Master Linear Equations: Practice Quizzes for 8th Grade Math

Question 1

Solve for x: 2x + 1 = 9

Accepted Answer

x = 4

Answer

x = 2

Answer

x = 6

Answer

x = 8

Question 2

What is the y-intercept of the line that has a slope of -2 and passes through the point (3, 1)?

Accepted Answer

-7

Answer

-5

Answer

-9

Answer

-11

Question 3

What is the slope-intercept form of the equation y = 3x - 2?

Accepted Answer

y = 3x - 2

Answer

y = -2x + 3

Answer

y = 2x - 3

Answer

y = -3x + 2

Question 4

Which of the following is NOT a property of linear equations?

Accepted Answer

They always have two solutions.

Answer

They have a constant slope.

Answer

They can be graphed as a straight line.

Question 5

Which of the following is the equation of the line passing through points (2, 3) and (5, 7)?

Accepted Answer

y = 2x + 1

Answer

y = x + 1

Answer

y = x/2 + 2

Answer

y = 2x - 1

Question 6

Which of the following graphs represents the inequality y > 2x + 1?

Accepted Answer

A line with a slope of 2 and a y-intercept of 1, shaded above the line.

Answer

A line with a slope of 2 and a y-intercept of 1, shaded below the line.

Answer

A line with a slope of -1/2 and a y-intercept of 2, shaded above the line.

Answer

A line with a slope of -1/2 and a y-intercept of 2, shaded below the line.

Question 7

Solve for y in the equation: 3(y - 2) = 9

Accepted Answer

y = 5

Answer

y = 1

Answer

y = 3

Answer

y = 7

Question 8

Which of the following is a true statement about the solution to the equation 2x + 5 = 11?

Accepted Answer

There is one solution: x = 3.

Answer

There are multiple solutions.

Answer

There are no solutions.

Answer

The solution is a fraction.

Question 9

What is the slope of a line perpendicular to the line y = 3x + 2?

Accepted Answer

-1/3

Answer

1/3

Answer

3

Answer

-3

Question 10

Which expression is equivalent to 2x + 5?

Accepted Answer

2(x + 2.5)

Answer

5(x + 1)

Answer

(x + 2)(x + 2.5)

Answer

x(2 + 5)

Question 11

What is the slope of the line represented by the equation y = -2x + 3?

Accepted Answer

-2

Answer

2

Answer

3

Answer

-3

Question 12

Solve the system of equations:
x + y = 7
x - y = 1

Accepted Answer

x = 4, y = 3

Answer

x = 3, y = 4

Answer

x = 2, y = 5

Answer

x = 5, y = 2

Question 13

Which equation represents a vertical line?

Accepted Answer

x = 2

Answer

y = 2x

Answer

y = 2 + x

Answer

y = x^2

Question 14

Select the graph of the inequality y ≥ 2x - 1.

Accepted Answer

[Image of a graph with the region above the line y = 2x - 1 shaded]

Answer

[Image of a graph with the region below the line y = 2x - 1 shaded]

Answer

[Image of a graph with the entire plane shaded]

Answer

[Image of a graph with no shading]

Question 15

Which of the following is an equation of a straight line?

Accepted Answer

x + 2y = 5

Answer

x^2 + 3y = 7

Answer

xy = 6

Answer

sin(x) + y = 3

Question 16

Find the value of x in the equation: 2x - 5 = 11

Accepted Answer

x = 8

Answer

x = 3

Answer

x = 16

Answer

x = 24

Question 17

What is the slope of the line given by the equation y = -2x + 4?

Accepted Answer

-2

Answer

-1

Answer

2

Answer

4

Question 18

Which of the following graphs represents the equation y = 2x - 5?

Accepted Answer

A straight line with a positive slope

Answer

A straight line with a negative slope

Answer

A parabola

Answer

A circle

Question 19

What is the value of y when x = 3 in the equation y = 4x - 7?

Accepted Answer

11

Answer

-1

Answer

5

Answer

15

Question 20

Which of the following equations represents a linear equation?

Accepted Answer

y = 2x + 3

Answer

y = x^2 + 1

Answer

y = 1/x

Answer

y = |x|

Question 21

Which of the following equations represents a horizontal line?

Accepted Answer

y = 2

Answer

y = x + 1

Answer

y = 2x

Answer

y = x^2

Question 22

In the equation y = mx + b, what does 'm' represent?

Accepted Answer

Slope

Answer

Y-intercept

Answer

X-intercept

Answer

Equation number

Question 23

What is the equation of the line with a slope of -1/2 and a y-intercept of 2?

Accepted Answer

y = -1/2x + 2

Answer

y = 1/2x + 2

Answer

y = -2x + 1

Answer

y = 2x + 1

Question 24

Solve for y: 3(y - 2) - 5 = 10

Accepted Answer

y = 7

Answer

y = 3

Answer

y = 5

Answer

y = 9

Question 25

What is the slope of the line y = 2x - 5?

Accepted Answer

2

Answer

-2

Answer

5

Answer

-5

Question 26

What is the y-intercept of the line y = 2x + 3?

