Question 1

Solve.
-Use the formula  F=$\frac { 9 } { 5 }$C+32  to write $- 50 ^ { \circ } \mathrm { C }$ as degrees Fahrenheit.

Accepted Answer

A)  $- 45.8 ^ { \circ } \mathrm { F }$ 
B)  $- 58 ^ { \circ } \mathrm { F }$ 
C)  $- 10.2 ^ { \circ } \mathrm { F }$ 
D)  $- 122 ^ { \circ } \mathrm { F }$ 
A)  $- 45.8 ^ { \circ } \mathrm { F }$ 
B)  $- 58 ^ { \circ } \mathrm { F }$ 
C)  $- 10.2 ^ { \circ } \mathrm { F }$ 
D)  $- 122 ^ { \circ } \mathrm { F }$

Question 2

Solve the equation.
-y-5=18

Accepted Answer

A)   {-13} 
B)   {23} 
C)   {-23} 
D)   {13} 
A)   {-13} 
B)   {23} 
C)   {-23} 
D)   {13}

Question 3

Solve the equation.
- 14 x+18=5 x-18

Accepted Answer

A)   {4} 
B)   {2} 
C)   {-2} 
D)   {-4} 
A)   {4} 
B)   {2} 
C)   {-2} 
D)   {-4}

Question 4

Determine whether the number is a solution of the equation
$- 2 ; 8 - 4 x = 0$

Accepted Answer

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

Question 5

List the elements of the set.
-If  A={ $x \mid x$ is an odd integer }  and  B={17,19,20,22} , list the elements of $\mathrm { A } \cup \mathrm { B }$ .

Accepted Answer

A)  {$x \mid x$ is an odd integer} 
B)   {17,19} 
C)   {  $x \mid x$ is an odd integer or  x=20  or  x=22} 
D)  $\varnothing$ 
A)  {$x \mid x$ is an odd integer} 
B)   {17,19} 
C)   {  $x \mid x$ is an odd integer or  x=20  or  x=22} 
D)  $\varnothing$

Question 6

Solve.
-In a recent International Gymnastics competition, the U.S., China, and Romania were the big winners. If the total number of medals won by each team are three consecutive integers whose sum is 81 and the U.S. won more than China who won more than Romania, how many medals did each team win?

Accepted Answer

A)  U.S.: 29 medals; China: 28 medals; Romania: 27 medals 
B)  U.S.: 83 medals; China: 82 medals; Romania: 81 medals 
C)  U.S.: 28 medals; China: 27 medals; Romania: 26 medals 
D)  U.S.: 26 medals; China: 25 medals; Romania: 24 medals 
A)  U.S.: 29 medals; China: 28 medals; Romania: 27 medals 
B)  U.S.: 83 medals; China: 82 medals; Romania: 81 medals 
C)  U.S.: 28 medals; China: 27 medals; Romania: 26 medals 
D)  U.S.: 26 medals; China: 25 medals; Romania: 24 medals

Question 7

Graph the solution set of the inequality and write it in interval notation.
-$\{ x \mid 2 \leq x \leq 6 \}$

Accepted Answer

A)  $( 2,6 )$
  
B)  $[ 2,6 ]$
  
C)  $( 2,6 ]$
  
D)  $[ 2,6 )$
  
A)  $( 2,6 )$
  
B)  $[ 2,6 ]$
  
C)  $( 2,6 ]$
  
D)  $[ 2,6 )$

Question 8

Write the following as an algebraic expression. Then simplify.
-The perimeter of a triangle whose sides are of lengths  5 x, 5 x-5 , and  x .

Accepted Answer

A)   10x -5 
B)   25x2 -25x 
C)   11x -5 
D)   5x 
A)   10x -5 
B)   25x2 -25x 
C)   11x -5 
D)   5x

Question 9

Solve.
-$33 billion a year is spent on tourism in Florida, Louisiana, and Mississippi. Tourists spend $2 billion more in Louisiana than they do in Mississippi. In Florida they spend $1 billion less than twice the amount spent in
Mississippi. Find the amount spent in each state.

