Question 1

Solve the equation.
-5 x+7=22

Accepted Answer

A)   {10} 
B)   {3} 
C)   {14} 
D)   {2} 
A)   {10} 
B)   {3} 
C)   {14} 
D)   {2}

Question 2

Solve the inequality. Then graph the solution set and write it in interval notation.
-$| 5 k + 8 | - 3 > 2$

Accepted Answer

A)  $\left( - \frac { 3 } { 5 } , \infty \right)$
  
B)  $\left( - \frac { 13 } { 5 } , - \frac { 3 } { 5 } \right)$
  
C)  $\left( - \infty , - \frac { 13 } { 5 } \right] \cup \left[ - \frac { 3 } { 5 } , \infty \right]$
  
D)  $\left( - \infty , - \frac { 13 } { 5 } \right) \cup \left( - \frac { 3 } { 5 } , \infty \right)$
  
A)  $\left( - \frac { 3 } { 5 } , \infty \right)$
  
B)  $\left( - \frac { 13 } { 5 } , - \frac { 3 } { 5 } \right)$
  
C)  $\left( - \infty , - \frac { 13 } { 5 } \right] \cup \left[ - \frac { 3 } { 5 } , \infty \right]$
  
D)  $\left( - \infty , - \frac { 13 } { 5 } \right) \cup \left( - \frac { 3 } { 5 } , \infty \right)$

Question 3

Solve.
-Find the measures of the angles of a triangle if the measure of the first angle is four times the measure of the second angle and the third angle is $30 ^ { \circ }$ more than the second angle.

Accepted Answer

A)  $100 ^ { \circ } , 25 ^ { \circ } , 55 ^ { \circ }$ 
B)  $35 ^ { \circ } , 5 ^ { \circ } , 140 ^ { \circ }$ 
C)  $68 ^ { \circ } , 17 ^ { \circ } , 95 ^ { \circ }$ 
D)  $20 ^ { \circ } , 5 ^ { \circ } , 155 ^ { \circ }$ 
A)  $100 ^ { \circ } , 25 ^ { \circ } , 55 ^ { \circ }$ 
B)  $35 ^ { \circ } , 5 ^ { \circ } , 140 ^ { \circ }$ 
C)  $68 ^ { \circ } , 17 ^ { \circ } , 95 ^ { \circ }$ 
D)  $20 ^ { \circ } , 5 ^ { \circ } , 155 ^ { \circ }$

Question 4

Write the following as an algebraic expression. Then simplify.
-The sum of three consecutive integers if the last integer is z.

Accepted Answer

A)   3z-3 
B)   3z 
C)   3z+3 
D)   3z+6 
A)   3z-3 
B)   3z 
C)   3z+3 
D)   3z+6

Question 5

Solve the inequality. Then graph the solution set and write it in interval notation.
-$| x | < 2$

Accepted Answer

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

Question 6

Determine whether the number is a solution of the equation
$- 4 ; 2 + 3 x = - 10$

Accepted Answer

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

Question 7

Solve.
-Find the amount of money in an account after 12 years if a principal of $2800 is invested at 3.8% interest compounded quarterly.

Accepted Answer

A)  $4380.53 
B)  $ 7796.11 
C)  $4408.20 
D)  $4414.52 
A)  $4380.53 
B)  $ 7796.11 
C)  $4408.20 
D)  $4414.52

Question 8

Write the solution set using interval notation.
-$5 ( 15 x + 1 ) > 5$

Accepted Answer

A)  $\left[ \frac { 1 } { 75 } , \infty \right)$ 
B)  $[ 0 , \infty )$ 
C)  $\left( \frac { 1 } { 75 } , \infty \right)$ 
D)  $( 0 , \infty )$ 
A)  $\left[ \frac { 1 } { 75 } , \infty \right)$ 
B)  $[ 0 , \infty )$ 
C)  $\left( \frac { 1 } { 75 } , \infty \right)$ 
D)  $( 0 , \infty )$

