Algebra Learning Quizzes: Master the Basics of Variables, Equations, and Functions

Question 1

Solve for x: 2x + 5 = 11

Accepted Answer

x = 3

Answer

x = 2

Answer

x = 8

Question 2

Simplify the expression: 3(2x - 4) + 5x

Accepted Answer

11x - 12

Answer

6x - 12

Answer

11x + 12

Answer

5x - 12

Question 3

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

Accepted Answer

2

Answer

-2

Answer

3

Question 4

If f(x) = x² - 3x + 2, what is the value of f(4)?

Accepted Answer

6

Answer

-2

Answer

10

Answer

2

Question 5

Which of the following is a solution to the inequality 3x - 5 > 10?

Accepted Answer

x > 5

Answer

x > -5

Answer

x < -5

Answer

x < 5

Question 6

A rectangle has a length of (x + 3) units and a width of (x - 2) units. What is the area of the rectangle in terms of x?

Accepted Answer

x² + x - 6

Answer

x² - 6

Answer

x² - x - 6

Answer

2x + 1

Question 7

What is the solution to the system of equations: y = 2x + 1 and y = -x + 4?

Accepted Answer

x = 1, y = 3

Answer

x = 3, y = 7

Answer

x = 2, y = 5

Answer

x = -1, y = -1

Question 8

Factor the expression completely: x² - 9

Accepted Answer

(x + 3)(x - 3)

Answer

(x - 9)(x + 1)

Answer

(x + 3)²

Answer

(x - 3)²

Question 9

The equation of a line passing through the points (2, 1) and (4, 5) is:

Accepted Answer

y = 2x - 3

Answer

y = x + 1

Answer

y = -x + 3

Answer

y = -2x + 5

Question 10

A company's profit (P) can be modeled by the equation P = 100x - 500, where x is the number of units sold. How many units must be sold to make a profit of $2500?

Accepted Answer

x = 27.5

Answer

x = 25

Answer

x = 30

Answer

x = 20

Question 11

A rectangle has a length of (x + 5) units and a width of (x - 3) units. What is the area of the rectangle in square units?

Accepted Answer

x² + 2x - 15

Answer

x² + 8x - 15

Answer

2x + 2

Answer

2x - 8

Question 12

Solve for x: 3(x - 4) = 5x + 2

Accepted Answer

x = -7

Answer

x = 7

Answer

x = -1

Answer

x = 1

Question 13

Which of the following expressions represents the phrase 'five less than twice a number n'?

Accepted Answer

2n - 5

Answer

2(n - 5)

Answer

5n - 2

Answer

5 - 2n

Question 14

What is the slope of the line passing through the points (2, 5) and (4, 9)?

Accepted Answer

2

Answer

1/2

Answer

-2

Question 15

What is the y-intercept of the line represented by the equation y = -3x + 7?

Accepted Answer

(0, 7)

Answer

(7, 0)

Answer

(-3, 0)

Answer

(0, -3)

Question 16

Simplify the expression: (4x² - 3x + 5) - (2x² + x - 7)

Accepted Answer

2x² - 4x + 12

Answer

2x² - 4x - 2

Answer

2x² - 2x + 12

Answer

6x² - 2x - 2

Question 17

Factor the expression completely: 6x² + 11x - 10

Accepted Answer

(2x + 5)(3x - 2)

Answer

Prime (cannot be factored)

Answer

(2x - 5)(3x + 2)

Answer

(6x + 5)(x - 2)

Question 18

A car travels 240 miles in 4 hours. What is the average speed of the car in miles per hour?

Accepted Answer

60 mph

Answer

0.017 mph

Answer

960 mph

Answer

40 mph

Question 19

If f(x) = 2x - 5, what is the value of f(4)?

Accepted Answer

3

Answer

-1

Answer

-3

Answer

13

Question 20

What is the solution to the inequality 2x + 5 < 11?

Accepted Answer

x < 3

Answer

x ≤ 3

Answer

x ≥ 3

Answer

x > 3

Question 21

Which of the following is an example of a variable?

Accepted Answer

x

Answer

5

Answer

2x

Answer

y = 2x + 1

Question 22

Solve for x: 2x - 5 = 15

Accepted Answer

10

Answer

5

Answer

15

Question 23

Which of the following is the graph of y = x^2?

Accepted Answer

A parabola shaped like an 'U'

Answer

A straight line

Answer

An ellipse

Answer

A circle

Question 24

Factor the expression: x^2 - 4

Accepted Answer

(x + 2)(x - 2)

Answer

(x - 2)^2

Answer

(x + 4)(x - 4)

Answer

Cannot be factored

Question 25

Simplify the expression: (2x + 3)(x - 1)

Accepted Answer

2x^2 + x - 3

Answer

4x^2 + 2x - 3

Answer

4x^2 - 2x - 3

Answer

2x^2 - x - 3

Question 26

Solve the inequality: 3x - 2 > 8

Accepted Answer

x > 10/3

Answer

x < 10/3

Answer

x < 3/10

Answer

x > 3/10

Question 27

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

Accepted Answer

3

Answer

-3

Answer

6

Answer

2

Question 28

Which of the following is the equation of the line with slope 2 and y-intercept 3?

Accepted Answer

y = 2x + 3

Answer

x = 3y + 2

Answer

y = 3x + 2

Answer

x = 2y + 3

Question 29

Solve for x: |x - 2| = 5

Accepted Answer

x = -3 or x = 7

Answer

x = -5 or x = 5

Answer

x = 5 or x = -7

Answer

x = 3 or x = 7

Question 30

Simplify the radical expression: √(16x^6y^2)

Accepted Answer

4x^3y

Answer

2x^3y

Answer

Cannot be simplified

Answer

8x^3y^2