Question 1

Solve the inequality. Write the answer in interval notation.
-$x \geq 5 \text { and } x \geq 3$

Accepted Answer

A)  $Q$ 
B)  $[ 3 , \infty )$ 
C)   [3,5] 
D)  $[ 5 , \infty )$ 
A)  $Q$ 
B)  $[ 3 , \infty )$ 
C)   [3,5] 
D)  $[ 5 , \infty )$

Question 2

Solve the inequality. Then graph the solution set and write it in interval notation.
-$| x | > 3$

Accepted Answer

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

Question 3

Solve the inequality. Then graph the solution set and write it in interval notation.
-$| x - 2 | \leq 0$

Accepted Answer

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

Question 4

Solve.
-Angle A and angle B are complementary angles and angle A  is $2 ^ { \circ }$ more than three times angle  B . Find the measures of angle  A and angle  B .
\(\text { Complemenatry Angles }\

Accepted Answer

A)  $\mathrm { A } = 48 ^ { \circ } , \mathrm { B } = 42 ^ { \circ }$ 
B)  $\mathrm { A } = 68 ^ { \circ } , \mathrm { B } = 22 ^ { \circ }$ 
C)  $\mathrm { A } = 42 ^ { \circ } , \mathrm { B } = 48 ^ { \circ }$ 
D)  $\mathrm { A } = 22 ^ { \circ } , \mathrm { B } = 68 ^ { \circ }$ 
A)  $\mathrm { A } = 48 ^ { \circ } , \mathrm { B } = 42 ^ { \circ }$ 
B)  $\mathrm { A } = 68 ^ { \circ } , \mathrm { B } = 22 ^ { \circ }$ 
C)  $\mathrm { A } = 42 ^ { \circ } , \mathrm { B } = 48 ^ { \circ }$ 
D)  $\mathrm { A } = 22 ^ { \circ } , \mathrm { B } = 68 ^ { \circ }$

Question 5

Solve the equation.
- 0.01y +0.12(800-y)=0.14y

Accepted Answer

A)  {240} 
B)   {384} 
C)   {24} 
D)   {768} 
A)  {240} 
B)   {384} 
C)   {24} 
D)   {768}

Question 6

Solve the inequality. Write the answer in interval notation.
-$- 7 < 2 ( x - 1 ) \leq 5$

Accepted Answer

A)  $\left( - \frac { 5 } { 2 } , \frac { 7 } { 2 } \right]$ 
B)  [-2, 3] 
C)  $\left( - \infty , - \frac { 5 } { 2 } \right) \cup \left[ \frac { 3 } { 2 } , \infty \right]$ 
D)  $\left( - \frac { 9 } { 2 } , \frac { 3 } { 2 } \right]$ 
A)  $\left( - \frac { 5 } { 2 } , \frac { 7 } { 2 } \right]$ 
B)  [-2, 3] 
C)  $\left( - \infty , - \frac { 5 } { 2 } \right) \cup \left[ \frac { 3 } { 2 } , \infty \right]$ 
D)  $\left( - \frac { 9 } { 2 } , \frac { 3 } { 2 } \right]$

Question 7

Use the formula A $$A = P \left( 1 + \frac { r } { n } \right) ^ { n }$$ to find the amount requested.
-A principal of $14,000 is invisted in an account paying on annual interest rate of 10%. Find the amount in the account after 15 years if hte account is compounded quarterly.

Accepted Answer

A)  $46,507.19 
B)  $57,625.90 
C)  $58,481.47 
D)  $60,507.19 
A)  $46,507.19 
B)  $57,625.90 
C)  $58,481.47 
D)  $60,507.19

Question 8

Write the solution set using interval notation.
-An archer has $88 to spend on a new archey set. Acertain set containing a bow and three arrows costs $40. With the purchase of this set, he can purchase additional arrows for $8 per arrow. Use an inequa;ity to find the maximum number of arrows he could obtain, including those with the set, for his $88.

