Question 1

Determine whether the number is a solution of the equation
$- 2 ; \quad x - 22 = 24$

Accepted Answer

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

Question 2

Solve the equation.
-$| 4 x + 3 | + 2 = 8$

Accepted Answer

A)  $\{ 1 , - 3 \}$ 
B)  $\left\{ - \frac { 3 } { 4 } , \frac { 9 } { 4 } \right\}$ 
C)   $\varnothing$ 
D)  $\left\{ \frac { 3 } { 4 } , - \frac { 9 } { 4 } \right\}$ 
A)  $\{ 1 , - 3 \}$ 
B)  $\left\{ - \frac { 3 } { 4 } , \frac { 9 } { 4 } \right\}$ 
C)   $\varnothing$ 
D)  $\left\{ \frac { 3 } { 4 } , - \frac { 9 } { 4 } \right\}$

Question 3

Solve the equation.
-3(x+4)-(3 x+12)=0

Accepted Answer

A)  {$x \mid x$ is a real number 
B)  $\varnothing$ 
C)   {4} 
D)   {0} 
A)  {$x \mid x$ is a real number 
B)  $\varnothing$ 
C)   {4} 
D)   {0}

Question 4

Solve the compound inequality. Graph the solution set and give the solution in interval notation.
-$x \leq - 2 \text { and } x \geq 5$

Accepted Answer

A)  $[ - 2,5 ]$
  
B)  $( - 2,5 )$
  
C)  $\left( = \infty _ { , } , \infty \right)$
  
D)    
A)  $[ - 2,5 ]$
  
B)  $( - 2,5 )$
  
C)  $\left( = \infty _ { , } , \infty \right)$
  
D)

Question 5

Solve the inequality. Write the answer in interval notation.
-$\frac { 5 x - 3 } { 3 } - \frac { 7 x + 1 } { 4 } \geq 0$

Accepted Answer

A)  $( - \infty , - 15 ]$ 
B)  $( - \infty , - 4 ]$ 
C)  $[ 3 , \infty )$ 
D)  $[ - 15 \infty )$ 
A)  $( - \infty , - 15 ]$ 
B)  $( - \infty , - 4 ]$ 
C)  $[ 3 , \infty )$ 
D)  $[ - 15 \infty )$

Question 6

Write the solution set using interval notation.
-$\frac { 1 } { 4 } ( 6 x - 56 ) \geq x - 7$

Accepted Answer

A)  $( - \infty , 14 ]$ 
B)  $( - \infty , 14 )$ 
C)  $( 14 , \infty )$ 
D)  $[ 14 , \infty )$ 
A)  $( - \infty , 14 ]$ 
B)  $( - \infty , 14 )$ 
C)  $( 14 , \infty )$ 
D)  $[ 14 , \infty )$

Question 7

Solve the equation.
- 10=x+3

Accepted Answer

A)   {-7} 
B)   {7} 
C)   {13} 
D)   {-13} 
A)   {-7} 
B)   {7} 
C)   {13} 
D)   {-13}

Question 8

List the elements of the set.
-If  A={$x \mid x$  is an even integer }  and  B={$x$ is an odd integer } , list the elements of $A \cap B \text {. }$

Accepted Answer

A)  {$x \mid x$ is an integer} 
B)  {$x \mid x$ is an odd integer} 
C)  {$x \mid x$ is an even integer} 
D)  $\phi$ 
A)  {$x \mid x$ is an integer} 
B)  {$x \mid x$ is an odd integer} 
C)  {$x \mid x$ is an even integer} 
D)  $\phi$

Question 9

Solve.
-A Promotional deal for long distance phone service charges a $15 basic fee plus $0.05 per munite for all calls. if joe's phone bill was $62 under this promotional deal, how many minuts of phone calls did he make? Round to the nearest interher, if necessary .

