Question 1

Solve the equation.
-$$0.88 x + 0.92 ( 10 - x ) = 9$$

Accepted Answer

A)  $\{ - 0.05 \}$ 
B)  $\{ - 5 \}$ 
C)  $\{ 5 \}$ 
D)  $\{ 0.05 \}$ 
A)  $\{ - 0.05 \}$ 
B)  $\{ - 5 \}$ 
C)  $\{ 5 \}$ 
D)  $\{ 0.05 \}$

Question 2

Solve the equation.
-$$\frac { f } { 3 } - 4 = 1$$

Accepted Answer

A)  $\{ - 9 \}$ 
B)  $\{ 9 \}$ 
C)  $\{ 15 \}$ 
D)  $\{ - 15 \}$ 
A)  $\{ - 9 \}$ 
B)  $\{ 9 \}$ 
C)  $\{ 15 \}$ 
D)  $\{ - 15 \}$

Question 3

The pie chart below shows the number of pizzas consumed by college students in a typical month. Use the chart to
answer the question.  
-If State University has approximately 25,000 students, about how many would you expect to consume 5-6 pizzas in a typical month?

Accepted Answer

A)  4500 students 
B)  850 students 
C)  8500 students 
D)  450 students 
A)  4500 students 
B)  850 students 
C)  8500 students 
D)  450 students

Question 4

Solve the equation.
--z = -5

Accepted Answer

A)  {5} 
B)  {0} 
C)  {-1} 
D)  {-5} 
A)  {5} 
B)  {0} 
C)  {-1} 
D)  {-5}

Question 5

Solve the equation.
-$$0.02 y + 0.14 ( 5000 - y ) = 0.13 y$$

Accepted Answer

A)  $\{ 175 \}$ 
B)  $\{ 1750 \}$ 
C)  $\{ 8400 \}$ 
D)  $\{ 2800 \}$ 
A)  $\{ 175 \}$ 
B)  $\{ 1750 \}$ 
C)  $\{ 8400 \}$ 
D)  $\{ 2800 \}$

Question 6

Solve the equation using the multiplication property of equality.
-$$\frac { 3 } { 4 } x = 21$$

Accepted Answer

A)  $\left\{ \frac { 63 } { 4 } \right\}$ 
B)  $\left\{ \frac { 81 } { 4 } \right\}$ 
C)  $\left\{ \frac { 87 } { 4 } \right\}$ 
D)  $\{ 28 \}$ 
A)  $\left\{ \frac { 63 } { 4 } \right\}$ 
B)  $\left\{ \frac { 81 } { 4 } \right\}$ 
C)  $\left\{ \frac { 87 } { 4 } \right\}$ 
D)  $\{ 28 \}$

Question 7

Solve the equation using both the addition and multiplication properties of equality.
--4x = 66 + 7x

Accepted Answer

A)  {6} 
B)  {77} 
C)  {-5} 
D)  {-6} 
A)  {6} 
B)  {77} 
C)  {-5} 
D)  {-6}

Question 8

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all
real numbers.
-$$6 ( x + 4 ) = 6 x + 24$$

Accepted Answer

A)  $\{ x \mid x$ is a real number $\}$ 
B)  $\{ 48 \}$ 
C)  $\varnothing$ 
D)  $\{ 0 \}$ 
A)  $\{ x \mid x$ is a real number $\}$ 
B)  $\{ 48 \}$ 
C)  $\varnothing$ 
D)  $\{ 0 \}$

Question 9

Solve the equation.
-$$5 x - 10 x - 2 x = - 12 - 30$$

Accepted Answer

A)  $\{ 6 \}$ 
B)  $\left\{ \frac { 30 } { 7 } \right\}$ 
C)  $\{ - 10 \}$ 
D)  $\{ - 6 \}$ 
A)  $\{ 6 \}$ 
B)  $\left\{ \frac { 30 } { 7 } \right\}$ 
C)  $\{ - 10 \}$ 
D)  $\{ - 6 \}$

Question 10

Solve the equation using both the addition and multiplication properties of equality.
-8r + 10 = 34

Accepted Answer

A)  {20} 
B)  {5} 
C)  {16} 
D)  {3} 
A)  {20} 
B)  {5} 
C)  {16} 
D)  {3}

Question 11

Determine whether the equation in one variable is linear.
-$$| x + 2 | = 6$$

Accepted Answer

A)  linear 
B)  not linear 
A)  linear 
B)  not linear

Question 12

Determine whether the equation in one variable is linear.
-$$2 x = 5 x ^ { 3 }$$

Accepted Answer

A)  linear 
B)  not linear 
A)  linear 
B)  not linear

Question 13

Solve the equation.
-$$\frac { x + 8 } { 4 } + \frac { x - 2 } { 3 } = \frac { 23 } { 12 }$$

Accepted Answer

A)  $\left\{ \frac { 17 } { 2 } \right\}$ 
B)  $\{ 1 \}$ 
C)  $\{ 0 \}$ 
D)  $\{ 23 \}$ 
A)  $\left\{ \frac { 17 } { 2 } \right\}$ 
B)  $\{ 1 \}$ 
C)  $\{ 0 \}$ 
D)  $\{ 23 \}$

Question 14

Solve the equation.
-$$\frac { r } { 3 } + \frac { 6 } { 3 } = \frac { r } { 6 } + \frac { 8 } { 6 }$$

Accepted Answer

A)  $\{ - 4 \}$ 
B)  $\{ - 12 \}$ 
C)  $\{ 3 \}$ 
D)  $\{ 4 \}$ 
A)  $\{ - 4 \}$ 
B)  $\{ - 12 \}$ 
C)  $\{ 3 \}$ 
D)  $\{ 4 \}$

Question 15

Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number.
-There are 14 more sophomores than juniors in an algebra class. If there are 82 students in this class, find the number of sophomores and the number of juniors in the class.