Accepted Answer

A)  Mississippi: $7 billion; Louisiana: $9 billion; Florida: $13 billion 
B)  Mississippi: $10 billion; Louisiana: $12 billion; Florida: $11 billion 
C)  Mississippi: $8 billion; Louisiana: $10 billion; Florida: $15 billion 
D)  Mississippi: $9 billion; Louisiana: $11 billion; Florida: $17 billion 
A)  Mississippi: $7 billion; Louisiana: $9 billion; Florida: $13 billion 
B)  Mississippi: $10 billion; Louisiana: $12 billion; Florida: $11 billion 
C)  Mississippi: $8 billion; Louisiana: $10 billion; Florida: $15 billion 
D)  Mississippi: $9 billion; Louisiana: $11 billion; Florida: $17 billion

Question 10

Write the solution set using interval notation.
- 5(4 x-1)>20

Accepted Answer

A)  $\left[ \frac { 21 } { 20 } , \infty \right)$ 
B)  $\left( \frac { 5 } { 4 } , \infty \right)$ 
C)  $\left( \frac { 3 } { 4 } , \infty \right)$ 
D)  $\left[ \frac { 19 } { 20 } , \infty \right)$ 
A)  $\left[ \frac { 21 } { 20 } , \infty \right)$ 
B)  $\left( \frac { 5 } { 4 } , \infty \right)$ 
C)  $\left( \frac { 3 } { 4 } , \infty \right)$ 
D)  $\left[ \frac { 19 } { 20 } , \infty \right)$

Question 11

Solve the compound inequality. Give the answer in interval notation.
- 5 x8

Accepted Answer

A)  $( - \infty , 3 ) \cup ( 5 , \infty )$ 
B)   (3,5) 
C)   [3,5] 
D)  $\phi$ 
A)  $( - \infty , 3 ) \cup ( 5 , \infty )$ 
B)   (3,5) 
C)   [3,5] 
D)  $\phi$

Question 12

Write the inequality.
-Write  x>11  or  x<-11  as an inequality containing absolute value.

Accepted Answer

A)  $| x |  12$ 
C)  $| x | > 11$ 
D)  $| x | \geq 12$ 
A)  $| x |  12$ 
C)  $| x | > 11$ 
D)  $| x | \geq 12$

Question 13

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l } 
\text { contradiction } & \text { linear inequality in one variable compound inequalitysolution } \
\text { absolute value } & \text { consecutive integers union } \
\text { formula } & \text { linear equation in one variable intersection }
\end{array}$$
-An equation in one variable that has no solution is called a(n)_____

Accepted Answer

A)  identity 
B)  formula 
C)  linear inequality in one variable 
D)  contradiction 
A)  identity 
B)  formula 
C)  linear inequality in one variable 
D)  contradiction

Question 14

Solve.
-$| - 4 x - 10 | = | - 9 + 3 x |$

Accepted Answer

A)  $\left\{ - \frac { 1 } { 7 } \right\}$ 
B)  $\left\{ - \frac { 1 } { 7 } , - 19 \right\}$ 
C)  $\left\{ - \frac { 1 } { 7 } , 19 \right\}$ 
D)  $\phi$ 
A)  $\left\{ - \frac { 1 } { 7 } \right\}$ 
B)  $\left\{ - \frac { 1 } { 7 } , - 19 \right\}$ 
C)  $\left\{ - \frac { 1 } { 7 } , 19 \right\}$ 
D)  $\phi$

Question 15

Solve.
-$| 5 x + 9 | + 8 = 3$

Accepted Answer

A)  $\left\{ \frac { 4 } { 5 } , \frac { 14 } { 5 } \right\}$ 
B)  $\left\{ - \frac { 4 } { 5 } , - \frac { 14 } { 5 } \right\}$ 
C)  $\left\{ - \frac { 4 } { 9 } , - \frac { 14 } { 9 } \right\}$ 
D)  $\varnothing$ 
A)  $\left\{ \frac { 4 } { 5 } , \frac { 14 } { 5 } \right\}$ 
B)  $\left\{ - \frac { 4 } { 5 } , - \frac { 14 } { 5 } \right\}$ 
C)  $\left\{ - \frac { 4 } { 9 } , - \frac { 14 } { 9 } \right\}$ 
D)  $\varnothing$

Question 16

Solve the equation.
-11(x+3)=6[10-2(3-x)+10]

Accepted Answer

A)   {3} 
B)   {-51} 
C)   {-6} 
D)   {51} 
A)   {3} 
B)   {-51} 
C)   {-6} 
D)   {51}

Question 17

Solve.
-The difference of a number and 8 is the same as 46 less the number. Find the number.

