Question 1

Solve the equation.
- 11 x-27=2 x+27

Accepted Answer

A)   {-6} 
B)   {6} 
C)   {-3} 
D)   {3} 
A)   {-6} 
B)   {6} 
C)   {-3} 
D)   {3}

Question 2

Solve.
-Sally is making a cover for a round table. When finished, the cover will fit exactly with no excess hanging off. Sally has to cut the fabric circle with a 4 inch larger diameter than the table to allow for hemming. If the table
Has a diameter of 58 inches, how much fabric does Sally need? (Use 3.14 for . Round to 2 decimal places.)

Accepted Answer

A)  11,304.00 sq in. 
B)  3017.54 sq in. 
C)  3419.46 sq in. 
D)  12,070.16 sq in. 
A)  11,304.00 sq in. 
B)  3017.54 sq in. 
C)  3419.46 sq in. 
D)  12,070.16 sq in.

Question 3

Solve the inequality. Then graph the solution set and write it in interval notation.
-$| 7 k - 4 | < - 5$

Accepted Answer

A)  $\left( - \frac { 1 } { 7 } , \frac { 9 } { 7 } \right)$
  
B)  $\left( - \infty , - \frac { 1 } { 7 } \right) \cup \left( \frac { 9 } { 7 } , \infty \right)$
  
C)  $\left( - \frac { 9 } { 7 } , \frac { 1 } { 7 } \right)$
  
D)  $\varnothing$
  
A)  $\left( - \frac { 1 } { 7 } , \frac { 9 } { 7 } \right)$
  
B)  $\left( - \infty , - \frac { 1 } { 7 } \right) \cup \left( \frac { 9 } { 7 } , \infty \right)$
  
C)  $\left( - \frac { 9 } { 7 } , \frac { 1 } { 7 } \right)$
  
D)  $\varnothing$

Question 4

Solve.
-Four times the sum of some number plus 3 is equal to 8 times the number minus  12 .

Accepted Answer

A)   -24 
B)  24 
C)   -6 
D)  6 
A)   -24 
B)  24 
C)   -6 
D)  6

Question 5

Solve the compound inequality. Give the answer in interval notation.
-x+9<7 and -9 x<-45

Accepted Answer

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

Question 6

Solve the inequality. Then graph the solution set and write it in interval notation.
-$| x | - 4 \geq 7$

Accepted Answer

A)  $[ 3 , \infty )$
  
B)  $[ 11 , \infty )$
  
C)  $[ - 11,11 ]$
  
D)  $( - \infty , - 11 ] \cup [ 11 , \infty )$
  
A)  $[ 3 , \infty )$
  
B)  $[ 11 , \infty )$
  
C)  $[ - 11,11 ]$
  
D)  $( - \infty , - 11 ] \cup [ 11 , \infty )$

Question 7

Graph the solution set of the inequality and write it in interval notation.
-$\{ x \mid x < 0 \}$

Accepted Answer

A)  $[ 0 , \infty )$
  
B)  $( - \infty , 0 ]$
  
C)  $( 0 , \infty )$
  
D)  $( - \infty , 0 )$
  
A)  $[ 0 , \infty )$
  
B)  $( - \infty , 0 ]$
  
C)  $( 0 , \infty )$
  
D)  $( - \infty , 0 )$

Question 8

Solve the equation.
-$\frac { 1 } { 5 } ( x + 15 ) - \frac { 1 } { 9 } ( x - 9 ) = x + 7$

Accepted Answer

A)  $\left\{ - \frac { 135 } { 41 } \right\}$ 
B)  $\left\{ - \frac { 495 } { 41 } \right\}$ 
C)  $\left\{ - \frac { 225 } { 41 } \right\}$ 
D)  $\left\{ - \frac { 405 } { 41 } \right\}$ 
A)  $\left\{ - \frac { 135 } { 41 } \right\}$ 
B)  $\left\{ - \frac { 495 } { 41 } \right\}$ 
C)  $\left\{ - \frac { 225 } { 41 } \right\}$ 
D)  $\left\{ - \frac { 405 } { 41 } \right\}$

Question 9

Solve the equation.
-$\frac { x } { 3 } - \frac { x } { 7 } = 9$

Accepted Answer

A)   {21} 
B)   {27} 
C)   {63} 
D)  $\left\{ \frac { 189 } { 4 } \right\}$ 
A)   {21} 
B)   {27} 
C)   {63} 
D)  $\left\{ \frac { 189 } { 4 } \right\}$

Question 10

Determine whether the number is a solution of the equation
$- 12 ; \quad 2 x - 7 = 3 x + 5$

Accepted Answer

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

Question 11

Solve.
-$| 6 x | = 0$

Accepted Answer

A)  $\left\{ \frac { 1 } { 6 } \right\}$ 
B)   {6,-6} 
C)   {0} 
D)   {6} 
A)  $\left\{ \frac { 1 } { 6 } \right\}$ 
B)   {6,-6} 
C)   {0} 
D)   {6}

Question 12

Solve the inequality. Write the answer in interval notation.
-$| 7 x + 6 | \geq 7$

Accepted Answer

A)  $\left[ - \frac { 13 } { 7 } , \frac { 1 } { 7 } \right]$ 
B)  $\left[ \frac { 1 } { 7 } , \infty \right)$ 
C)  $\left( - \frac { 13 } { 7 } , \frac { 1 } { 7 } \right)$ 
D)  $\left( - \infty , - \frac { 13 } { 7 } \right] \cup \left[ \frac { 1 } { 7 } , \infty \right)$ 
A)  $\left[ - \frac { 13 } { 7 } , \frac { 1 } { 7 } \right]$ 
B)  $\left[ \frac { 1 } { 7 } , \infty \right)$ 
C)  $\left( - \frac { 13 } { 7 } , \frac { 1 } { 7 } \right)$ 
D)  $\left( - \infty , - \frac { 13 } { 7 } \right] \cup \left[ \frac { 1 } { 7 } , \infty \right)$

Question 13

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l } 
\text { contradiction } & \text { linear inequality in one variable compound inequalitysolution } \
\text { absolute value } & \text { consecutive integers union } \
\text { formula } & \text { linear equation in one variable intersection }
\end{array}$$
-A number's distance from 0 is called its_____

Accepted Answer

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

Question 14

Write the inequality.
-Write $- 10 \leq x \leq 10$ as an inequality containing absolute value.

