Question 1

Solve.
-$| 5 x + 2 | + 5 = 8$

Accepted Answer

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

Question 2

Solve.
-The president of a certain University makes three times as much money as one of the department heads. If the total of there salaries is $250,000 , find each worker's salary.

Accepted Answer

A)  President salary =$18,750; department heads salary =$6250 
B)  President salary =$187,500; department heads salary =$62,500 
C)  President salary =$125,000; department heads salary =$62,500 
D)  President salary =$62,500; department heads salary =$187,500 
A)  President salary =$18,750; department heads salary =$6250 
B)  President salary =$187,500; department heads salary =$62,500 
C)  President salary =$125,000; department heads salary =$62,500 
D)  President salary =$62,500; department heads salary =$187,500 B

Question 3

Solve the inequality. Write the solution set in interval notation and graph the solution set.
-$4 x + 9 > 4 ( x + 12 )$

Accepted Answer

A)  $( 12 , \infty )$
  
B)  $( 3 , \infty )$
  
C)  $( - \infty , \infty )$
  
D)    
A)  $( 12 , \infty )$
  
B)  $( 3 , \infty )$
  
C)  $( - \infty , \infty )$
  
D)    D

Question 4

Solve the inequality. Write the solution set in interval notation and graph the solution set.
-$7 x > 6 x - 10$

Accepted Answer

A)  $( - 10 , \infty )$
  
B)  $( - \infty , - 10 )$
  
C)  $( - \infty , 10 ]$
  
D)  $[ 10 , \infty )$
  
A)  $( - 10 , \infty )$
  
B)  $( - \infty , - 10 )$
  
C)  $( - \infty , 10 ]$
  
D)  $[ 10 , \infty )$

Question 5

Solve the inequality. Write the answer in interval notation.
-$x \geq 5 \text { or } x \geq - 1$

Accepted Answer

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

Question 6

Determine whether the number is a solution of the equation
$7 ; \quad 2 ( x - 8 ) = 16$

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 7

Determine whether the number is a solution of the equation
$- 1 ; x - 9 = x - 9$

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 8

Solve.
-$| 2 x - 3 | = 0$

Accepted Answer

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

Question 9

Write the solution set using interval notation.
-$\frac { 5 x - 65 } { 18 } < 0$

Accepted Answer

A)  $( - \infty , 13 )$ 
B)  $( - \infty , 0 )$ 
C)  $( - \infty , \infty )$ 
D)  $\varnothing$ 
A)  $( - \infty , 13 )$ 
B)  $( - \infty , 0 )$ 
C)  $( - \infty , \infty )$ 
D)  $\varnothing$

Question 10

Solve the equation for the specified variable.
-$8 x + 7 y = 10$ for y

Accepted Answer

A) $y = \frac { 8 } { 7 } x - \frac { 10 } { 7 }$ 
B)  $y = \frac { 8 x - 10 } { 7 }$ 
C)  $y = \frac { 10 - 8 x } { 7 }$ 
D)  $\frac { 8 x + 10 } { 7 }$ 
A) $y = \frac { 8 } { 7 } x - \frac { 10 } { 7 }$ 
B)  $y = \frac { 8 x - 10 } { 7 }$ 
C)  $y = \frac { 10 - 8 x } { 7 }$ 
D)  $\frac { 8 x + 10 } { 7 }$

Question 11

Solve.
-$| x | + 6 = 18$

Accepted Answer

A)   {-12,12} 
B)   {24} 
C)   {-12} 
D)   {12} 
A)   {-12,12} 
B)   {24} 
C)   {-12} 
D)   {12}

Question 12

Solve.
-Use the formula  $C=\frac{5}{9}(F-32)$ to write 221°F as degrees Celsius .

Accepted Answer

A)  140.6°C 
B)  429.8°C 
C)  105°C 
D)  90.8°C 
A)  140.6°C 
B)  429.8°C 
C)  105°C 
D)  90.8°C

Question 13

Solve the equation.
- 21.9=-21.7-x

Accepted Answer

A)   {-43.6} 
B)   {-0.2} 
C)   {43.6} 
D)   {0.2} 
A)   {-43.6} 
B)   {-0.2} 
C)   {43.6} 
D)   {0.2}

Question 14

Write the solution set using interval notation.
-4 x-3.2<6 x+5

Accepted Answer

A)  $( - 4.1 , \infty )$ 
B)  $[ - 4.1 , \infty )$ 
C)  $( - \infty , - 4.1 )$ 
D)  $( - \infty , - 4.1 ]$ 
A)  $( - 4.1 , \infty )$ 
B)  $[ - 4.1 , \infty )$ 
C)  $( - \infty , - 4.1 )$ 
D)  $( - \infty , - 4.1 ]$

