Question 1

Solve the equation.
--x = -14

Accepted Answer

A)  {0} 
B)  {-14} 
C)  {-1} 
D)  {14} 
A)  {0} 
B)  {-14} 
C)  {-1} 
D)  {14}

Question 2

Solve the problem.
-The formula C = 502x + 168 models the data for the cost to produce x units of a product, where C is given in dollars. How many units can be produced for a cost of $451,968?

Accepted Answer

A)  1800 units 
B)  450 units 
C)  675 units 
D)  900 units 
A)  1800 units 
B)  450 units 
C)  675 units 
D)  900 units

Question 3

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all
real numbers.
-$$\frac { 1 } { 3 } ( 6 x - 9 ) = 6 \left( \frac { 1 } { 3 } x - \frac { 1 } { 2 } \right) + 8$$

Accepted Answer

A)  $\{ 0 \}$ 
B)  $\{ x \mid x$ is a real number $\}$ 
C)  $\{ varnothing \}$ 
D)  $\{ 2 \}$ 
A)  $\{ 0 \}$ 
B)  $\{ x \mid x$ is a real number $\}$ 
C)  $\{ varnothing \}$ 
D)  $\{ 2 \}$

Question 4

Solve the equation.
-$$13 + 9 p = 10 p$$

Accepted Answer

A)  $\{ 13 \}$ 
B)  $\{ 9 \}$ 
C)  $\{ - 13 \}$ 
D)  $\{ - 6 \}$ 
A)  $\{ 13 \}$ 
B)  $\{ 9 \}$ 
C)  $\{ - 13 \}$ 
D)  $\{ - 6 \}$

Question 5

Solve the equation using the multiplication property of equality.
-$$\frac { 1 } { 9 } x = - 8$$

Accepted Answer

A)  $\{ - 1 \}$ 
B)  $\{ 1 \}$ 
C)  $\{ - 72 \}$ 
D)  $\{ 0 \}$ 
A)  $\{ - 1 \}$ 
B)  $\{ 1 \}$ 
C)  $\{ - 72 \}$ 
D)  $\{ 0 \}$

Question 6

Solve the equation using the multiplication property of equality.
-$$3 x + 19 x = 15$$

Accepted Answer

A)  $\left\{ \frac { 15 } { 22 } \right\}$ 
B)  $\{ 330 \}$ 
C)  $\left\{ \frac { 22 } { 15 } \right\}$ 
D)  $\{ - 7 \}$ 
A)  $\left\{ \frac { 15 } { 22 } \right\}$ 
B)  $\{ 330 \}$ 
C)  $\left\{ \frac { 22 } { 15 } \right\}$ 
D)  $\{ - 7 \}$

Question 7

Solve the equation using the multiplication property of equality.
-$$8 x = 48$$

Accepted Answer

A)  $\{ 384 \}$ 
B)  $\left\{ \frac { 1 } { 6 } \right\}$ 
C)  $\{ 40 \}$ 
D)  $\{ 6 \}$ 
A)  $\{ 384 \}$ 
B)  $\left\{ \frac { 1 } { 6 } \right\}$ 
C)  $\{ 40 \}$ 
D)  $\{ 6 \}$

Question 8

Solve.
-A rectangular carpet has a perimeter of 262 inches. The length of the carpet is 89 inches more than the width. What are the dimensions of the carpet?

Accepted Answer

A)  110 by 21 inches 
B)  76 by 97 inches 
C)  110 by 131 inches 
D)  120.5 by 131 inches 
A)  110 by 21 inches 
B)  76 by 97 inches 
C)  110 by 131 inches 
D)  120.5 by 131 inches

Question 9

Solve the equation.
-$$- 29 - ( 3 y - 1 ) = 2 ( y - 2 ) + 3 y$$

Accepted Answer

A)  $\{ - 12 \}$ 
B)  $\{ - 3 \}$ 
C)  $\left\{ - \frac { 1 } { 3 } \right\}$ 
D)  $\left\{ - \frac { 7 } { 2 } \right\}$ 
A)  $\{ - 12 \}$ 
B)  $\{ - 3 \}$ 
C)  $\left\{ - \frac { 1 } { 3 } \right\}$ 
D)  $\left\{ - \frac { 7 } { 2 } \right\}$

Question 10

Solve the equation.
-$- 6 b + 7 + 4 b = - 3 b + 12$

Accepted Answer

A)  $\{ - 12 \}$ 
B)  $\{ 12 \}$ 
C)  $\{ 5 \}$ 
D)  $\{ - 7 \}$ 
A)  $\{ - 12 \}$ 
B)  $\{ 12 \}$ 
C)  $\{ 5 \}$ 
D)  $\{ - 7 \}$

Question 11

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

Accepted Answer

A)  {-14} 
B)  {2} 
C)  {-2} 
D)  {14} 
A)  {-14} 
B)  {2} 
C)  {-2} 
D)  {14}

Question 12

Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number.
-An isosceles triangle contains two angles of the same measure. If the measure of the third angle is 42° less than the measure of either of the other two identical angles, find the measure of one of the identical angles. (Hint:
The sum of the angles of a triangle is 180°.)

