Algebraic Expressions and Equations Quiz: Test Your Skills

Question 1

Simplify the expression: 3 times (x plus 2).

Accepted Answer

3x plus 6

Answer

x plus 6

Answer

3x plus 2

Answer

x plus 3 times 2

Question 2

Which of these is NOT an expression? An expression is a mathematical phrase that does not have an equals sign (=).

Accepted Answer

x = 3

Answer

2x + 5

Answer

2 + π

Answer

y

Question 3

A classroom has 3x boys and 5y girls. Which expression shows the total number of students in the room?

Accepted Answer

3x + 5y

Answer

8xy

Answer

3x - 5y

Answer

5y - 3x

Question 4

Which of the following is NOT an algebraic expression?

Accepted Answer

7 - 2

Answer

2x + 3

Answer

3(x - 4)

Answer

y^2 + 2y - 1

Question 5

Which expression is equivalent to 2x + 3y - 5?

Accepted Answer

2x + 3y - 5

Answer

5x + 3y - 2

Answer

2x + 3y - 8

Answer

3x + 3y - 5

Question 6

Which of the following is an example of an algebraic expression?

Accepted Answer

2x + 3

Answer

x = 5

Answer

3 + 4

Answer

x > 5

Question 7

In math, we've learned about algebraic expressions. Which of these is an example of an algebraic expression?

Accepted Answer

5x - 10

Accepted Answer

x/3 + 2

Answer

12 + 5

Answer

3^2

Question 8

What is the simplified form of the expression: 2x + 3x - 5?

Accepted Answer

5x - 5

Answer

x + 2

Answer

-x + 8

Answer

x - 2

Question 9

Find the value of 2x + 5 when x is 3.

Accepted Answer

11

Answer

8

Answer

15

Answer

5

Question 10

Find the value of 2x + 3 when x equals 5.

Accepted Answer

13

Answer

10

Answer

5

Answer

3

Question 11

When writing an algebraic expression, which of the following should be excluded?

Accepted Answer

Complete sentences

Answer

Numbers

Answer

Variables

Answer

Mathematical symbols

Question 12

In the expression 3(x + 2), what is the result of multiplying 3 by the expression inside the parentheses?

Accepted Answer

3x + 6

Answer

x + 6

Answer

6x + 3

Answer

x + 3

Question 13

To solve for x in the equation 2x + 5 = 13, what steps should you follow?

Accepted Answer

Subtract 5 from both sides, then divide both sides by 2.

Answer

Add 5 to both sides, then multiply both sides by 2.

Answer

Divide both sides by 2, then add 5 to both sides.

Answer

Multiply both sides by 2, then subtract 5 from both sides.

Question 14

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

Accepted Answer

5x + 4

Answer

5x - 4

Answer

3x + 8

Answer

3x - 8

Question 15

Identify the algebraic expression that combines a variable and a constant:

Accepted Answer

x + 5

Answer

x = 5

Answer

5

Question 16

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

Accepted Answer

3x - 5 + 2y

Answer

x + y - 3

Answer

3x + 2y + 5

Question 17

Which of these is an algebraic expression?

Accepted Answer

x + 5

Accepted Answer

2x - 3

Answer

3 + 4

Answer

y = 2

Question 18

Which of these is NOT an algebraic expression?

Accepted Answer

2

Answer

7 + x

Answer

4(y - 3)

Question 19

Combine the like terms in the expression: 2x + 3x

Accepted Answer

5x

Answer

x

Answer

x + 5

Answer

x - 5

Question 20

In an algebraic expression, which part stays the same, even when other parts change?

Accepted Answer

Constant

Answer

Variable

Answer

Coefficient

Question 21

Identify the algebraic expression from the given options:

Accepted Answer

2x + 5

Answer

5 = x + 2

Answer

x

Answer

5

Question 22

We have two numbers that add up to 25. If we represent one number as 'x', what expression represents the other number?

Accepted Answer

25 - x

Answer

x + 25

Answer

25 / x

Answer

x - 25

Question 23

Which algebraic expression represents the area of a square with a side length of 's'?

Accepted Answer

s x s

Answer

s + s

Answer

s / s

Answer

2s

Question 24

You have 5 baskets, and each basket contains 6 apples. Which algebraic expression represents this situation?

Accepted Answer

5 * 6

Answer

5 + 6

Answer

6 - 5

Answer

5 / 6

Question 25

To simplify the expression **2(3x + 5)**, what mathematical operation should we perform?

Accepted Answer

Multiply the coefficient by each term inside the parentheses

Answer

Combine similar terms

Answer

Extract the greatest common factor from the expression

Question 26

In the expression -4x + 7, what is the coefficient of x?

Accepted Answer

-4

Answer

-7

Answer

1

Answer

x

Question 27

Solve for x: 3x - 5 = 16

Accepted Answer

x = 7

Answer

x = 9

Answer

x = 5

Answer

x = 3

Question 28

A car rental company charges a flat fee of $50 plus $0.25 for each mile driven. Write an algebraic expression that represents the total cost of renting the car, where m is the number of miles driven.

