Master Linear Equations: Conquer Algebra I with Interactive Quizzes

Question 1

Find the equation of the line perpendicular to x = 3 and passing through the point (5, 2).

Accepted Answer

y = -x + 1

Answer

y = x - 1

Answer

y = x + 1

Answer

y = -x - 1

Question 2

Which of the following is the graph of the inequality y > x + 2?

Accepted Answer

A shaded region above a line with slope 1 and y-intercept -2

Answer

A line with slope 1 and y-intercept -2

Answer

A line with slope -1 and y-intercept 2

Answer

A shaded region below a line with slope -1 and y-intercept 2

Question 3

Solve for y in the linear equation: 2(x + y) - 3y = 10.

Accepted Answer

y = 2x - 10/3

Answer

y = 2x + 10/3

Answer

y = x - 10/3

Answer

y = x + 10/3

Question 4

Determine the solution to the system of equations: x + y = 5 and x - y = 1:

Accepted Answer

(2, 3)

Answer

(3, 2)

Answer

(4, 1)

Answer

(1, 4)

Question 5

Identify an example of a linear function:

Accepted Answer

f(x) = 3x - 1

Answer

f(x) = x^2 + 2

Answer

f(x) = sin(x)

Answer

f(x) = e^x

Question 6

Solve for y in the equation 3(y - 2) = 6:

Accepted Answer

y = 4

Answer

y = 0

Answer

y = 2

Answer

y = 6

Question 7

Identify the y-intercept of the linear equation: 3x - 2y = 6

Accepted Answer

(0, 3)

Answer

(0, -3)

Answer

(3, 0)

Question 8

Which of the following is not a solution to the system of equations: x + y = 5 and x - y = 1?

Accepted Answer

(-1, 6)

Answer

(1, 4)

Answer

(2, 3)

Question 9

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

Accepted Answer

y = 0

Answer

y = 2x

Answer

y = x + 1

Question 10

Which of the following equations represents a line perpendicular to the y-axis?

Accepted Answer

x = 5

Answer

y = -x + 2

Answer

y = 2x + 1

Question 11

Calculate the distance between the points (3, 4) and (5, 2):

Accepted Answer

4

Answer

2

Answer

6

Question 12

Which graph shows the solution region for the inequality x - 2y < 6?

Accepted Answer

A line with a slope of 1/2 and a y-intercept of -3, shaded below the line

Answer

A line with a slope of -1/2 and a y-intercept of 3, shaded below the line

Answer

A line with a slope of 1/2 and a y-intercept of -3, shaded above the line

Question 13

Which equation is an example of a linear equation?

Accepted Answer

y = 2x + 1

Answer

y = x^2 - 1

Answer

y = e^x

Answer

y = sin(x) + cos(x)

Question 14

Write the equation of the line with a slope of -2 and a y-intercept of 5

Accepted Answer

y = -2x + 5

Answer

y = 2x + 5

Answer

y = -2x - 5

Answer

y = 2x - 5

Question 15

Which of the following is the standard form of a linear equation?

Accepted Answer

Ax + By = C

Answer

y = mx + b

Answer

x - y = 5

Answer

2x^2 + 3y = 7

Question 16

Solve for x in the equation: 2x + 5 = 13

Accepted Answer

x = 4

Answer

x = 2

Answer

x = 6

Answer

x = 8

Question 17

Solve the system of equations: x + y = 4, x - y = 2

Accepted Answer

x = 3, y = 1

Answer

x = 1, y = 3

Answer

x = 2, y = 2

Answer

x = 0, y = 4

Question 18

Which of the following is a solution to the inequality x - 3 > 2?

Accepted Answer

x = 5

Answer

x = 1

Answer

x = -1

Answer

x = -5

Question 19

Which of the following is the equation of a line parallel to y = 2x - 3?

Accepted Answer

y = 2x + 3

Answer

y = 2x + 5

Answer

y = -2x + 3

Answer

y = -2x - 3

Question 20

Which of the following is NOT a linear equation?

Accepted Answer

x^2 + 2y = 10

Answer

2x + 3y = 7

Answer

y = 5

Answer

-x + 4 = 0

Question 21

What is the slope of the line represented by the equation y = -2x + 5?