Question 15

Write the solution set using interval notation.
-$\frac { 1 } { 7 } ( 2 x + 12 ) > \frac { 3 } { 14 } ( x - 1 )$

Accepted Answer

A)  $( - \infty , 15 )$ 
B)  $( 21 , \infty )$ 
C)  $( - \infty , 27 )$ 
D)  $( - 27 , \infty )$ 
A)  $( - \infty , 15 )$ 
B)  $( 21 , \infty )$ 
C)  $( - \infty , 27 )$ 
D)  $( - 27 , \infty )$

Question 16

Write the solution set using interval notation.
-$\frac { - 3 x + 10 } { 2 } < - 1$

Accepted Answer

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

Question 17

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

Accepted Answer

A) $| x | > 8$ B) $| x | \geq 8$ C) $| x | < 8$ D) $| x | \geq 9$ A) $| x | > 8$ B) $| x | \geq 8$ C) $| x | < 8$ D) $| x | \geq 9$

Question 18

Graph the solution set of the inequality and write it in interval notation.
-$\{ x \mid x \leq 1 \}$

Accepted Answer

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

Question 19

Write the following as an algebraic expression. Then simplify.
-The total value of money (in cents) of  (7x-2)  nickels,  6x  dimes, and x  quarters.

Accepted Answer

A)   (95x-10)  cents 
B)   (120x-2)  cents 
C)   (120x-10)  cents 
D)   (120x+10)  cents 
A)   (95x-10)  cents 
B)   (120x-2)  cents 
C)   (120x-10)  cents 
D)   (120x+10)  cents

Question 20

Solve the compound inequality. Give the answer in interval notation.
--8 x6

Accepted Answer

A)  $( - \infty , - 2 ) \cup ( 5 , \infty )$ 
B)   (-2,5) 
C)  $( 5 , \infty )$ 
D)  $\varnothing$ 
A)  $( - \infty , - 2 ) \cup ( 5 , \infty )$ 
B)   (-2,5) 
C)  $( 5 , \infty )$ 
D)  $\varnothing$

Solve. - $| 5 x + 2 | + 5 = 8$

Solve. -The president of a certain University makes three times as much money as one of the department heads. If the total of there salaries is $250,000 , find each worker's salary.

Solve the inequality. Write the solution set in interval notation and graph the solution set. - $4 x + 9 > 4 ( x + 12 )$

Solve the inequality. Write the solution set in interval notation and graph the solution set. - $7 x > 6 x - 10$

Solve the inequality. Write the answer in interval notation. - $x \geq 5 \text { or } x \geq - 1$

Determine whether the number is a solution of the equation $7 ; \quad 2 ( x - 8 ) = 16$

Determine whether the number is a solution of the equation $- 1 ; x - 9 = x - 9$

Solve. - $| 2 x - 3 | = 0$

Write the solution set using interval notation. - $\frac { 5 x - 65 } { 18 } < 0$

Solve the equation for the specified variable. - $8 x + 7 y = 10$ for y

Solve. - $| x | + 6 = 18$

Solve. -Use the formula $C=\frac{5}{9}(F-32)$ to write 221°F as degrees Celsius .

Solve the equation. - 21.9=-21.7-x

Write the solution set using interval notation. -4 x-3.2<6 x+5

Write the solution set using interval notation. - $\frac { 1 } { 7 } ( 2 x + 12 ) > \frac { 3 } { 14 } ( x - 1 )$

Write the solution set using interval notation. - $\frac { - 3 x + 10 } { 2 } < - 1$

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

Graph the solution set of the inequality and write it in interval notation. - $\{ x \mid x \leq 1 \}$ $Graph the solution set of the inequality and write it in interval notation. - \{ x \mid x \leq 1 \}$

Write the following as an algebraic expression. Then simplify. -The total value of money (in cents) of (7x-2) nickels, 6x dimes, and x quarters.

Solve the compound inequality. Give the answer in interval notation. --8 x<-40 and x+8>6

Real Numbers and Algebraic Expressions

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Polynomials and Polynomial Functions

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Exam 2: Equations, Inequalities, and Problem Solving

Solve. - ∣5x+2∣+5=8| 5 x + 2 | + 5 = 8∣5x+2∣+5=8