Accepted Answer

50 + 0.25m

Answer

0.25 + 50m

Answer

50 - 0.25m

Answer

0.25m - 50

Question 29

Translate the following word problem into an algebraic equation: 'The number of apples is 5 less than twice the number of oranges.'

Accepted Answer

a = 2o - 5

Answer

a = 2o + 5

Answer

o = 2a - 5

Answer

o = 2a + 5

Question 30

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

Accepted Answer

2x^2 - 5x - 12

Answer

2x^2 + 5x - 12

Answer

2x^2 - 5x + 12

Answer

2x^2 + 5x + 12

Question 31

Translate the algebraic expression 2x + 5y into words.

Accepted Answer

The sum of twice a number and five times another number

Answer

The product of two and a number plus five and a number

Answer

The quotient of twice a number and five times another number

Answer

The difference between twice a number and five times another number

Question 32

Which of the following expressions is equal to 3x + 5?

Accepted Answer

3(x + 1) + 2

Answer

x + 3 + 2

Answer

x(3 + 5)

Answer

x + 15

Question 33

Peter's age is 5 years less than double his sister's age. If his sister is x years old, what expression shows Peter's age?

Accepted Answer

2x - 5

Answer

2x + 5

Answer

x - 5

Answer

x + 5

Question 34

Translate this word problem into an algebraic equation: The sum of three times a number and 5 is 23.

Accepted Answer

3x + 5 = 23

Answer

x + 3 * 5 = 23

Answer

3 + 5 * x = 23

Answer

5 - 3 * x = 23

Question 35

Which expression is equivalent to 3(x + 2)?

Accepted Answer

3x + 6

Answer

3x + 2

Answer

x + 6

Answer

x + 2

Question 36

Solve for x: x - 7 = 10

Accepted Answer

13

Answer

3

Answer

7

Answer

17

Question 37

Solve the equation: 2(x - 3) = 10

Accepted Answer

x = 8

Answer

x = 2

Answer

x = 5

Answer

x = 7

Question 38

Which expression is simplified correctly: 2(x + 3) + 5

Accepted Answer

2x + 6 + 5

Answer

2x + 3 + 5

Answer

x + 6 + 5

Answer

x + 3 + 5

Question 39

Solve for x: 3x - 10 = 14

Accepted Answer

x = 8

Answer

x = 4

Answer

x = 12

Answer

x = 16

Question 40

Translate the word problem into an algebraic equation: "The sum of twice a number and five is sixteen."

Accepted Answer

2x + 5 = 16

Answer

2 + 5x = 16

Answer

5x + 2 = 16

Answer

x + 5 + 2 = 16

Question 41

Which of the following is NOT an algebraic expression?

Accepted Answer

5

Answer

x + 5

Answer

5 - y

Answer

x/2

Question 42

Which equation represents the word problem: 'The result when you multiply a number by 4 is 28'?

Accepted Answer

4x = 28

Answer

x/4 = 28

Answer

4 + x = 28

Answer

28x = 4

Question 43

Solve the equation: 5 times (x minus 3) equals 20

Accepted Answer

x = 7

Answer

x = 1

Answer

x = 5

Question 44

Simplify the expression: 3(2x + 5)

Accepted Answer

6x + 15

Answer

6x + 5

Answer

9x + 5

Question 45

Identify a polynomial with a degree of 3:

Accepted Answer

x^3 - 4x^2 + 5

Answer

2x

Answer

x^2 + 2x - 1

Answer

1/(x+1)

Question 46

Simplify the expression: 6(x + 2)

Accepted Answer

6x + 12

Answer

6x

Answer

x + 12

Answer

12x

Question 47

Which inequality represents the situation: The speed limit on a highway is 65 miles per hour. A car is traveling less than 65 miles per hour.

Accepted Answer

x < 65

Answer

x > 65

Answer

x ≥ 65

Answer

x ≤ 65

Question 48

Which of the following is an example of an algebraic equation?

Accepted Answer

x + 5 = 10

Answer

2x - 1

Answer

y = 7

Answer

12 > 5

Question 49

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

Accepted Answer

6

Answer

8

Answer

4

Answer

10

Question 50

Translate the following word problem into an algebraic equation: The sum of a number and 5 is 12.

Accepted Answer

x + 5 = 12

Answer

x = 12 + 5

Answer

12 - x = 5

Answer

5x = 12

Question 51

Find the simplified form of the expression: 2(x + 3)

Accepted Answer

2x + 6

Answer

x + 2

Answer

x + 6

Answer

4x + 3

Question 52

Find the value of y in the equation: y = 2x - 1 when x equals 2

Accepted Answer

3

Answer

5

Answer

4

Answer

1

Question 53

Solve the equation: 2x - 5 = 7

Accepted Answer

6

Answer

4

Answer

2

Question 54

Which of the following is a linear equation in one variable?

Accepted Answer

y = 2x + 5

Answer

|x| = 5

Answer

x - y = 3z

Answer

y^2 = 4