Question 9

Solve.
-$| 4 x + 8 | = | x - 9 |$

Accepted Answer

A)  $\left\{ - \frac { 17 } { 3 } , \frac { 1 } { 5 } \right\}$ 
B)  $\left\{ \frac { 17 } { 3 } , - \frac { 1 } { 5 } \right\}$ 
C)  $\left\{ - \frac { 17 } { 3 } , 5 \right\}$ 
D)  $\phi$ 
A)  $\left\{ - \frac { 17 } { 3 } , \frac { 1 } { 5 } \right\}$ 
B)  $\left\{ \frac { 17 } { 3 } , - \frac { 1 } { 5 } \right\}$ 
C)  $\left\{ - \frac { 17 } { 3 } , 5 \right\}$ 
D)  $\phi$

Question 10

Solve the equation for the specified variable.
-A=P(1+r t) for r

Accepted Answer

A)  $\mathrm { r } = \frac { \mathrm { P } - \mathrm { A } } { \mathrm { Pt } }$ 
B)  $\mathrm { r } = \frac { \mathrm { Pt } } { \mathrm { A } - \mathrm { P } }$ 
C)  $r = \frac { A } { t }$ 
D)  $\mathrm { r } = \frac { \mathrm { A } - \mathrm { P } } { \mathrm { Pt } }$ 
A)  $\mathrm { r } = \frac { \mathrm { P } - \mathrm { A } } { \mathrm { Pt } }$ 
B)  $\mathrm { r } = \frac { \mathrm { Pt } } { \mathrm { A } - \mathrm { P } }$ 
C)  $r = \frac { A } { t }$ 
D)  $\mathrm { r } = \frac { \mathrm { A } - \mathrm { P } } { \mathrm { Pt } }$

Question 11

Solve.
-$| x + 5 | = 9$

Accepted Answer

A)   {14,4} 
B)   {-4} 
C)   {-14,4} 
D)   $\phi$ 
A)   {14,4} 
B)   {-4} 
C)   {-14,4} 
D)   $\phi$

Question 12

Write the solution set using interval notation.
-A standard train ticket in a certain city costs $3.00 per ride. People who use the train also have the option of purchasing a frequent rider pass for $18.00 each month. With the pass, a ticket costs only $2.25 per ride. Use an
Inequality to determine the number of train rides in a month for which purchasing the monthly pass is more
Economical than purchasing the standard train ticket.

Accepted Answer

A)  23 or more times 
B)  25 or more times 
C)  26 or more times 
D)  24 or more times 
A)  23 or more times 
B)  25 or more times 
C)  26 or more times 
D)  24 or more times

Question 13

List the elements of the set.
-If  A={  $x \mid x$ is an even integer  }  and  B={47,49,51,53} , list the elements of $A \cap B$

Accepted Answer

A)   {  $x \mid x$ is an even integer  } 
B)   $\varnothing$ 
C)  {$x \mid x$ is an even integer or  x=47  or  x=49  or  x=51  or  x=53} 
D)   {47,49,51,53} 
A)   {  $x \mid x$ is an even integer  } 
B)   $\varnothing$ 
C)  {$x \mid x$ is an even integer or  x=47  or  x=49  or  x=51  or  x=53} 
D)   {47,49,51,53}

Question 14

Solve the compound inequality. Give the answer in interval notation.
- 4 x+2<5 x+4<6 x-3

Accepted Answer

A)  $( 7 , \infty )$ 
B)  $( - 2 , \infty )$ 
C)   (-2,7) 
D)  $( - \infty , 7 )$ 
A)  $( 7 , \infty )$ 
B)  $( - 2 , \infty )$ 
C)   (-2,7) 
D)  $( - \infty , 7 )$

Question 15

Solve the equation.
-4 y+4=8-4 y

Accepted Answer

A)  $\{ - 2 \}$ 
B)  $\{ 0 \}$ 
C)  $\{ 2 \}$ 
D)  $\left\{ \frac { 1 } { 2 } \right\}$ 
A)  $\{ - 2 \}$ 
B)  $\{ 0 \}$ 
C)  $\{ 2 \}$ 
D)  $\left\{ \frac { 1 } { 2 } \right\}$

Question 16

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

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 17

Solve.
-The width of a room is 9 feet, and the area of the room is 135 square feet. Find the room's length.

