Master Linear Equations: Enhance Your Math Skills

Question 1

Solve the equation: 2x + 5 = 13

Accepted Answer

x = 6

Answer

x = 4

Answer

x = 8

Answer

x = 10

Question 2

Solve the equation: 3(y - 2) = 12

Accepted Answer

y = 8

Answer

y = 2

Answer

y = 6

Answer

y = 10

Question 3

Which of the following is equivalent to the equation 5x + 2 = 17?

Accepted Answer

5x = 19

Answer

5x = 15

Answer

x + 2 = 17

Answer

x - 2 = 17

Question 4

Solve the equation: |2x - 5| = 7

Accepted Answer

x = 1 or x = 6

Answer

x = -1 or x = 6

Answer

x = -1 or x = -6

Answer

x = 1 or x = -6

Question 5

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

Accepted Answer

y = 2

Answer

y = x + 2

Answer

y = -2x + 3

Answer

y = |x - 1|

Question 6

Solve the equation: x^2 - 9 = 0

Accepted Answer

x = -3 or x = 3

Answer

x = -9 or x = 9

Answer

x = 3 or x = -9

Answer

x = 9 or x = -9

Question 7

Given that x = 3, find the value of y: y = 2x + 1

Accepted Answer

y = 7

Answer

y = 5

Answer

y = 9

Answer

y = 11

Question 8

Select the step NOT used to solve the equation: (x + 2)/(x - 1) = 3

Accepted Answer

Set the numerator and denominator of the left side equal to 0.

Answer

Cross-multiply to eliminate fractions.

Answer

Expand the left side of the equation.

Answer

Solve for x.

Question 9

Solve the equation: 2x - 10 = 0

Accepted Answer

x = 5

Answer

x = 0

Answer

x = 10

Answer

x = 15

Question 10

Find the value of x that satisfies the equation: 0.5x + 2 = 5

Accepted Answer

x = 4

Answer

x = 2

Answer

x = 6

Answer

x = 8

Question 11

Which of the following is not a valid method for solving linear equations?

Accepted Answer

Division property of inequality

Answer

Addition property of equality

Answer

Multiplication property of equality

Answer

Substitution property of equality

Question 12

Which of the following equations has a solution of x = 2?

Accepted Answer

2x - 1 = 3

Answer

x + 3 = 5

Answer

3x - 2 = 4

Answer

4x + 1 = 9

Question 13

Solve the equation: |x - 2| = 5

Accepted Answer

x = 3 or x = 7

Answer

x = -3 or x = 7

Answer

x = -5 or x = 5

Answer

x = -2 or x = 2

Question 14

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

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 15

Which property of equality is used in the equation: 3(x - 2) = 3x - 6?

Accepted Answer

Distributive Property

Answer

Associative Property of Addition

Answer

Commutative Property of Multiplication

Answer

Additive Inverse Property

Question 16

Solve the equation: (y - 1.5)/2 = 3

Accepted Answer

y = 7.5

Answer

y = 6

Answer

y = 4.5

Answer

y = 3

Question 17

Which equation is equivalent to 2x + 5 = 9?

Accepted Answer

x + 2.5 = 4.5

Answer

x = 2

Answer

x = 7

Answer

x - 5 = 2

Question 18

Which of the following is NOT a solution to the equation 2x - 7 = 13?

Accepted Answer

x = 20

Answer

x = 5

Answer

x = 10

Answer

x = 3

Question 19

Which of the following equations has an infinite number of solutions?

Accepted Answer

x + 5 = x

Answer

2x + 3 = 7

Answer

x - 3 = 5

Answer

3x + 2 = 6

Question 20

Solve the linear equation: 2x + 5 = 15.

Accepted Answer

x = 10

Answer

x = 5

Answer

x = 15

Answer

x = 20

Question 21

Find the value of x that satisfies the equation: 3(x - 2) = 12.

Accepted Answer

x = 6

Answer

x = 2

Answer

x = 4

Answer

x = 8

Question 22

What is the first step in solving the equation: 2/3x + 1 = 5?

Accepted Answer

Multiply both sides by 3

Answer

Subtract 1 from both sides

Answer

Add 1 to both sides

Answer

Divide both sides by 2/3

Question 23

Which graph represents the equation: y = -2x + 3?

Accepted Answer

A line with a negative slope passing through (0, 3)

Answer

A line with a positive slope passing through (0, 3)

Answer

A line with a positive slope passing through (3, 0)

Answer

A line with a negative slope passing through (3, 0)

Question 24

Identify the graph of the following linear equation: y = 2x - 1.

Accepted Answer

Image of a line with a slope of 2 and a y-intercept of -1

Answer

Image of a line with a slope of -2 and a y-intercept of 1

Answer

Image of a line with a slope of 1 and a y-intercept of -2

Question 25

Write the equation of the line with a slope of 2 and a y-intercept of -3.

Accepted Answer

y = 2x - 3

Answer

y = 3x - 2

Answer

y = -3x + 2

Answer

y = -2x + 3

Question 26

Find the value of y in the equation: y^2 - 9 = 0. The equation can be factored as (y - 3)(y + 3) = 0. Solve for y by setting each factor equal to 0.

Accepted Answer

y = 3 or y = -3

Answer

y = 4 or y = -4

Answer

y = 2 or y = -2

Answer

y = 6 or y = -6

Question 27

Solve the equation: 2x + 5 = 13

Accepted Answer

4

Answer

2

Answer

6

Answer

8

Question 28

The sum of two consecutive integers is 25. What is the smaller integer?

Accepted Answer

12

Answer

11

Answer

13

Answer

14

Question 29

Which of the following graphs represents the equation y = 2x + 1?

Accepted Answer

/path/to/graph.png

Answer

/path/to/incorrectGraph3.png

Answer

/path/to/incorrectGraph2.png

Answer

/path/to/incorrectGraph1.png

Question 30

Solve for x: 2x + 5 = 13

Accepted Answer

4

Answer

8

Answer

6

Answer

2

Question 31

Solve for y: 3y - 7 = 16

Accepted Answer

7.67

Answer

5.67

Answer

11.67

Answer

9.67

Question 32

Solve for z: 5z / 3 = 10

Accepted Answer

6

Answer

8

Answer

12

Answer

4

Question 33

Find the value of x that makes the equation true: 2(x - 3) + 5 = 15

Accepted Answer

7

Answer

11

Answer

5

Answer

9

Question 34

Solve for y: 3x + 2y = 8

Accepted Answer

Cannot be determined

Answer

8

Answer

6

Answer

4

Question 35

Which of the following is the equation of a line passing through the points (2, 5) and (4, 9)?

Accepted Answer

y = 2x + 1

Answer

y = 4x + 1

Answer

y = 3x + 1

Answer

y = x + 3

Question 36

Graph the line represented by the equation: y = -2x + 3

Accepted Answer

[Graph of line y = -2x + 3]

Answer

[Graph of line y = -2x - 3]

Answer

[Graph of line y = 2x - 3]

Answer

[Graph of line y = 2x + 3]

Question 37

Find the slope of the line passing through the points (-1, 2) and (3, 8).

Accepted Answer

3

Answer

1

Answer

2

Question 38

Which of the following equations represents a horizontal line?

Accepted Answer

y = 5

Answer

y = 2x + 3

Answer

y = -x + 1

Answer

y = 3x - 2

Question 39

Which of the following equations represents a vertical line?

Accepted Answer

x = -2

Answer

y = 5

Answer

y = 2x + 3