Accepted Answer

A)  $| x | \leq 10$ 
B)  $| x | \leq 9$ 
C)  $| x | \geq 10$ 
D)  $| x | \geq 9$ 
A)  $| x | \leq 10$ 
B)  $| x | \leq 9$ 
C)  $| x | \geq 10$ 
D)  $| x | \geq 9$

Question 15

Solve.
-$| x | = - 8$

Accepted Answer

A)   {-8} 
B)   {8} 
C)   {8,-8} 
D)  $\phi$ 
A)   {-8} 
B)   {8} 
C)   {8,-8} 
D)  $\phi$

Question 16

Solve the equation.
-$\frac { x } { 3 } - \frac { x } { 4 } = 6$

Accepted Answer

A)   {24} 
B)   {12} 
C)  $\{ 72 \}$ 
D)   {18} 
A)   {24} 
B)   {12} 
C)  $\{ 72 \}$ 
D)   {18}

Question 17

Solve the equation.
- 3(y+6)+y=2(2+2y)

Accepted Answer

A)  $\phi$ 
B)  $\left\{ - \frac { 7 } { 4 } \right\}$ 
C)  {$y \mid y$ is a real number} 
D)  $\left\{ \frac { 7 } { 4 } \right\}$ 
A)  $\phi$ 
B)  $\left\{ - \frac { 7 } { 4 } \right\}$ 
C)  {$y \mid y$ is a real number} 
D)  $\left\{ \frac { 7 } { 4 } \right\}$

Question 18

Solve.
-A woman drives at a constant 65 miles per hour. Find the distance the woman will travel in 3 hours.

Accepted Answer

A)   68 mi 
B)   9 mi 
C)   195 mi 
D)  $\frac { 65 } { 3 }$ mi 
A)   68 mi 
B)   9 mi 
C)   195 mi 
D)  $\frac { 65 } { 3 }$ mi

Question 19

Solve the inequality. Then graph the solution set and write it in interval notation.
-$\left| \frac { 11 y + 33 } { 3 } \right| < 11$

Accepted Answer

A)  $( 0,6 )$
  
B)  $( - 6,6 )$
  
C)  $( - \infty , - 6 ) \cup ( 0 , \infty )$
  
D)  $( - 6,0 )$
  
A)  $( 0,6 )$
  
B)  $( - 6,6 )$
  
C)  $( - \infty , - 6 ) \cup ( 0 , \infty )$
  
D)  $( - 6,0 )$

Question 20

Solve the inequality. Then graph the solution set and write it in interval notation.
-$| 2 k - 3 | \leq 8$

Accepted Answer

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

Solve the equation. - 11 x-27=2 x+27

Solve the inequality. Then graph the solution set and write it in interval notation. - $| 7 k - 4 | < - 5$

Solve. -Four times the sum of some number plus 3 is equal to 8 times the number minus 12 .

Solve the compound inequality. Give the answer in interval notation. -x+9<7 and -9 x<-45

Solve the inequality. Then graph the solution set and write it in interval notation. - $| x | - 4 \geq 7$ $Solve the inequality. Then graph the solution set and write it in interval notation. - | x | - 4 \geq 7$

Graph the solution set of the inequality and write it in interval notation. - $\{ x \mid x < 0 \}$ $Graph the solution set of the inequality and write it in interval notation. - \{ x \mid x < 0 \}$

Solve the equation. - $\frac { 1 } { 5 } ( x + 15 ) - \frac { 1 } { 9 } ( x - 9 ) = x + 7$

Solve the equation. - $\frac { x } { 3 } - \frac { x } { 7 } = 9$

Determine whether the number is a solution of the equation $- 12 ; \quad 2 x - 7 = 3 x + 5$

Solve. - $| 6 x | = 0$

Solve the inequality. Write the answer in interval notation. - $| 7 x + 6 | \geq 7$

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 -A number's distance from 0 is called its_____

Write the inequality. -Write $- 10 \leq x \leq 10$ as an inequality containing absolute value.

Solve. - $| x | = - 8$

Solve the equation. - $\frac { x } { 3 } - \frac { x } { 4 } = 6$

Solve the equation. - 3(y+6)+y=2(2+2y)

Solve. -A woman drives at a constant 65 miles per hour. Find the distance the woman will travel in 3 hours.

Solve the inequality. Then graph the solution set and write it in interval notation. - $\left| \frac { 11 y + 33 } { 3 } \right| < 11$ $Solve the inequality. Then graph the solution set and write it in interval notation. - \left| \frac { 11 y + 33 } { 3 } \right| < 11$

Solve the inequality. Then graph the solution set and write it in interval notation. - $| 2 k - 3 | \leq 8$ $Solve the inequality. Then graph the solution set and write it in interval notation. - | 2 k - 3 | \leq 8$

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Exam 2: Equations, Inequalities, and Problem Solving

Solve the equation. - 11 x-27=2 x+27

Solve the inequality. Then graph the solution set and write it in interval notation. - ∣7k−4∣<−5| 7 k - 4 | < - 5∣7k−4∣<−5