Question 1

Solve the equation for the specified variable.
-$I = \frac { n E } { n r + R }$ for n

Accepted Answer

A)  $\mathrm { n } = \frac { \mathrm { IR } } { \mathrm { Ir } + \mathrm { E } }$ 
B)  $\mathrm { n } = \frac { - \mathrm { IR } } { \mathrm { Ir } - \mathrm { E } }$ 
C)   n=IR(Ir-
E)  
D)  $n = \frac { - R } { I r - E }$ 
A)  $\mathrm { n } = \frac { \mathrm { IR } } { \mathrm { Ir } + \mathrm { E } }$ 
B)  $\mathrm { n } = \frac { - \mathrm { IR } } { \mathrm { Ir } - \mathrm { E } }$ 
C)   n=IR(Ir-
E)  
D)  $n = \frac { - R } { I r - E }$

Question 2

Solve.
-An office bulding rents an office space fpr $810. The space is a rectangle tthat measures 10 ft * 27 ft. Find what the tenant is paying in rent per square foot.

Accepted Answer

A)  $3 per sq ft 
B)  $81 per sq ft 
C)  $540 per sq ft 
D)  $270 per sq ft 
A)  $3 per sq ft 
B)  $81 per sq ft 
C)  $540 per sq ft 
D)  $270 per sq ft

Question 3

Write the solution set using interval notation.
-$- 7 ( y - 9 ) \leq - 9 y + 63$

Accepted Answer

A)  $( - \infty , 63 )$ 
B)  $( 0 , \infty )$ 
C)  $[ 126 , \infty )$ 
D)  $( - \infty , 0 ]$ 
A)  $( - \infty , 63 )$ 
B)  $( 0 , \infty )$ 
C)  $[ 126 , \infty )$ 
D)  $( - \infty , 0 ]$

Question 4

List the elements of the set.
-If  A={47,48,49,52}  and  B={45,47,48,50} , list the elements of $A \cup B \text {, }$

Accepted Answer

A)   $\varnothing$ 
B)   {45,49,50,52} 
C)   {47,48} 
D)   {45,47,48,49,50,52} 
A)   $\varnothing$ 
B)   {45,49,50,52} 
C)   {47,48} 
D)   {45,47,48,49,50,52}

Question 5

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 integers  17,18,19  are examples of_____

Accepted Answer

A)  identity 
B)  consecutive integers 
C)  absolute value 
D)  contradiction 
A)  identity 
B)  consecutive integers 
C)  absolute value 
D)  contradiction

Question 6

Write the solution set using interval notation.
-When making a long distance call from a certain pay phone, the first three minutes of a call cost $2.10. After that, each additional minute or portion of a minute of that call costs $0.20. Use an inequality to find the
Maximum number of minutes one can call long distance for $2.50.

Accepted Answer

A)  at most 1 minutes 
B)  at most 5 minutes 
C)  at most 13 minutes 
D)  at most 2 minutes 
A)  at most 1 minutes 
B)  at most 5 minutes 
C)  at most 13 minutes 
D)  at most 2 minutes

Question 7

Solve the equation.
- 5(x-1)+x=6(x+1)-11

Accepted Answer

A)  $\varnothing$ 
B)   {0} 
C)  {$x \mid X$ is a real number} 
D)   {5} 
A)  $\varnothing$ 
B)   {0} 
C)  {$x \mid X$ is a real number} 
D)   {5}

Question 8

Solve the compound inequality. Graph the solution set and give the solution in interval notation.
-$x \leq 4 \text { or } x \geq 7$

Accepted Answer

A)  $( - \infty , 4 ] \cup [ 7 , \infty )$
  
B)  $( - 4,7 )$
  
C)  $( 4,7 )$
  
D)  $[ - 7 , - 4 ]$
  
A)  $( - \infty , 4 ] \cup [ 7 , \infty )$
  
B)  $( - 4,7 )$
  
C)  $( 4,7 )$
  
D)  $[ - 7 , - 4 ]$

Question 9

Solve the inequality. Then graph the solution set and write it in interval notation.
-$| 2 x - 9 | > 0$

