Question 1

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

Accepted Answer

A)  $\left\{ \frac { 1 } { 4 } \right\}$ 
B)  $\left\{ - \frac { 23 } { 8 } \right\}$ 
C)  $\left\{ \frac { 3 } { 2 } \right\}$ 
D)  $\left\{ - \frac { 21 } { 8 } \right\}$ 
A)  $\left\{ \frac { 1 } { 4 } \right\}$ 
B)  $\left\{ - \frac { 23 } { 8 } \right\}$ 
C)  $\left\{ \frac { 3 } { 2 } \right\}$ 
D)  $\left\{ - \frac { 21 } { 8 } \right\}$ D

Question 2

Solve the equation.
-2(4t - 6) - 6 = 22

Accepted Answer

A)  {5} 
B)  {6} 
C)  {4} 
D)  {7} 
A)  {5} 
B)  {6} 
C)  {4} 
D)  {7} A

Question 3

Solve the equation.
-1.2x - 3.3 = 0.7x + 1.15

Accepted Answer

A)  {8.89} 
B)  {-0.112} 
C)  {8.811} 
D)  {8.9} 
A)  {8.89} 
B)  {-0.112} 
C)  {8.811} 
D)  {8.9} D

Question 4

Determine whether the equation in one variable is linear.
-$$\frac { 6 } { x } = 10$$

Accepted Answer

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

Question 5

Solve the equation.
-1.1x + 37.6 = 5.8x

Accepted Answer

A)  {6.5} 
B)  {8} 
C)  {-42} 
D)  {6.7} 
A)  {6.5} 
B)  {8} 
C)  {-42} 
D)  {6.7}

Question 6

Solve the problem.
-The speed of a ball dropped from a tower is given by the formula f = 32t where f is in feet per second and t is the number of seconds since the ball was dropped. Find the speed of the ball after 10 seconds.

Accepted Answer

A)  310 ft/sec 
B)  32 ft/sec 
C)  320 ft/sec 
D)  10 ft/sec 
A)  310 ft/sec 
B)  32 ft/sec 
C)  320 ft/sec 
D)  10 ft/sec

Question 7

Solve.
-The length of a rectangular room is 8 feet longer than twice the width. If the room's perimeter is 184 feet, what are the room's dimensions?

Accepted Answer

A)  Width = 42 ft; length = 50 ft 
B)  Width = 56 ft; length = 128 ft 
C)  Width = 33 ft; length = 74 ft 
D)  Width = 28 ft; length = 64 ft 
A)  Width = 42 ft; length = 50 ft 
B)  Width = 56 ft; length = 128 ft 
C)  Width = 33 ft; length = 74 ft 
D)  Width = 28 ft; length = 64 ft

Question 8

Use the given information to write an equation. Let x represent the number described in the exercise. Then solve the
equation and find the number.
-The product of three-fourths and a number is six.

Accepted Answer

A)  $\frac { 3 } { 4 } x = 6 ; 8$ 
B)  $\frac { 3 } { 4 } = 6 x ; \frac { 1 } { 8 }$ 
C)  $\frac { 3 } { 4 } - x = 6 ; \frac { - 21 } { 4 }$ 
D)  $\frac { 3 } { 4 } + x = 6 ; \frac { 21 } { 4 }$ 
A)  $\frac { 3 } { 4 } x = 6 ; 8$ 
B)  $\frac { 3 } { 4 } = 6 x ; \frac { 1 } { 8 }$ 
C)  $\frac { 3 } { 4 } - x = 6 ; \frac { - 21 } { 4 }$ 
D)  $\frac { 3 } { 4 } + x = 6 ; \frac { 21 } { 4 }$

Question 9

Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number.
-Four times a number added to 7 times the number equals 55. Find the number.

Accepted Answer

A)  $4 x - 7 x = 55 ; - 7.9$ 
B)  $4 ( x + 7 ) = 55 x ; 0.5$ 
C)  $4 x ( 7 + x ) = 55 ; 7.9$ 
D)  $4 x + 7 x = 55 ; 5$ 
A)  $4 x - 7 x = 55 ; - 7.9$ 
B)  $4 ( x + 7 ) = 55 x ; 0.5$ 
C)  $4 x ( 7 + x ) = 55 ; 7.9$ 
D)  $4 x + 7 x = 55 ; 5$

Question 10

Solve the equation.
-$$4 ( y + 7 ) = 5 ( y - 4 )$$

Accepted Answer

A)  $\{ - 48 \}$ 
B)  $\{ 48 \}$ 
C)  $\{ - 8 \}$ 
D)  $\{ 8 \}$ 
A)  $\{ - 48 \}$ 
B)  $\{ 48 \}$ 
C)  $\{ - 8 \}$ 
D)  $\{ 8 \}$

Question 11

Let x represent the number. Write the English phrase as an algebraic expression.
-The product of -29 and the sum of a number and 17.

