Expressions and Equations: Interactive Quizzes for 7th Grade Math

Question 1

What is the solution to the inequality x - 3 > 5?

Accepted Answer

x > 8

Answer

x < 8

Answer

x = 2

Question 2

Simplify the expression: 3(2x - 5)

Accepted Answer

6x - 15

Answer

6x - 5

Answer

x - 15

Answer

2x - 15

Question 3

A rectangle has a perimeter of 30 centimeters. If the length is 'l' and the width is 'w', which equation shows this relationship?

Accepted Answer

l + w = 30

Answer

l - w = 30

Answer

l x w = 30

Answer

l ÷ w = 30

Question 4

Factor the expression: x² - 9

Accepted Answer

(x + 3)(x - 3)

Answer

(x + 9)(x - 1)

Answer

(x - 3)(x - 3)

Answer

The expression cannot be factored

Question 5

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

Accepted Answer

4x + 13

Answer

2x + 13

Answer

4x - 13

Answer

2x - 13

Question 6

Simplify the expression: |x - 3| + 2

Accepted Answer

2, if x ≥ 3; -x + 5, if x < 3

Answer

x + 5

Answer

-x + 5

Answer

x - 3 + 2

Question 7

Solve the equation: (x - 2) / (x + 3) = 1/2

Accepted Answer

x = 1

Answer

x = 2

Answer

x = -3

Question 8

A car rental company charges a flat fee of $50 plus $0.25 per mile driven. Write the equation for the total cost of renting the car, and calculate the total cost for renting it for 120 miles.

Accepted Answer

Total cost = 50 + 0.25 * miles driven

Answer

Total cost = 0.25 + 50 * miles driven

Answer

Total cost = 50 - 0.25 * miles driven

Answer

Total cost = 0.25 * miles driven - 50

Question 9

A website received 1000 visitors in January. The number of visitors increases by 20% each month. Write a linear function to model the number of visitors and predict the number of visitors in June.

Accepted Answer

V = 1000(1 + 0.20)^x

Answer

V = 1000 + 20x

Answer

V = 1000(1 - 0.20)^x

Question 10

Which expression is equivalent to 2x +5?

Accepted Answer

2(x+2)

Answer

x+10

Answer

(2x)^2

Answer

5x

Question 11

Simplify the expression: 3x(x-2)

Accepted Answer

3x^2-2x

Answer

x-6

Answer

x^2+2x

Answer

3x^2

Question 12

Which equation represents the line passing through the point (2,3) with a slope of 2?

Accepted Answer

y=2x+1

Answer

y=2x-1

Answer

y=x+5

Answer

y=x-1

Question 13

Which of the following is equivalent to the expression 2(x - 5) + 3?

Accepted Answer

2x - 10 + 3

Answer

x - 7

Question 14

Which of the following equations represents a horizontal line?

Accepted Answer

y = 2

Answer

y = x + 3

Question 15

Solve for y: 2(x - y) = 5y + 10.

Accepted Answer

y = 2x - 10

Answer

y = x - 5

Question 16

Which of the following expressions is a perfect square trinomial?

Accepted Answer

x^2 + 6x + 9

Answer

x^2 - 6x + 9

Question 17

Simplify the expression: 2x + 5y - x + 3y

Accepted Answer

x + 8y

Answer

x - 2y

Answer

3x + 8y

Answer

3x - 2y

Question 18

Which of the following is the graph of the equation y = 2x + 1?

Accepted Answer

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

Answer

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

Answer

A parabola with a vertex at (0, 1)

Answer

A circle with a radius of 1

Question 19

Find the slope of the line passing through the points (2, 5) and (4, 9)

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 20

Which of the following is an example of a system of equations?

Accepted Answer

{x + y = 5, x - y = 1}

Answer

x + y = 5

Answer

x = 5

Answer

x > 5

Question 21

Solve the one-step equation: 2x - 10 = 14:

Accepted Answer

x = 12

Answer

x = 1

Answer

x = 10

Answer

x = 20

Question 22

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

Accepted Answer

y = 3x + 2

Answer

y = 2x + 3

Answer

y = 2 - 3x

Answer

y = 3 - 2x

Question 23

Simplify the expression using the distributive property: 4(2x + 3) - 3(x - 1):

Accepted Answer

11x + 12

Answer

5x + 12

Answer

5x - 12

Answer

11x - 12

Question 24

Solve the equation with a coefficient: 3x = -15:

Accepted Answer

x = -5

Answer

x = 5

Answer

x = 10

Answer

x = -10

Question 25

Which of the following is equivalent to the expression: 2x^2 - 5x + 3?

Accepted Answer

(2x - 3)(x - 1)

Answer

(2x + 3)(x - 1)

Answer

(2x - 1)(x - 3)

Answer

(2x + 1)(x - 3)

Question 26

Find the slope of the line that passes through the points (2, 5) and (4, 9).

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 27

The area of a square is 144 square inches. What is the length of each side?

Accepted Answer

12 inches

Answer

6 inches

Answer

9 inches

Answer

15 inches

Question 28

Which of the following equations has a slope of -2?

Accepted Answer

y = -2x + 3

Answer

y = 2x + 5

Answer

y = 3x - 2

Answer

y = 5 - x

Question 29

Which transformation shifts the graph of y = x^2 vertically upward by 2 units?

Accepted Answer

y = x^2 + 2

Answer

y = x^2 - 2

Answer

y = (x + 2)^2

Answer

y = (x - 2)^2

Question 30

Determine which of the following is an algebraic expression:

Accepted Answer

2x + 5

Answer

x = 5

Answer

y > 10

Answer

3 + 4

Question 31

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

Accepted Answer

2x + 6 - 5

Answer

x + 6 - 5

Answer

2x + 1

Answer

x + 1

Question 32

Find the value of x that satisfies the equation: |x - 5| = 11

Accepted Answer

x = 16 or x = -6

Answer

x = 8

Answer

x = 2

Question 33

Which expression represents a product of a number and a variable?