Accepted Answer

A)  27 
B)  19 
C)   -27 
D)   -19 
A)  27 
B)  19 
C)   -27 
D)   -19

Question 18

Solve the compound inequality. Graph the solution set and give the solution in interval notation.
-$x > 5 \text { or } x < 5$

Accepted Answer

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

Question 19

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 statement "  x7 "  is called  a(n)

Accepted Answer

A)  linear equation in one variable 
B)  linear inequality in one variable 
C)  compound inequality 
D)  formula 
A)  linear equation in one variable 
B)  linear inequality in one variable 
C)  compound inequality 
D)  formula

Question 20

Solve.
-Cindy has scores of  74,80,84 , and 89 on her biology tests. Use a compound inequality to find the range of scores she can make on her final exam to receive a  C  in the course. The final exam counts as two tests, and a  C  is received if the final course average is from 70 to 79 .

Accepted Answer

A)  $70 \leq \text { final score } \leq 79$ 
B)  $93 \leq \text { final score } \leq 147$ 
C)  $11.5 \leq \text { final score } \leq 34$ 
D)  $46.5 \leq \text { final score } \leq 73.5$ 
A)  $70 \leq \text { final score } \leq 79$ 
B)  $93 \leq \text { final score } \leq 147$ 
C)  $11.5 \leq \text { final score } \leq 34$ 
D)  $46.5 \leq \text { final score } \leq 73.5$

Solve. -Use the formula F= $\frac { 9 } { 5 }$ C+32 to write $- 50 ^ { \circ } \mathrm { C }$ as degrees Fahrenheit.

Solve the equation. -y-5=18

Solve the equation. - 14 x+18=5 x-18

Determine whether the number is a solution of the equation $- 2 ; 8 - 4 x = 0$

List the elements of the set. -If A={ $x \mid x$ is an odd integer } and B={17,19,20,22} , list the elements of $\mathrm { A } \cup \mathrm { B }$ .

Solve. -In a recent International Gymnastics competition, the U.S., China, and Romania were the big winners. If the total number of medals won by each team are three consecutive integers whose sum is 81 and the U.S. won more than China who won more than Romania, how many medals did each team win?

Graph the solution set of the inequality and write it in interval notation. - $\{ x \mid 2 \leq x \leq 6 \}$ $Graph the solution set of the inequality and write it in interval notation. - \{ x \mid 2 \leq x \leq 6 \}$

Write the following as an algebraic expression. Then simplify. -The perimeter of a triangle whose sides are of lengths 5 x, 5 x-5 , and x .

Solve. -$33 billion a year is spent on tourism in Florida, Louisiana, and Mississippi. Tourists spend $2 billion more in Louisiana than they do in Mississippi. In Florida they spend $1 billion less than twice the amount spent in Mississippi. Find the amount spent in each state.

Write the solution set using interval notation. - 5(4 x-1)>20

Solve the compound inequality. Give the answer in interval notation. - 5 x<25 and x+5>8

Write the inequality. -Write x>11 or x<-11 as an inequality containing absolute value.

Solve. - $| - 4 x - 10 | = | - 9 + 3 x |$

Solve. - $| 5 x + 9 | + 8 = 3$

Solve the equation. -11(x+3)=6[10-2(3-x)+10]

Solve. -The difference of a number and 8 is the same as 46 less the number. Find the number.

Solve the compound inequality. Graph the solution set and give the solution in interval notation. - $x > 5 \text { or } x < 5$ $Solve the compound inequality. Graph the solution set and give the solution in interval notation. - x > 5 \text { or } x < 5$

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 statement " x<5 or x>7 " is called a(n)

Solve. -Cindy has scores of 74,80,84 , and 89 on her biology tests. Use a compound inequality to find the range of scores she can make on her final exam to receive a C in the course. The final exam counts as two tests, and a C is received if the final course average is from 70 to 79 .

Real Numbers and Algebraic Expressions

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Fractions

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Exam 2: Equations, Inequalities, and Problem Solving

Solve. -Use the formula F= 95\frac { 9 } { 5 }59​ C+32 to write −50∘C- 50 ^ { \circ } \mathrm { C }−50∘C as degrees Fahrenheit.