Question 1

Solve the inequality. Then graph the solution set and write it in interval notation.
-$| x - 19 | < 11$

Accepted Answer

A)  $( - 30 , - 8 )$
  
B)  $( 8,30 )$
  
C)  $( - \infty , 30 )$
  
D)  $( - \infty , 8 )$
  
A)  $( - 30 , - 8 )$
  
B)  $( 8,30 )$
  
C)  $( - \infty , 30 )$
  
D)  $( - \infty , 8 )$

Question 2

Solve the compound inequality. Give the answer in interval notation.
-0.4<0.2 x-0.9<1.2

Accepted Answer

A)   (-2.5,1.5) 
B)   [6.5,10.5] 
C)   (0,10.5) 
D)   (6.5,10.5) 
A)   (-2.5,1.5) 
B)   [6.5,10.5] 
C)   (0,10.5) 
D)   (6.5,10.5)

Question 3

Solve the inequality. Then graph the solution set and write it in interval notation.
-$| 5 k - 9 | > - 8$

Accepted Answer

A)  $\left( - \infty , \frac { 1 } { 5 } \right) \cup \left( \frac { 17 } { 5 } , \infty \right)$
  
B)  $\left( \frac { 1 } { 5 } , \frac { 17 } { 5 } \right)$
  
C)  $( - \infty , \infty )$
  
D)  $\left( \frac { 17 } { 5 } , \infty \right)$
  
A)  $\left( - \infty , \frac { 1 } { 5 } \right) \cup \left( \frac { 17 } { 5 } , \infty \right)$
  
B)  $\left( \frac { 1 } { 5 } , \frac { 17 } { 5 } \right)$
  
C)  $( - \infty , \infty )$
  
D)  $\left( \frac { 17 } { 5 } , \infty \right)$

Question 4

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

Accepted Answer

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

Question 5

Solve.
-Michael is shipping his mother's birthday gift to her in a rectangular box. If the gift's dimensions are 2 inches long by 5 inches wide by 10 inches high, find the volume of the smallest box that will hold the gift.

Accepted Answer

A)  14 cu in. 
B)  17 cu in. 
C)  100 cu in. 
D)  200 cu in. 
A)  14 cu in. 
B)  17 cu in. 
C)  100 cu in. 
D)  200 cu in.

Question 6

Write the solution set using interval notation.
-A certain store has a fax machine available for use by its customers. The store charges $1.90 to send the first page and $0.40 for each subsequent page. Use an inequality to find the maximum number of pages that can be
Faxed for $3.90

Accepted Answer

A)  at most 5 pages 
B)  at most 43 pages 
C)  at most 10 pages 
D)  at most 2 pages 
A)  at most 5 pages 
B)  at most 43 pages 
C)  at most 10 pages 
D)  at most 2 pages

Question 7

Solve.
-The population of a town increased by  80 %  in 5 years. If the population is currently 40,000 , find the population of this town 5 years ago. (Round to the nearest whole, if necessary.)

Accepted Answer

A)  8000 
B)  50,000 
C)  32,000 
D)  22,222 
A)  8000 
B)  50,000 
C)  32,000 
D)  22,222

Question 8

Graph the solution set of the inequality and write it in interval notation.
-$- x < - 6$

Accepted Answer

A)  $[ 7 , \infty )$
  
B)  $( - 6 , \infty )$
  
C)  $( 6 , \infty )$
  
D)  $( - \infty , - 6 )$
  
A)  $[ 7 , \infty )$
  
B)  $( - 6 , \infty )$
  
C)  $( 6 , \infty )$
  
D)  $( - \infty , - 6 )$

Question 9

Solve the compound inequality. Give the answer in interval notation.
-$0 \leq \frac { 2 x + 3 } { 4 } < 3$