Accepted Answer

5x

Answer

x = 5

Answer

5

Answer

x + 5

Question 34

Simplify the expression: 2 times the sum of x and 3

Accepted Answer

2x + 6

Answer

x + 6

Answer

4x

Answer

2x

Question 35

Which graph shows the equation y equals 2x plus 1?

Accepted Answer

A straight line that passes through (0, 1) and has a slope of 2

Answer

A straight line that passes through (1, 2) and has a slope of 2

Answer

A parabola that opens upwards with a vertex at (0, 1)

Answer

A circle with a radius of 2

Question 36

Which property allows us to change the order of the numbers being added without changing the sum: (3 plus 4) plus 5 is the same as 3 plus (4 plus 5)?

Accepted Answer

Associative property of addition

Answer

Commutative property of addition

Answer

Distributive property

Answer

Identity property of multiplication

Question 37

What is the slope of the line y equals minus 2x plus 5?

Accepted Answer

Minus 2

Answer

2

Answer

5

Answer

Minus 5

Question 38

Which equation represents a graph with a slope of 2 and a y-intercept of -3?

Accepted Answer

y equals 2x minus 3

Answer

y equals negative 2x plus 3

Answer

y equals 3x minus 2

Answer

y equals negative 3x plus 2

Question 39

A town has a population of 5,000 people. Each year, the population grows by 2%. Write an equation to represent this exponential growth. Use the equation to predict the population in 5 years.

Accepted Answer

P = 5000 * (1.02)^t

Answer

P = 5000 + 0.02 * t

Answer

P = 5000 * (1 + t)^2

Answer

P = 5000 / (1.02)^t

Question 40

Which inequality represents the solution set of the condition x is less than 5?

Accepted Answer

x ≤ 5

Answer

x > 5

Answer

x ≥ 5

Answer

x ≠ 5

Question 41

Factor the quadratic expression: x² - 9

Accepted Answer

(x + 3)(x - 3)

Answer

(x - 3)(x - 3)

Answer

(x + 3)(x + 3)

Answer

(x - 3)²

Question 42

Simplify the algebraic fraction: (x² - y²)/(x - y).

Accepted Answer

x - y

Answer

x + y

Answer

y - x

Answer

x/y

Question 43

Identify a solution to the inequality x > 5.

Accepted Answer

x = 7

Answer

x = 3

Answer

x = 5

Answer

x = -10

Question 44

Simplify the algebraic expression: (x + 3)(x - 2).

Accepted Answer

x^2 + 5x + 6

Answer

x^2 - x - 6

Answer

x^2 + x - 6

Answer

x^2 - 5x + 6

Question 45

Identify which of the following represents a system of equations.

Accepted Answer

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

Answer

x = 5

Answer

y = 2x

Answer

x^2 + y^2 = 10

Question 46

Solve the system of equations: x + y = 5 and x - y = 1.

Accepted Answer

x = 3, y = 2

Answer

x = 2, y = 3

Answer

x = 5, y = 0

Answer

x = 0, y = 5

Question 47

Simplify the expression: (2x^2 - 3x + 4) - (x^2 - 2x + 1)

Accepted Answer

x^2 - x + 3

Answer

3x^2 - 5x + 3

Answer

2x^2 + x - 3

Answer

x^2 + x + 5

Question 48

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

Accepted Answer

x^2 - x - 6

Answer

x^2 + x - 6

Answer

x^2 - 5x - 6

Question 49

Which graph represents the inequality y > 2x - 1?

Accepted Answer

Graph of a line with dashed line at y = 2x - 1 and shaded area above the line

Answer

Graph of a parabola opening up with vertex at (0, -1)

Answer

Graph of a line with solid line at y = 2x - 1 and shaded area below the line

Question 50

Identify the example of an algebraic expression:

Accepted Answer

5x + 2

Answer

x > 5

Answer

2 = 5

Answer

The sum of two numbers

Question 51

What is the slope of the line given by: y = 2x + 1?

Accepted Answer

2

Answer

-2

Answer

0

Answer

1

Question 52

Determine the domain of the function: f(x) = 1/(x-2)

Accepted Answer

All real numbers except 2

Answer

All real numbers less than 2

Answer

All real numbers greater than 2

Answer

All real numbers

Question 53

What is the inverse operation of subtraction?

Accepted Answer

Addition

Answer

Division

Answer

Exponentiation

Answer

Multiplication

Question 54

Find the value of x in the equation: x + 5 = 12

Accepted Answer

x = 7

Answer

x = 17

Answer

x = -7

Answer

x = 5

Question 55

Graph the linear equation: y = -x + 2

Accepted Answer

The line has a slope of -1 and a y-intercept of 2.

Answer

The line has a slope of 2 and a y-intercept of -1.

Answer

The line has a slope of -2 and a y-intercept of 1.

Answer

The line has a slope of 1 and a y-intercept of -2.

Question 56

Find the value of y that satisfies the equation: |y| = 5

Accepted Answer

y = 5 or y = -5

Answer

y = -10

Answer

y = 0

Answer

y = 10

Question 57

Which of the following is NOT an algebraic expression?

Accepted Answer

5

Answer

y + 4

Answer

2x - 3

Answer

(a + b)^2

Question 58

Simplify the expression: 100 ÷ 2^2

Accepted Answer

25

Answer

50

Answer

20

Answer

12.5

Question 59

Which equation represents a proportional relationship?

Accepted Answer

y = kx

Answer

y = e^x

Answer

y = sin(x)

Answer

y = x^2