| 10 x | = 39$

Accepted Answer

A)   {3.9} 
B)   {0,3.9,-3.9} 
C)   {-3.9} 
D)   {3.9,-3.9} 
A)   {3.9} 
B)   {0,3.9,-3.9} 
C)   {-3.9} 
D)   {3.9,-3.9}

Question 19

Solve the equation.
-6=2 x-8

Accepted Answer

A)   {7} 
B)   {11} 
C)   {16} 
D)   {12} 
A)   {7} 
B)   {11} 
C)   {16} 
D)   {12}

Question 20

Solve the inequality. Then graph the solution set and write it in interval notation.
-$| x | \leq 4$

Accepted Answer

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

Solve the inequality. Then graph the solution set and write it in interval notation. - $| x + 10 | > 17$

Solve the compound inequality. Give the answer in interval notation. - $- 3 \leq \frac { 5 } { 3 } x - 8 < 12$

Solve the inequality. Write the solution set in interval notation and graph the solution set. - $x + 6 < 1$

Solve the equation. -3(5 x-2)-58=8 x-1

Graph the solution set of the inequality and write it in interval notation. - $\{ x \mid - 2 \leq x < 2 \}$ $Graph the solution set of the inequality and write it in interval notation. - \{ x \mid - 2 \leq x < 2 \}$

Write the following as an algebraic expression. Then simplify. -The perimeter of the rectangle with width x and length x + 52.

Solve the equation. - $| x + 6 | = | 9 - x |$

Solve the equation for the specified variable. - V= lwh for w

Solve the inequality. Write the solution set in interval notation and graph the solution set. - $4 x + 1 > 3 x + 8$

Write the solution set using interval notation. - $20 - 5 x \leq - 5$

Solve the equation. - -4(x-6)-66=2 x-6(x+3)

Solve the equation. - 1.3 x+2.1=0.8 x-2.7

Write the solution set using interval notation. - $\frac { 2 } { 3 } + \frac { 6 } { 7 } \leq \frac { x } { 21 }$

Solve the equation. - 1.8(2-x)=1.6(2-x)

Write the following as an algebraic expression. Then simplify. -The perimeter of the floor plan shown.

Solve the inequality. Then graph the solution set and write it in interval notation. - $| x + 1 | + 6 \leq 10$ $Solve the inequality. Then graph the solution set and write it in interval notation. - | x + 1 | + 6 \leq 10$

Solve the equation. -4 x-3-6 x=x+13+x

Solve. - $| 10 x | = 39$

Solve the equation. -6=2 x-8

Solve the inequality. Then graph the solution set and write it in interval notation. - $| x | \leq 4$ $Solve the inequality. Then graph the solution set and write it in interval notation. - | x | \leq 4$

Real Numbers and Algebraic Expressions

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

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Exam 2: Equations, Inequalities, and Problem Solving

Solve the inequality. Then graph the solution set and write it in interval notation. - ∣x+10∣>17| x + 10 | > 17∣x+10∣>17

Solve the compound inequality. Give the answer in interval notation. - −3≤53x−8<12- 3 \leq \frac { 5 } { 3 } x - 8 < 12−3≤35​x−8<12

Solve the inequality. Write the solution set in interval notation and graph the solution set. - x+6<1x + 6 < 1x+6<1