Accepted Answer

A)  at most 11 arrows 
B)  at most 9 arrows 
C)  at most 11/5 arrows 
D)  at most 6 arrows 
A)  at most 11 arrows 
B)  at most 9 arrows 
C)  at most 11/5 arrows 
D)  at most 6 arrows

Question 9

Graph the solution set of the inequality and write it in interval notation.
-$\{ x \mid 0 \geq x \geq - 4 \}$

Accepted Answer

A)  $[ - 4,0 ]$
  
B)  $( - 4,0 )$
  
C)  $( - 4,0 ]$
  
D)  $[ - 4,0 )$
  
A)  $[ - 4,0 ]$
  
B)  $( - 4,0 )$
  
C)  $( - 4,0 ]$
  
D)  $[ - 4,0 )$

Question 10

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

Accepted Answer

A)  $( - \infty , 1 )$ 
B)   (-2,1) 
C)  $( - \infty , - 2 ) \cup ( 1 , \infty )$ 
D)  $( - \infty , \infty )$ 
A)  $( - \infty , 1 )$ 
B)   (-2,1) 
C)  $( - \infty , - 2 ) \cup ( 1 , \infty )$ 
D)  $( - \infty , \infty )$

Question 11

Solve the equation.
-$\frac { z + 8 } { 9 } + 1 = \frac { 2 z + 1 } { 6 }$

Accepted Answer

A)  $\left\{ \frac { 31 } { 3 } \right\}$ 
B)  $\left\{ \frac { 31 } { 4 } \right\}$ 
C)  $\left\{ \frac { 37 } { 4 } \right\}$ 
D)  $\left\{ \frac { 7 } { 2 } \right\}$ 
A)  $\left\{ \frac { 31 } { 3 } \right\}$ 
B)  $\left\{ \frac { 31 } { 4 } \right\}$ 
C)  $\left\{ \frac { 37 } { 4 } \right\}$ 
D)  $\left\{ \frac { 7 } { 2 } \right\}$

Question 12

Solve the equation.
-$\frac { x + 2 } { 2 } - \frac { 5 x - 12 } { 7 } = 1$

Accepted Answer

A)  $\{ 8 \}$ 
B)  $\{ 4 \}$ 
C)  $\{ - 8 \}$ 
D)   {-24} 
A)  $\{ 8 \}$ 
B)  $\{ 4 \}$ 
C)  $\{ - 8 \}$ 
D)   {-24}

Question 13

Solve the compound inequality. Graph the solution set and give the solution in interval notation.
-$x \leq 4 \text { and } x \geq 2$

Accepted Answer

A)  $( 2,4 )$
  
B)  $[ 2,4 ]$
  
C)  $( - \infty , 2 ] \cup [ 4 , \infty )$
  
D)    
A)  $( 2,4 )$
  
B)  $[ 2,4 ]$
  
C)  $( - \infty , 2 ] \cup [ 4 , \infty )$
  
D)

Question 14

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

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 15

Solve the equation.
- (x-8)-(x+2)=9x

Accepted Answer

A)  $\left\{ - \frac { 5 } { 3 } \right\}$ 
B)  $\left\{ - \frac { 5 } { 4 } \right\}$ 
C)  $\left\{ - \frac { 10 } { 9 } \right\}$ 
D)  $\left\{ - \frac { 7 } { 9 } \right\}$ 
A)  $\left\{ - \frac { 5 } { 3 } \right\}$ 
B)  $\left\{ - \frac { 5 } { 4 } \right\}$ 
C)  $\left\{ - \frac { 10 } { 9 } \right\}$ 
D)  $\left\{ - \frac { 7 } { 9 } \right\}$

Question 16

Solve the compound inequality. Give the answer in interval notation.
- -9x>-27  or  x+9>11

Accepted Answer

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

Question 17

List the elements of the set.
-If  A={$x \mid x$  is an even integer  }  and  B={-11,-9,-7,-5} , list the elements of $A \cup B$