Accepted Answer

A)  54° 
B)  74° 
C)  32° 
D)  111° 
A)  54° 
B)  74° 
C)  32° 
D)  111°

Question 13

Solve the equation using both the addition and multiplication properties of equality.
--2x - 25 = -57

Accepted Answer

A)  41 
B)  {-30} 
C)  {-16} 
D)  {16} 
A)  41 
B)  {-30} 
C)  {-16} 
D)  {16}

Question 14

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

Accepted Answer

A)  $18 \mathrm { in } ^ { 2 }$ 
B)  $13 \mathrm { in } ^ { 2 }$ 
C)  81 in. $^ { 2 }$ 
D)  36 in. $^ { 2 }$ 
A)  $18 \mathrm { in } ^ { 2 }$ 
B)  $13 \mathrm { in } ^ { 2 }$ 
C)  81 in. $^ { 2 }$ 
D)  36 in. $^ { 2 }$

Question 15

Solve the equation.
-$$\frac { 5 } { 6 } + \frac { 1 } { 7 } x = 1$$

Accepted Answer

A)  $\left\{ - \frac { 24 } { 7 } \right\}$ 
B)  $\left\{ - \frac { 14 } { 3 } \right\}$ 
C)  $\left\{ - \frac { 7 } { 6 } \right\}$ 
D)  $\left\{ \frac { 7 } { 6 } \right\}$ 
A)  $\left\{ - \frac { 24 } { 7 } \right\}$ 
B)  $\left\{ - \frac { 14 } { 3 } \right\}$ 
C)  $\left\{ - \frac { 7 } { 6 } \right\}$ 
D)  $\left\{ \frac { 7 } { 6 } \right\}$

Question 16

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all
real numbers.
-$$7 x + 6 ( x + 1 ) = 13 ( x + 1 ) - 7$$

Accepted Answer

A)  $\{ 0 \}$ 
B)  $\varnothing$ 
C)  $\{ x \mid x$ is a real number $\}$ 
D)  $\{ 1 \}$ 
A)  $\{ 0 \}$ 
B)  $\varnothing$ 
C)  $\{ x \mid x$ is a real number $\}$ 
D)  $\{ 1 \}$

Question 17

Solve the equation.
-$$\frac { 1 } { 4 } x - \frac { 3 } { 8 } x = 2$$

Accepted Answer

A)  $\{ - 16 \}$ 
B)  $\{ - 14 \}$ 
C)  $\{ 16 \}$ 
D)  $\{ 14 \}$ 
A)  $\{ - 16 \}$ 
B)  $\{ - 14 \}$ 
C)  $\{ 16 \}$ 
D)  $\{ 14 \}$

Question 18

Solve the equation.
--5a + 5 + 6a = 13 - 26

Accepted Answer

A)  {-44} 
B)  {18} 
C)  {44} 
D)  {-18} 
A)  {-44} 
B)  {18} 
C)  {44} 
D)  {-18}

Question 19

Solve the equation.
-x + 5 = -18

Accepted Answer

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

Question 20

The pie chart below shows the number of pizzas consumed by college students in a typical month. Use the chart to
answer the question.  
-What percent of college students consume 3 or more pizzas in a typical month?

Accepted Answer

A)  52% 
B)  57% 
C)  34% 
D)  98% 
A)  52% 
B)  57% 
C)  34% 
D)  98%

Solve the equation. --x = -14

Solve the problem. -The formula C = 502x + 168 models the data for the cost to produce x units of a product, where C is given in dollars. How many units can be produced for a cost of $451,968?

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all real numbers. - $\frac { 1 } { 3 } ( 6 x - 9 ) = 6 \left( \frac { 1 } { 3 } x - \frac { 1 } { 2 } \right) + 8$

Solve the equation. - $13 + 9 p = 10 p$

Solve the equation using the multiplication property of equality. - $\frac { 1 } { 9 } x = - 8$

Solve the equation using the multiplication property of equality. - $3 x + 19 x = 15$

Solve the equation using the multiplication property of equality. - $8 x = 48$

Solve. -A rectangular carpet has a perimeter of 262 inches. The length of the carpet is 89 inches more than the width. What are the dimensions of the carpet?

Solve the equation. - $- 29 - ( 3 y - 1 ) = 2 ( y - 2 ) + 3 y$

Solve the equation. - $- 6 b + 7 + 4 b = - 3 b + 12$

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

Solve the equation using both the addition and multiplication properties of equality. --2x - 25 = -57

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

Solve the equation. - $\frac { 5 } { 6 } + \frac { 1 } { 7 } x = 1$

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all real numbers. - $7 x + 6 ( x + 1 ) = 13 ( x + 1 ) - 7$

Solve the equation. - $\frac { 1 } { 4 } x - \frac { 3 } { 8 } x = 2$

Solve the equation. --5a + 5 + 6a = 13 - 26

Solve the equation. -x + 5 = -18

The pie chart below shows the number of pizzas consumed by college students in a typical month. Use the chart to answer the question. -What percent of college students consume 3 or more pizzas in a typical month?

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