Accepted Answer

A)  34 sophomores; 48 juniors 
B)  96 sophomores; 68 juniors 
C)  82 sophomores; 68 juniors 
D)  48 sophomores; 34 juniors 
A)  34 sophomores; 48 juniors 
B)  96 sophomores; 68 juniors 
C)  82 sophomores; 68 juniors 
D)  48 sophomores; 34 juniors

Question 16

Solve the equation.
-5 - 3(x + 2) = 6 - 4(x + 1)

Accepted Answer

A)  {9} 
B)  {5} 
C)  {13} 
D)  {3} 
A)  {9} 
B)  {5} 
C)  {13} 
D)  {3}

Question 17

Solve the problem.
-Due to a lack of funding, the number of students enrolled at City College went from 8000 last year to 3000 this year. Find the percent decrease in enrollment. (Round to the nearest tenth of a percent, if necessary.)

Accepted Answer

A)  37.5% 
B)  166.7% 
C)  62.5% 
D)  266.7% 
A)  37.5% 
B)  166.7% 
C)  62.5% 
D)  266.7%

Question 18

Use a formula for perimeter or area to solve the problem.
- 
Find the area of the trapezoid.

Accepted Answer

A)  $58 \mathrm {~cm} ^ { 2 }$ 
B)  $174 \mathrm {~cm} ^ { 2 }$ 
C)  $232 \mathrm {~cm} ^ { 2 }$ 
D)  $116 \mathrm {~cm} ^ { 2 }$ 
A)  $58 \mathrm {~cm} ^ { 2 }$ 
B)  $174 \mathrm {~cm} ^ { 2 }$ 
C)  $232 \mathrm {~cm} ^ { 2 }$ 
D)  $116 \mathrm {~cm} ^ { 2 }$

Question 19

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all
real numbers.
-$$\frac { 2 x } { 5 } - \frac { x } { 3 } + 2 = 2 + x$$

Accepted Answer

A)  $\{ 0 \}$ 
B)  $\{ 30 \}$ 
C)  $\varnothing$ 
D)  $\{ x \mid x$ is a real number $\}$ 
A)  $\{ 0 \}$ 
B)  $\{ 30 \}$ 
C)  $\varnothing$ 
D)  $\{ x \mid x$ is a real number $\}$

Question 20

Solve the equation.
-x + 15 = 8

Accepted Answer

A)  {23} 
B)  {7} 
C)  {-23} 
D)  {-7} 
A)  {23} 
B)  {7} 
C)  {-23} 
D)  {-7}

Solve the equation. - $0.88 x + 0.92 ( 10 - x ) = 9$

Solve the equation. - $\frac { f } { 3 } - 4 = 1$

The pie chart below shows the number of pizzas consumed by college students in a typical month. Use the chart to answer the question. -If State University has approximately 25,000 students, about how many would you expect to consume 5-6 pizzas in a typical month?

Solve the equation. --z = -5

Solve the equation. - $0.02 y + 0.14 ( 5000 - y ) = 0.13 y$

Solve the equation using the multiplication property of equality. - $\frac { 3 } { 4 } x = 21$

Solve the equation using both the addition and multiplication properties of equality. --4x = 66 + 7x

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all real numbers. - $6 ( x + 4 ) = 6 x + 24$

Solve the equation. - $5 x - 10 x - 2 x = - 12 - 30$

Solve the equation using both the addition and multiplication properties of equality. -8r + 10 = 34

Determine whether the equation in one variable is linear. - $| x + 2 | = 6$

Determine whether the equation in one variable is linear. - $2 x = 5 x ^ { 3 }$

Solve the equation. - $\frac { x + 8 } { 4 } + \frac { x - 2 } { 3 } = \frac { 23 } { 12 }$

Solve the equation. - $\frac { r } { 3 } + \frac { 6 } { 3 } = \frac { r } { 6 } + \frac { 8 } { 6 }$

Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. -There are 14 more sophomores than juniors in an algebra class. If there are 82 students in this class, find the number of sophomores and the number of juniors in the class.

Solve the equation. -5 - 3(x + 2) = 6 - 4(x + 1)

Solve the problem. -Due to a lack of funding, the number of students enrolled at City College went from 8000 last year to 3000 this year. Find the percent decrease in enrollment. (Round to the nearest tenth of a percent, if necessary.)

Use a formula for perimeter or area to solve the problem. - Find the area of the trapezoid.

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all real numbers. - $\frac { 2 x } { 5 } - \frac { x } { 3 } + 2 = 2 + x$

Solve the equation. -x + 15 = 8

Variables, Real Numbers, and Mathematical Models

Linear Equations in Two Variables

Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Basics of Functions

Inequalities and Problem Solving

Radicals, Radical Functions, and Rational Exponents

Filters

Exam 2: Linear Equations and Inequalities in One Variable

Solve the equation. - 0.88x+0.92(10−x)=90.88 x + 0.92 ( 10 - x ) = 90.88x+0.92(10−x)=9

Solve the equation. - f3−4=1\frac { f } { 3 } - 4 = 13f​−4=1