Accepted Answer

A)  $\left[ - \frac { 3 } { 2 } , \frac { 9 } { 2 } \right)$ 
B)  $\left[ - \frac { 3 } { 2 } , \frac { 9 } { 2 } \right]$ 
C)  $\left( - \frac { 3 } { 2 } , \frac { 9 } { 2 } \right]$ 
D)  $\left( - \frac { 3 } { 2 } , \frac { 9 } { 2 } \right)$ 
A)  $\left[ - \frac { 3 } { 2 } , \frac { 9 } { 2 } \right)$ 
B)  $\left[ - \frac { 3 } { 2 } , \frac { 9 } { 2 } \right]$ 
C)  $\left( - \frac { 3 } { 2 } , \frac { 9 } { 2 } \right]$ 
D)  $\left( - \frac { 3 } { 2 } , \frac { 9 } { 2 } \right)$

Question 10

Determine whether the number is a solution of the equation
$- 30 ; \frac { x } { - 5 } = 6$

Accepted Answer

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

Question 11

Solve the equation.
-$\frac { 15 x } { 4 } + \frac { 3 } { 2 } = \frac { 7 x } { 2 }$

Accepted Answer

A)   {-20} 
B)   {6} 
C)   {20} 
D)   {-6} 
A)   {-20} 
B)   {6} 
C)   {20} 
D)   {-6}

Question 12

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

Accepted Answer

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

Question 13

Solve.
-The three most prominent buildings in a city, Washington Center, Lincoln Galleria, and Jefferson Square Tower, have a total height of 1800 feet. Find the height of each building if Jefferson Square Tower is three times as tall as Lincoln Galleria and Washington Center is 350 feet taller than Lincoln Galleria.

Accepted Answer

A)  Washington Center: 240 feet
Lincoln Galleria: 80 feet 
Jefferson Square Tower: 1480 feet 
B)  Washington Center: 430 feet
 Lincoln Galleria: 80 feet
 Jefferson Square Tower: 1290 feet 
C)  Washington Center: 640 feet
630 feet Lincoln Galleria: 290 feet
Jefferson Square Tower: 870 
D)  Washington Center: 630 feet
 Lincoln Galleria: 210
 Jefferson Square Tower: 960 feet 
A)  Washington Center: 240 feet
Lincoln Galleria: 80 feet 
Jefferson Square Tower: 1480 feet 
B)  Washington Center: 430 feet
 Lincoln Galleria: 80 feet
 Jefferson Square Tower: 1290 feet 
C)  Washington Center: 640 feet
630 feet Lincoln Galleria: 290 feet
Jefferson Square Tower: 870 
D)  Washington Center: 630 feet
 Lincoln Galleria: 210
 Jefferson Square Tower: 960 feet

Question 14

Solve.
-A car rental agency adverised renting a luxury, full-size car for $29.95 per day and $0.29 per mile. If you rent this car for 4 days, how many whole miles can you drive if you only have $200 to spens.

Accepted Answer

A)  50 
B)  572 
C)  276 
D)  21 
A)  50 
B)  572 
C)  276 
D)  21

Question 15

Solve the equation.
- 7 x-6=8(x-2)

Accepted Answer

A)   {10} 
B)   {22} 
C)   {-22} 
D)   {-10} 
A)   {10} 
B)   {22} 
C)   {-22} 
D)   {-10}

Question 16

Solve the compound inequality. Give the answer in interval notation.
- -8 x>-24  and  x+8>7

Accepted Answer

A)  $( 3 , \infty )$ 
B)  $( - \infty , - 1 ) \cup ( 3 , \infty )$ 
C)   (-1,3) 
D)   $\varnothing$ 
A)  $( 3 , \infty )$ 
B)  $( - \infty , - 1 ) \cup ( 3 , \infty )$ 
C)   (-1,3) 
D)   $\varnothing$

Question 17

Solve.
-The cost C to product x number of tennis rackets is C=190 +18x. The tennis rackets are sold wholesale for $23 each, so revenue R =23x. Find how many tennis rackets the manufacturer needs to produce and sell to break even.