Accepted Answer

A)  $\left( \frac { 9 } { 2 } , \infty \right)$
  
B)  $\left( - \infty , - \frac { 9 } { 2 } \right) \cup \left( \frac { 9 } { 2 } , \infty \right)$
  
C)  $\left( - \frac { 9 } { 2 } , \frac { 9 } { 2 } \right)$
  
D)  $\left( - \infty , \frac { 9 } { 2 } \right) \cup \left( \frac { 9 } { 2 } , \infty \right)$
  
A)  $\left( \frac { 9 } { 2 } , \infty \right)$
  
B)  $\left( - \infty , - \frac { 9 } { 2 } \right) \cup \left( \frac { 9 } { 2 } , \infty \right)$
  
C)  $\left( - \frac { 9 } { 2 } , \frac { 9 } { 2 } \right)$
  
D)  $\left( - \infty , \frac { 9 } { 2 } \right) \cup \left( \frac { 9 } { 2 } , \infty \right)$

Question 10

Graph the solution set of the inequality and write it in interval notation.
-$5 x \geq 15$

Accepted Answer

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

Question 11

Solve the equation for the specified variable.
-$6 x - 7 y = 4$ for y

Accepted Answer

A)  $y = \frac { 6 x + 4 } { 7 }$ 
B)  $y = \frac { 4 - 6 x } { 7 }$ 
C)  y=6x -4 
D)  $y = \frac { 6 x - 4 } { 7 }$ 
A)  $y = \frac { 6 x + 4 } { 7 }$ 
B)  $y = \frac { 4 - 6 x } { 7 }$ 
C)  y=6x -4 
D)  $y = \frac { 6 x - 4 } { 7 }$

Question 12

Solve the compound inequality. Give the answer in interval notation.
-$11 \leq 3 x + 5 \leq 20$

Accepted Answer

A)   [-5,-2] 
B)   (2,5) 
C)   (-5,-2) 
D)   [2,5] 
A)   [-5,-2] 
B)   (2,5) 
C)   (-5,-2) 
D)   [2,5]

Question 13

Solve the equation.
-$| 6 t + 9 | = - 3$

Accepted Answer

A)  $\{ 1,2 \}$ 
B)  $Q$ 
C)  $\{ - 1 , - 2 \}$ 
D)  $\left\{ - \frac { 2 } { 3 } , - \frac { 4 } { 3 } \right\}$ 
A)  $\{ 1,2 \}$ 
B)  $Q$ 
C)  $\{ - 1 , - 2 \}$ 
D)  $\left\{ - \frac { 2 } { 3 } , - \frac { 4 } { 3 } \right\}$

Question 14

Write the solution set using interval notation.
-8 x-4.2<4 x-11

Accepted Answer

A)  $[ - 1.7 , \infty )$ 
B)  $( - 1.7 , \infty )$ 
C)  $( - \infty , - 1.7 )$ 
D)  $( - \infty , - 1.7 ]$ 
A)  $[ - 1.7 , \infty )$ 
B)  $( - 1.7 , \infty )$ 
C)  $( - \infty , - 1.7 )$ 
D)  $( - \infty , - 1.7 ]$

Question 15

Solve the equation.
- -6(z+7)-(-7z-6)=-4

Accepted Answer

A)   {-40} 
B)   {17} 
C)   {-32} 
D)   {32} 
A)   {-40} 
B)   {17} 
C)   {-32} 
D)   {32}

Question 16

Solve the equation for the specified variable.
- P=a+b+c  for  c

Accepted Answer

A)   c=P-a-b 
B)   c=P+a+b 
C)   c =P+a-b 
D)   c=a+b-P 
A)   c=P-a-b 
B)   c=P+a+b 
C)   c =P+a-b 
D)   c=a+b-P