Accepted Answer

3

Answer

-3

Answer

2

Answer

-2

Question 27

Which graph represents the linear equation y = -x + 3?

Accepted Answer

A straight line with a negative slope

Answer

A straight line with a positive slope

Answer

A parabola

Answer

A circle

Question 28

Which of the following is an equation of the line with a y-intercept of -2 and a slope of 1?

Accepted Answer

y = x - 2

Answer

y = 2x - 1

Answer

x = y - 2

Answer

x = 2y + 1

Question 29

Find the solution to the inequality x - 7 < 5

Accepted Answer

x < 12

Answer

x > 12

Answer

x < -2

Answer

x > -2

Question 30

Which of the following is NOT a real-world application of linear equations?

Accepted Answer

Predicting the weather

Answer

Calculating the cost of groceries

Answer

Determining the distance traveled

Answer

Finding the area of a rectangle

Question 31

Which of the following equations is a linear equation with a variable (x) ?

Accepted Answer

x + 2y = 5

Answer

y = x^2 + 1

Answer

x^3 - y = 0

Answer

y = |x| + 1

Question 32

Which of the following equations represents a horizontal line parallel to the (x)-axis?

Accepted Answer

y = 2

Answer

y = x + 3

Answer

y = x^2

Answer

y = 1/x

Question 33

What is the slope of the line that passes through the points ((2, 3)) and ((5, 7)) ?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 34

Solve the system of equations: (
ewline x + y = 5 
ewline x - y = 1 )

Accepted Answer

x = 3, y = 2

Answer

x = 2, y = 3

Answer

x = 4, y = 1

Answer

x = 1, y = 4

Question 35

What is the equation of the line that has a slope of -2 and passes through the point ((1, -3)) ?

Accepted Answer

y = -2x - 1

Answer

y = -2x + 1

Answer

y = 2x - 1

Answer

y = 2x + 1

Question 36

The area of a rectangle is 24 square units. If its length is 6 units, what is its width?

Accepted Answer

4 units

Answer

2 units

Answer

6 units

Answer

8 units

Question 37

Which of the following graphs represents the inequality  (y > 2x - 1) ?

Accepted Answer

A graph with a solid line at y = 2x - 1 and the shaded area above it.

Answer

A graph with a dashed line at y = 2x - 1 and the shaded area below it.

Answer

A graph with a solid line at y = 2x + 1 and the shaded area above it.

Answer

A graph with a dashed line at y = 2x + 1 and the shaded area below it.

Question 38

The sum of two numbers is 20. If one number is (x), what is the other number?

Accepted Answer

20 - x

Answer

x - 20

Answer

x + 20

Answer

x / 20

Question 39

Which of the following is a system of linear equations that does not have a solution?

Accepted Answer

x + y = 2, x + y = 3

Answer

x - y = 1, x + y = 1

Answer

2x + y = 6, x - y = 2

Answer

3x + y = 9, 2x + y = 6

Question 40

Which type of equation has only one operation, such as addition or subtraction?

Accepted Answer

One-step equation

Answer

Two-step equation

Answer

Multi-step equation

Answer

Linear equation

Question 41

Solve for x: 3x - 5 = 10

Accepted Answer

x = 7

Answer

x = 1

Answer

x = 3

Answer

x = 5

Question 42

Which graph represents the equation y = 2x - 1?

Accepted Answer

A line with a positive slope and y-intercept at -1

Answer

A line with a negative slope and y-intercept at 1

Answer

A horizontal line at y = -1

Answer

A vertical line at x = 1

Question 43

What is the solution to the equation x + 5 = 7?

Accepted Answer

x = 2

Answer

x = 5

Answer

x = 12

Answer

x = 0

Question 44

Which of the following is a linear function?

Accepted Answer

y = 2x + 1

Answer

y = x^2

Answer

y = |x|

Answer

y = sin(x)

Question 45

A farmer has 200 feet of fencing to enclose a rectangular plot of land. If the length of the plot is 50 feet, what is its width?

Accepted Answer

25 feet

Answer

50 feet

Answer

75 feet

Answer

100 feet

Question 46

What is the slope of the line represented by the equation: y = -3x + 2?

Accepted Answer

-3

Answer

2

Answer

3

Answer

1/3

Question 47

Identify the y-intercept of the line represented by the equation: 2x + 5y = 10

Accepted Answer

2

Answer

-2

Answer

-10

Answer

10

Question 48

Which of the following is an inequality?

Accepted Answer

An equation with a variable greater than or less than a constant

Answer

An equation with a variable equal to a constant

Answer

An equation with variables on both sides of the equal sign

Answer

An equation with a variable raised to a power

Question 49

Which graph represents the inequality: y < 2x + 1?

Accepted Answer

// Graph of a shaded region below the line y = 2x + 1

Answer

// Graph of a shaded region above the line y = 2x + 1

Answer

// Graph of a shaded region to the left of the line y = 2x + 1

Answer

// Graph of a shaded region to the right of the line y = 2x + 1

Question 50

Solve the inequality: 3x - 2 > 10

Accepted Answer

x > 4

Answer

x < 4

Answer

x > -4

Answer

x < -4