Accepted Answer

A)  43 tennis rackets 
B)  33 tennis rackets 
C)  19 tennis rackets 
D)  38 tennis rackets 
A)  43 tennis rackets 
B)  33 tennis rackets 
C)  19 tennis rackets 
D)  38 tennis rackets

Question 18

Solve the inequality. Write the solution set in interval notation and graph the solution set.
-$6 x + 7 < 6 ( x + 10 )$

Accepted Answer

A)  $( - \infty , 10 )$
  
B)  $( 3 , \infty )$
  
C)  $(-\infty, \infty)$
  
D)    
A)  $( - \infty , 10 )$
  
B)  $( 3 , \infty )$
  
C)  $(-\infty, \infty)$
  
D)

Question 19

Solve.
-A diamond ring sold for $2570.40 including tax. If the tax rate where the diamond was purchased is 7.1%, Find the price of the ring befor the tax was added. (Round to the nearest cent, if necessary.)

Accepted Answer

A)  $182.50 
B)  $2752.90 
C)  $2400.00 
D)  $2387.90 
A)  $182.50 
B)  $2752.90 
C)  $2400.00 
D)  $2387.90

Question 20

Solve the compound inequality. Give the answer in interval notation.
-$9 x - 6 < 3 x \text { or } - 3 x \leq - 9$

Accepted Answer

A)   [1,3] 
B)  $( - \infty , 1 ) \cup [ 3 , \infty )$ 
C)   (1,3) 
D)   $Q$ 
A)   [1,3] 
B)  $( - \infty , 1 ) \cup [ 3 , \infty )$ 
C)   (1,3) 
D)   $Q$

Solve the inequality. Then graph the solution set and write it in interval notation. - $| x - 19 | < 11$

Solve the compound inequality. Give the answer in interval notation. -0.4<0.2 x-0.9<1.2

Solve the inequality. Then graph the solution set and write it in interval notation. - $| 5 k - 9 | > - 8$

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

Solve. -Michael is shipping his mother's birthday gift to her in a rectangular box. If the gift's dimensions are 2 inches long by 5 inches wide by 10 inches high, find the volume of the smallest box that will hold the gift.

Write the solution set using interval notation. -A certain store has a fax machine available for use by its customers. The store charges $1.90 to send the first page and $0.40 for each subsequent page. Use an inequality to find the maximum number of pages that can be Faxed for $3.90

Solve. -The population of a town increased by 80 % in 5 years. If the population is currently 40,000 , find the population of this town 5 years ago. (Round to the nearest whole, if necessary.)

Graph the solution set of the inequality and write it in interval notation. - $- x < - 6$

Solve the compound inequality. Give the answer in interval notation. - $0 \leq \frac { 2 x + 3 } { 4 } < 3$

Determine whether the number is a solution of the equation $- 30 ; \frac { x } { - 5 } = 6$

Solve the equation. - $\frac { 15 x } { 4 } + \frac { 3 } { 2 } = \frac { 7 x } { 2 }$

Solve. -A car rental agency adverised renting a luxury, full-size car for $29.95 per day and $0.29 per mile. If you rent this car for 4 days, how many whole miles can you drive if you only have $200 to spens.

Solve the equation. - 7 x-6=8(x-2)

Solve the compound inequality. Give the answer in interval notation. - -8 x>-24 and x+8>7

Solve. -The cost C to product x number of tennis rackets is C=190 +18x. The tennis rackets are sold wholesale for $23 each, so revenue R =23x. Find how many tennis rackets the manufacturer needs to produce and sell to break even.

Solve the inequality. Write the solution set in interval notation and graph the solution set. - $6 x + 7 < 6 ( x + 10 )$

Solve. -A diamond ring sold for $2570.40 including tax. If the tax rate where the diamond was purchased is 7.1%, Find the price of the ring befor the tax was added. (Round to the nearest cent, if necessary.)

Solve the compound inequality. Give the answer in interval notation. - $9 x - 6 < 3 x \text { or } - 3 x \leq - 9$

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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−19∣<11| x - 19 | < 11∣x−19∣<11