Accepted Answer

A)   126ft 
B)   58$\frac { 1 } { 2 }$ ft 
C)   15ft 
D)   1215ft 
A)   126ft 
B)   58$\frac { 1 } { 2 }$ ft 
C)   15ft 
D)   1215ft

Question 18

Solve the equation.
-8(y-7)=10y-56

Accepted Answer

A)   {0} 
B)   {-56} 
C)   {-112} 
D)   {56} 
A)   {0} 
B)   {-56} 
C)   {-112} 
D)   {56}

Question 19

Solve.
-Angle A and angle B are supplementary angles and angle  A is $35 ^ { \circ }$ less than four times angle  B . Find the measures of angle  A  and angle  B .
$\text { Supplementary Angles }$

Accepted Answer

A)  $\mathrm { A } = 151 ^ { \circ } , \mathrm { B } = 29 ^ { \circ }$ 
B)  $\mathrm { A } = 131.7 ^ { \circ } , \mathrm { B } = 48.3 ^ { \circ }$ 
C)  $\mathrm { A } = 137 ^ { \circ } , \mathrm { B } = 43 ^ { \circ }$ 
D)  $A = 172 ^ { \circ } , B = 8 ^ { \circ }$ 
A)  $\mathrm { A } = 151 ^ { \circ } , \mathrm { B } = 29 ^ { \circ }$ 
B)  $\mathrm { A } = 131.7 ^ { \circ } , \mathrm { B } = 48.3 ^ { \circ }$ 
C)  $\mathrm { A } = 137 ^ { \circ } , \mathrm { B } = 43 ^ { \circ }$ 
D)  $A = 172 ^ { \circ } , B = 8 ^ { \circ }$

Question 20

Solve.
-$\left| \frac { 4 x - 5 } { 7 } \right| = | - 3 |$

Accepted Answer

A)  $\{ 4 \}$ 
B)  $\left\{ \frac { 13 } { 2 } , - 4 \right\}$ 
C)  $\left\{ - \frac { 13 } { 2 } \right\}$ 
D)  $\phi$ 
A)  $\{ 4 \}$ 
B)  $\left\{ \frac { 13 } { 2 } , - 4 \right\}$ 
C)  $\left\{ - \frac { 13 } { 2 } \right\}$ 
D)  $\phi$

Solve the equation. -5 x+7=22

Solve the inequality. Then graph the solution set and write it in interval notation. - $| 5 k + 8 | - 3 > 2$

Solve. -Find the measures of the angles of a triangle if the measure of the first angle is four times the measure of the second angle and the third angle is $30 ^ { \circ }$ more than the second angle.

Write the following as an algebraic expression. Then simplify. -The sum of three consecutive integers if the last integer is z.

Solve the inequality. Then graph the solution set and write it in interval notation. - $| x | < 2$

Determine whether the number is a solution of the equation $- 4 ; 2 + 3 x = - 10$

Solve. -Find the amount of money in an account after 12 years if a principal of $2800 is invested at 3.8% interest compounded quarterly.

Write the solution set using interval notation. - $5 ( 15 x + 1 ) > 5$

Solve. - $| 4 x + 8 | = | x - 9 |$

Solve the equation for the specified variable. -A=P(1+r t) for r

Solve. - $| x + 5 | = 9$

List the elements of the set. -If A={ $x \mid x$ is an even integer } and B={47,49,51,53} , list the elements of $A \cap B$

Solve the compound inequality. Give the answer in interval notation. - 4 x+2<5 x+4<6 x-3

Solve the equation. -4 y+4=8-4 y

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

Solve. -The width of a room is 9 feet, and the area of the room is 135 square feet. Find the room's length.

Solve the equation. -8(y-7)=10y-56

Solve. - $\left| \frac { 4 x - 5 } { 7 } \right| = | - 3 |$

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Exam 2: Equations, Inequalities, and Problem Solving