Accepted Answer

A)  9 
B)  1540 
C)  2 
D)  940 
A)  9 
B)  1540 
C)  2 
D)  940

Question 10

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l } 
\text { contradiction } & \text { linear inequality in one variable compound inequalitysolution } \
\text { absolute value } & \text { consecutive integers union } \
\text { formula } & \text { linear equation in one variable intersection }
\end{array}$$
-The statement  5 x-0.2<7  is an example of  a(n) _____

Accepted Answer

A)  formula 
B)  linear inequality in one variable 
C)  linear equation in one variable 
D)  compound inequality 
A)  formula 
B)  linear inequality in one variable 
C)  linear equation in one variable 
D)  compound inequality

Question 11

Solve the equation.
-$\frac { 1 } { 2 } - \frac { x } { 3 } = \frac { 11 } { 6 }$

Accepted Answer

A)  $\{ 4 \}$ 
B)  $\left\{ - \frac { 8 } { 3 } \right\}$ 
C)  $\left\{ \frac { 8 } { 3 } \right\}$ 
D)  $\{ - 4 \}$ 
A)  $\{ 4 \}$ 
B)  $\left\{ - \frac { 8 } { 3 } \right\}$ 
C)  $\left\{ \frac { 8 } { 3 } \right\}$ 
D)  $\{ - 4 \}$

Question 12

Solve the equation.
--63(x+8)=-72(x+7)

Accepted Answer

A)   {0} 
B)   {-135} 
C)  {$x \mid X$ is a real number} 
D)  $\{\varnothing\}$ 
A)   {0} 
B)   {-135} 
C)  {$x \mid X$ is a real number} 
D)  $\{\varnothing\}$

Question 13

Use the formula A $$A = P \left( 1 + \frac { r } { n } \right) ^ { n }$$ to find the amount requested.
-A principal of $12,000 is invisted in an account paying on annual interest rate of 5%. Find the amount in the account after 4 years if hte account is compounded quarterly.

Accepted Answer

A)  $14,638.67 
B)  $2638.67 
C)  $14,457.95 
D)  $14,586.08 
A)  $14,638.67 
B)  $2638.67 
C)  $14,457.95 
D)  $14,586.08

Question 14

Graph the solution set of the inequality and write it in interval notation.
-$9 x > - 37.8$

Accepted Answer

A)  $( - 4.2 , \infty )$
  
B)  $( - \infty , - 4.2 )$
  
C)  $( - \infty , - 4.2 ]$
  
D)  $[ - 4.2 , \infty )$
  
A)  $( - 4.2 , \infty )$
  
B)  $( - \infty , - 4.2 )$
  
C)  $( - \infty , - 4.2 ]$
  
D)  $[ - 4.2 , \infty )$

Question 15

Write the solution set using interval notation.
-$3 ( 4 x - 4 ) - 12 \leq 5 x - 3$

Accepted Answer

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

Question 16

Write the solution set using interval notation.
-A certain vehicle has a weight limit for all passengers and cargo of 1040 pounds. The four passengers in the vehicle weigh an average of 150 pounds. Use an inequality to find the maximum weight of the cargo that the vehicle can handle.

Accepted Answer

A)  at most 890 pounds 
B)  at most $\frac { 104 } { 15 }$ pounds 
C)  at most 440 pounds 
D)  at most 520 pounds 
A)  at most 890 pounds 
B)  at most $\frac { 104 } { 15 }$ pounds 
C)  at most 440 pounds 
D)  at most 520 pounds

Question 17

Solve the equation for the specified variable.
-5x -4y =7 for y

Accepted Answer

A)  } y=$\frac { 7 - 5 x } { 4 }$ 
B)   y=$\frac { 5 x + 7 } { 4 }$ 
C)   y=  $\frac { 5 x - 7 } { 4 }$ 
D)   y=5 x-7 
A)  } y=$\frac { 7 - 5 x } { 4 }$ 
B)   y=$\frac { 5 x + 7 } { 4 }$ 
C)   y=  $\frac { 5 x - 7 } { 4 }$ 
D)   y=5 x-7

Question 18

Solve the equation for the specified variable.
- P=2 L+2 W   for  L

Accepted Answer

A)  $L = \frac { P - V } { 2 }$ 
B)  $\mathrm { L } = \frac { \mathrm { P } - 2 \mathrm {~W} } { 2 }$ 
C)   L=P-W 
D)   L=P-2W 
A)  $L = \frac { P - V } { 2 }$ 
B)  $\mathrm { L } = \frac { \mathrm { P } - 2 \mathrm {~W} } { 2 }$ 
C)   L=P-W 
D)   L=P-2W

Question 19

Solve the compound inequality. Graph the solution set and give the solution in interval notation.
-$x \leq 3 \text { and } x \leq - 2$