Accepted Answer

A)  -493x 
B)  -29(x + 17) 
C)  -29 + 17x 
D)  -29x + 17 
A)  -493x 
B)  -29(x + 17) 
C)  -29 + 17x 
D)  -29x + 17

Question 12

Solve the equation using the multiplication property of equality.
-$$\frac { n } { 4 } = 5$$

Accepted Answer

A)  $\{ 9 \}$ 
B)  $\{ 1 \}$ 
C)  $\{ 8 \}$ 
D)  $\{ 20 \}$ 
A)  $\{ 9 \}$ 
B)  $\{ 1 \}$ 
C)  $\{ 8 \}$ 
D)  $\{ 20 \}$

Question 13

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all
real numbers.
-$$3 ( 4 x + 2 ) + 46 = 5 x - 4$$

Accepted Answer

A)  $\{ x \mid x$ is a real number $\}$ 
B)  $\{ 8 \}$ 
C)  $\{ - 8 \}$ 
D)  $\varnothing$ 
A)  $\{ x \mid x$ is a real number $\}$ 
B)  $\{ 8 \}$ 
C)  $\{ - 8 \}$ 
D)  $\varnothing$

Question 14

Determine whether the equation in one variable is linear.
-$$72.9 x = 8.4$$

Accepted Answer

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

Question 15

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 1-2 pizzas in a typical month?

Accepted Answer

A)  18% 
B)  34% 
C)  2% 
D)  41% 
A)  18% 
B)  34% 
C)  2% 
D)  41%

Question 16

Solve the equation.
-11 = b - 19

Accepted Answer

A)  {30} 
B)  {-8} 
C)  {8} 
D)  {-30} 
A)  {30} 
B)  {-8} 
C)  {8} 
D)  {-30}

Question 17

Let x represent the number. Write the English phrase as an algebraic expression.
-Twice the sum of a number and -16.

Accepted Answer

A)  2x - (-16) 
B)  2(x + (-16)) 
C)  2x + (-16) 
D)  2+ x + (-16) 
A)  2x - (-16) 
B)  2(x + (-16)) 
C)  2x + (-16) 
D)  2+ x + (-16)

Question 18

Solve the equation using both the addition and multiplication properties of equality.
--10y + 21 = -3y

Accepted Answer

A)  $\left\{ - \frac { 21 } { 13 } \right\}$ 
B)  $\{ - 3 \}$ 
C)  $\left\{ \frac { 21 } { 13 } \right\}$ 
D)  $\{ 3 \}$ 
A)  $\left\{ - \frac { 21 } { 13 } \right\}$ 
B)  $\{ - 3 \}$ 
C)  $\left\{ \frac { 21 } { 13 } \right\}$ 
D)  $\{ 3 \}$

Question 19

Solve the equation.
--1 + s = 15

Accepted Answer

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

Question 20

Solve the equation using the multiplication property of equality.
-$$\frac { \mathrm { v } } { - 4 } = 4$$

Accepted Answer

A)  $\{ - 8 \}$ 
B)  $\{ - 16 \}$ 
C)  $\{ 8 \}$ 
D)  $\{ 16 \}$ 
A)  $\{ - 8 \}$ 
B)  $\{ - 16 \}$ 
C)  $\{ 8 \}$ 
D)  $\{ 16 \}$

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

Solve the equation. -2(4t - 6) - 6 = 22

Solve the equation. -1.2x - 3.3 = 0.7x + 1.15

Determine whether the equation in one variable is linear. - $\frac { 6 } { x } = 10$

Solve the equation. -1.1x + 37.6 = 5.8x

Solve the problem. -The speed of a ball dropped from a tower is given by the formula f = 32t where f is in feet per second and t is the number of seconds since the ball was dropped. Find the speed of the ball after 10 seconds.

Solve. -The length of a rectangular room is 8 feet longer than twice the width. If the room's perimeter is 184 feet, what are the room's dimensions?

Use the given information to write an equation. Let x represent the number described in the exercise. Then solve the equation and find the number. -The product of three-fourths and a number is six.

Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. -Four times a number added to 7 times the number equals 55. Find the number.

Solve the equation. - $4 ( y + 7 ) = 5 ( y - 4 )$

Let x represent the number. Write the English phrase as an algebraic expression. -The product of -29 and the sum of a number and 17.

Solve the equation using the multiplication property of equality. - $\frac { n } { 4 } = 5$

Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all real numbers. - $3 ( 4 x + 2 ) + 46 = 5 x - 4$

Determine whether the equation in one variable is linear. - $72.9 x = 8.4$

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 1-2 pizzas in a typical month?

Solve the equation. -11 = b - 19

Let x represent the number. Write the English phrase as an algebraic expression. -Twice the sum of a number and -16.

Solve the equation using both the addition and multiplication properties of equality. --10y + 21 = -3y

Solve the equation. --1 + s = 15

Solve the equation using the multiplication property of equality. - $\frac { \mathrm { v } } { - 4 } = 4$

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. - 2x3+2=14\frac { 2 x } { 3 } + 2 = \frac { 1 } { 4 }32x​+2=41​