Accepted Answer

-2

Answer

2

Answer

5

Answer

-5

Question 22

Which equation represents a line parallel to y = 2x + 1?

Accepted Answer

y = 2x + 3

Answer

y = 2x - 3

Answer

y = -2x + 5

Answer

y = -2x - 1

Question 23

What is the domain of the linear equation 2x - 3y = 6?

Accepted Answer

All real numbers

Answer

Positive integers

Answer

Negative integers

Answer

Even integers

Question 24

Solve for x: 2x - 5 = 15.

Accepted Answer

x = 10

Answer

x = 5

Answer

x = 15

Answer

x = 20

Question 25

What is the slope of the line passing through the points (2, 3) and (4, 7)?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 26

Which of the following is a linear equation in two variables?

Accepted Answer

y = 2x + 1

Answer

y = x^2

Answer

y = 1/x

Answer

y = sin(x)

Question 27

What is the y-intercept of the line represented by the equation y = -3x + 2? The y-intercept is the value of y when x is 0.

Accepted Answer

2

Answer

-1

Answer

1

Answer

3

Question 28

Which of the following systems of equations represents a pair of parallel lines? Parallel lines have the same slope.

Accepted Answer

y = 2x + 3
y = 2x - 1

Answer

y = 3x + 2
y = -x + 5

Answer

y = x + 1
y = 2x + 2

Answer

y = -2x + 1
y = 3x - 5

Question 29

What is the domain of the function f(x) = 2x - 5? The domain is the set of all possible input values of a function.

Accepted Answer

All real numbers

Answer

x > 0

Answer

x < 0

Answer

x != 0

Question 30

Solve for x: 2(x - 3) = 10

Accepted Answer

x = 8

Answer

x = 5

Answer

x = 10

Question 31

Determine the slope of the line represented by the equation y - 2 = -3(x + 1).

Accepted Answer

-3

Answer

-2

Answer

2

Question 32

Determine if this statement is true or false: All vertical lines have an undefined slope.

Accepted Answer

True

Answer

Not enough information

Answer

Depends on the equation

Answer

False

Question 33

Which of the following equations represents a line with a slope of 3 and a y-intercept of 2?

Accepted Answer

y = 3x + 2

Answer

y = -2x + 3

Answer

y = -3x + 2

Answer

y = 2x + 3

Question 34

Which of the following is the graph of the equation y = -x + 2?

Accepted Answer

Image of a line with a negative slope

Answer

Image of a circle

Answer

Image of a parabola

Answer

Image of a line with a positive slope

Question 35

Which equation represents a linear equation?

Accepted Answer

y = 2x + 3

Answer

y = x^2 - 1

Answer

y = sin(x)

Answer

y = |x| + 5

Question 36

Solve for x in the equation: 3x - 5 = 10

Accepted Answer

5

Answer

-5

Answer

10

Answer

15

Question 37

Which inequality represents the shaded region below the line y = x + 2?

Accepted Answer

y < x + 2

Answer

y ≥ x + 2

Answer

y > x + 2

Answer

y ≤ x + 2

Question 38

Solve the inequality: 2x - 5 > 11

Accepted Answer

x > 8

Answer

x < 8

Answer

x > -8

Answer

x < -8

Question 39

Which of the following is NOT an example of a linear equation?

Accepted Answer

x^2 + 2x - 1 = 0

Answer

4 = 2x - 6

Answer

2x + 5 = 11

Answer

y - 3x = 7

Question 40

Find the slope of the line passing through the points (2, 5) and (-1, 2)

Accepted Answer

-1

Answer

-2

Answer

2

Answer

1

Question 41

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

Accepted Answer

y = 3x - 2

Answer

y = -3x + 2

Answer

y = 3x + 2

Answer

y = -3x - 2

Question 42

Which equation represents a 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 43

What is the domain and range of the function f(x) = -2x + 3?

Accepted Answer

Domain: all real numbers, Range: all real numbers

Answer

Domain: all integers, Range: all integers

Answer

Domain: all positive numbers, Range: all negative numbers

Answer

Domain: all negative numbers, Range: all positive numbers