Question 17

Solve the equation.
-2 x-1-9 x-8=5 x-12 x-12

Accepted Answer

A)   $\varnothing$ 
B)   {-288} 
C)   {0} 
D)  {$x \mid x$ is a real number} 
A)   $\varnothing$ 
B)   {-288} 
C)   {0} 
D)  {$x \mid x$ is a real number}

Question 18

Solve the inequality. Write the answer in interval notation.
-$| x - 4 | + 7 < 10$

Accepted Answer

A)   $\varnothing$ 
B)   (1,7) 
C)   (1,10) 
D)   [1,7] 
A)   $\varnothing$ 
B)   (1,7) 
C)   (1,10) 
D)   [1,7]

Question 19

Write the following as an algebraic expression. Then simplify.
-The perimeter of a square with sides of length  x-6 .

Accepted Answer

A)   x-24 
B)   4x-24 
C)   4x-6 
D)   x2+-12x+36 
A)   x-24 
B)   4x-24 
C)   4x-6 
D)   x2+-12x+36

Question 20

Solve the inequality. Write the solution set in interval notation and graph the solution set.
-$3 x - 7 \geq 2 x - 8$

Accepted Answer

A)  $( - \infty , - 1 ]$
  
B)  $[ - 1 , \infty )$
  
C)  $( - 15 , \infty )$
  
D)  $( - 1 , \infty )$
  
A)  $( - \infty , - 1 ]$
  
B)  $[ - 1 , \infty )$
  
C)  $( - 15 , \infty )$
  
D)  $( - 1 , \infty )$

Solve the equation for the specified variable. - $I = \frac { n E } { n r + R }$ for n

Solve. -An office bulding rents an office space fpr $810. The space is a rectangle tthat measures 10 ft * 27 ft. Find what the tenant is paying in rent per square foot.

Write the solution set using interval notation. - $- 7 ( y - 9 ) \leq - 9 y + 63$

List the elements of the set. -If A={47,48,49,52} and B={45,47,48,50} , list the elements of $A \cup B \text {, }$

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 integers 17,18,19 are examples of_____

Solve the equation. - 5(x-1)+x=6(x+1)-11

Solve the compound inequality. Graph the solution set and give the solution in interval notation. - $x \leq 4 \text { or } x \geq 7$ $Solve the compound inequality. Graph the solution set and give the solution in interval notation. - x \leq 4 \text { or } x \geq 7$

Solve the inequality. Then graph the solution set and write it in interval notation. - $| 2 x - 9 | > 0$

Graph the solution set of the inequality and write it in interval notation. - $5 x \geq 15$ $Graph the solution set of the inequality and write it in interval notation. - 5 x \geq 15$

Solve the equation for the specified variable. - $6 x - 7 y = 4$ for y

Solve the compound inequality. Give the answer in interval notation. - $11 \leq 3 x + 5 \leq 20$

Solve the equation. - $| 6 t + 9 | = - 3$

Write the solution set using interval notation. -8 x-4.2<4 x-11

Solve the equation. - -6(z+7)-(-7z-6)=-4

Solve the equation for the specified variable. - P=a+b+c for c

Solve the equation. -2 x-1-9 x-8=5 x-12 x-12

Solve the inequality. Write the answer in interval notation. - $| x - 4 | + 7 < 10$

Write the following as an algebraic expression. Then simplify. -The perimeter of a square with sides of length x-6 .

Solve the inequality. Write the solution set in interval notation and graph the solution set. - $3 x - 7 \geq 2 x - 8$ $Solve the inequality. Write the solution set in interval notation and graph the solution set. - 3 x - 7 \geq 2 x - 8$

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Exam 2: Equations, Inequalities, and Problem Solving

Solve the equation for the specified variable. - I=nEnr+RI = \frac { n E } { n r + R }I=nr+RnE​ for n