Accepted Answer

A)  $( - \infty , - 2 ] \cup [ 3 , \infty )$
  
B)  $[ - 2 , \infty )$
  
C)  $( - \infty , - 2 ]$
  
D)  $[ - 2,3 ]$
  
A)  $( - \infty , - 2 ] \cup [ 3 , \infty )$
  
B)  $[ - 2 , \infty )$
  
C)  $( - \infty , - 2 ]$
  
D)  $[ - 2,3 ]$

Question 20

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l } 
\text { contradiction } & \text { linear inequality in one variable compound inequalitysolution } \
\text { absolute value } & \text { consecutive integers union } \
\text { formula } & \text { linear equation in one variable intersection }
\end{array}$$
-The equation  d=rt  is also called  a(n) _____

Accepted Answer

A)  formula 
B)  identity 
C)  linear inequality in one variable 
D)  linear equation in one variable 
A)  formula 
B)  identity 
C)  linear inequality in one variable 
D)  linear equation in one variable

Determine whether the number is a solution of the equation $- 2 ; \quad x - 22 = 24$

Solve the equation. - $| 4 x + 3 | + 2 = 8$

Solve the equation. -3(x+4)-(3 x+12)=0

Solve the compound inequality. Graph the solution set and give the solution in interval notation. - $x \leq - 2 \text { and } x \geq 5$ $Solve the compound inequality. Graph the solution set and give the solution in interval notation. - x \leq - 2 \text { and } x \geq 5$

Solve the inequality. Write the answer in interval notation. - $\frac { 5 x - 3 } { 3 } - \frac { 7 x + 1 } { 4 } \geq 0$

Write the solution set using interval notation. - $\frac { 1 } { 4 } ( 6 x - 56 ) \geq x - 7$

Solve the equation. - 10=x+3

List the elements of the set. -If A={ $x \mid x$ is an even integer } and B={ $x$ is an odd integer } , list the elements of $A \cap B \text {. }$

Solve. -A Promotional deal for long distance phone service charges a $15 basic fee plus $0.05 per munite for all calls. if joe's phone bill was $62 under this promotional deal, how many minuts of phone calls did he make? Round to the nearest interher, if necessary .

Fill in the blank with one of the words or phrases listed below. contradiction linear inequality in one variable compound inequalitysolution absolute value consecutive integers union formula linear equation in one variable intersection -The statement 5 x-0.2<7 is an example of a(n) _____

Solve the equation. - $\frac { 1 } { 2 } - \frac { x } { 3 } = \frac { 11 } { 6 }$

Solve the equation. --63(x+8)=-72(x+7)

Use the formula A $A = P \left( 1 + \frac { r } { n } \right) ^ { n }$ to find the amount requested. -A principal of $12,000 is invisted in an account paying on annual interest rate of 5%. Find the amount in the account after 4 years if hte account is compounded quarterly.

Graph the solution set of the inequality and write it in interval notation. - $9 x > - 37.8$

Write the solution set using interval notation. - $3 ( 4 x - 4 ) - 12 \leq 5 x - 3$

Write the solution set using interval notation. -A certain vehicle has a weight limit for all passengers and cargo of 1040 pounds. The four passengers in the vehicle weigh an average of 150 pounds. Use an inequality to find the maximum weight of the cargo that the vehicle can handle.

Solve the equation for the specified variable. -5x -4y =7 for y

Solve the equation for the specified variable. - P=2 L+2 W for L

Solve the compound inequality. Graph the solution set and give the solution in interval notation. - $x \leq 3 \text { and } x \leq - 2$ $Solve the compound inequality. Graph the solution set and give the solution in interval notation. - x \leq 3 \text { and } x \leq - 2$

Fill in the blank with one of the words or phrases listed below. contradiction linear inequality in one variable compound inequalitysolution absolute value consecutive integers union formula linear equation in one variable intersection -The equation d=rt is also called a(n) _____

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

Fractions

Filters

Exam 2: Equations, Inequalities, and Problem Solving

Determine whether the number is a solution of the equation −2;x−22=24- 2 ; \quad x - 22 = 24−2;x−22=24

Solve the equation. - ∣4x+3∣+2=8| 4 x + 3 | + 2 = 8∣4x+3∣+2=8