Accepted Answer

A)  { $x \mid x$ is an even integer } 
B)   $\phi$ 
C)   {-11,-9,-7,-5} 
D)   { $x \mid x$ is an even integer or  x=-11  or  x=-9  or  x=-7  or  x=-5} 
A)  { $x \mid x$ is an even integer } 
B)   $\phi$ 
C)   {-11,-9,-7,-5} 
D)   { $x \mid x$ is an even integer or  x=-11  or  x=-9  or  x=-7  or  x=-5}

Question 18

Solve the inequality. Write the answer in interval notation.
-$8 x + 4 > 7 x + 7 \text { or } 1 - x > - 5$

Accepted Answer

A)  $( - \infty , \infty )$ 
B)  $\phi$ 
C)  $( - \infty , 3 ) \cup ( 6 , \infty )$ 
D)   (3,6) 
A)  $( - \infty , \infty )$ 
B)  $\phi$ 
C)  $( - \infty , 3 ) \cup ( 6 , \infty )$ 
D)   (3,6)

Question 19

Solve the inequality. Then graph the solution set and write it in interval notation.
-$| x | < - 3$

Accepted Answer

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

Question 20

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

Accepted Answer

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

Solve the inequality. Write the answer in interval notation. - $x \geq 5 \text { and } x \geq 3$

Solve the inequality. Then graph the solution set and write it in interval notation. - $| x | > 3$

Solve the inequality. Then graph the solution set and write it in interval notation. - $| x - 2 | \leq 0$ $Solve the inequality. Then graph the solution set and write it in interval notation. - | x - 2 | \leq 0$

Solve the equation. - 0.01y +0.12(800-y)=0.14y

Solve the inequality. Write the answer in interval notation. - $- 7 < 2 ( x - 1 ) \leq 5$

Use the formula A $A = P \left( 1 + \frac { r } { n } \right) ^ { n }$ to find the amount requested. -A principal of $14,000 is invisted in an account paying on annual interest rate of 10%. Find the amount in the account after 15 years if hte account is compounded quarterly.

Graph the solution set of the inequality and write it in interval notation. - $\{ x \mid 0 \geq x \geq - 4 \}$ $Graph the solution set of the inequality and write it in interval notation. - \{ x \mid 0 \geq x \geq - 4 \}$

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

Solve the equation. - $\frac { z + 8 } { 9 } + 1 = \frac { 2 z + 1 } { 6 }$

Solve the equation. - $\frac { x + 2 } { 2 } - \frac { 5 x - 12 } { 7 } = 1$

Solve the compound inequality. Graph the solution set and give the solution in interval notation. - $x \leq 4 \text { and } x \geq 2$ $Solve the compound inequality. Graph the solution set and give the solution in interval notation. - x \leq 4 \text { and } x \geq 2$

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

Solve the equation. - (x-8)-(x+2)=9x

Solve the compound inequality. Give the answer in interval notation. - -9x>-27 or x+9>11

List the elements of the set. -If A={ $x \mid x$ is an even integer } and B={-11,-9,-7,-5} , list the elements of $A \cup B$

Solve the inequality. Write the answer in interval notation. - $8 x + 4 > 7 x + 7 \text { or } 1 - x > - 5$

Solve the inequality. Then graph the solution set and write it in interval notation. - $| x | < - 3$

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

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Exam 2: Equations, Inequalities, and Problem Solving

Solve the inequality. Write the answer in interval notation. - x≥5 and x≥3x \geq 5 \text { and } x \geq 3x≥5 and x≥3

Solve the inequality. Then graph the solution set and write it in interval notation. - ∣x∣>3| x | > 3∣x∣>3

Solve the inequality. Then graph the solution set and write it in interval notation. - ∣x−2∣≤0| x - 2 | \leq 0∣x−2∣≤0

Solve. -Angle A and angle B are complementary angles and angle A is 2∘2 ^ { \circ }2∘ more than three times angle B . Find the measures of angle A and angle B . \(\text { Complemenatry Angles }\