Master Simplifying Math Expressions: Practice Quiz

Question 1

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

Accepted Answer

-2x + 3y

Answer

8x + 3y

Answer

8x - 3y

Answer

-2x - 3y

Question 2

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

Accepted Answer

13a - 12b

Answer

21ab

Answer

13a + 12b

Answer

8a - 12b + 5a

Question 3

Which expression is equivalent to: (-2x)(4 - 3y)?

Accepted Answer

-8x + 6xy

Answer

8x + 6xy

Answer

-8x - 6xy

Answer

8x - 6xy

Question 4

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

Accepted Answer

2x - 14

Answer

8x - 14

Answer

2x + 10

Answer

8x + 10

Question 5

After simplifying the expression 6xy - 2x + 4y - 3xy, what is the coefficient of 'y'?

Accepted Answer

4

Answer

6

Answer

3x

Answer

3

Question 6

A rectangle has a length of (3x + 2) and a width of (x - 1). Which expression represents its perimeter?

Accepted Answer

8x + 2

Answer

10x

Answer

4x + 1

Answer

3x² + x - 2

Question 7

Simplify the expression: (2x² - 5x + 3) + (x² + 3x - 1)

Accepted Answer

3x² - 2x + 2

Answer

2x² - 2x + 2

Answer

3x² - 8x + 4

Question 8

Which expression is NOT equivalent to the others?

Accepted Answer

4x - 2 + 2x

Answer

2(3x - 1)

Answer

6x - 2

Question 9

A square has a side length of (2x - 1). What is the simplified expression for its area?

Accepted Answer

4x² - 4x + 1

Answer

4x² + 1

Answer

8x - 4

Answer

4x² - 1

Question 10

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

Accepted Answer

x + 6y

Answer

x - 6y

Answer

2x + 6y

Answer

5x + 6y

Question 11

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

Accepted Answer

13a - 6b

Answer

8a + b

Answer

-3a - 6b

Answer

8a - 6b

Question 12

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

Accepted Answer

-2x + 15

Answer

-10x + 15

Answer

-10x - 15

Answer

-2x - 15

Question 13

Simplify the expression: 10 - 2(x + 4)

Accepted Answer

2 - 2x

Answer

2 + 2x

Answer

8 - 2x

Answer

-8 - 2x

Question 14

Find the perimeter of a rectangle with length (3x + 2) and width (x - 1)

Accepted Answer

8x + 2

Answer

3x^2 + x - 2

Answer

4x - 1

Answer

4x + 1

Question 15

Given x = 3, simplify the expression: 2(x^2 - 4x) + 7

Accepted Answer

1

Answer

-5

Answer

25

Answer

13

Question 16

Simplify the expression: -2x(3 - 4y)

Accepted Answer

-6x + 8xy

Answer

6x - 8xy

Answer

-6x + 8y

Answer

6x + 8y

Question 17

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

Accepted Answer

x + 6y

Answer

5x + 6y

Answer

5x - 4y

Answer

x - 6y

Question 18

Which expression is equivalent to 4(2a - 3b)?

Accepted Answer

8a - 12b

Answer

8a + 12b

Answer

6a - 7b

Answer

8a - 3b

Question 19

Simplify: 5(x + 2) - 3(x - 1)

Accepted Answer

2x + 13

Answer

2x + 7

Answer

8x + 7

Answer

8x + 13

Question 20

What is the simplified form of -2(m - 3n) + 4n?

Accepted Answer

-2m + 10n

Answer

-2m + 2n

Answer

-2m - 10n

Answer

-2m - 2n

Question 21

Which expression represents the perimeter of a rectangle with length (2x + 1) and width (x - 3)?

Accepted Answer

6x - 4

Answer

3x - 2

Answer

6x - 2

Answer

3x + 4

Question 22

Simplify: (4x² - 3x + 5) + (2x² + 5x - 1)

Accepted Answer

6x² + 2x + 4

Answer

6x² - 8x + 4

Answer

6x² + 2x + 6

Answer

2x² + 2x + 4

Question 23

What is the result of (7y - 4) - (3y + 2)?

Accepted Answer

4y - 6

Answer

4y - 2

Answer

10y - 6

Answer

10y - 2

Question 24

Which expression is NOT equivalent to the others?

Accepted Answer

3(2x - 4) + 2

Answer

2(3x - 5)

Answer

6(x - 2) + 2

Answer

6x - 10

Question 25

The length of a side of a square is represented by (2x - 1). What is the simplified expression for the perimeter of the square?

Accepted Answer

8x - 4

Answer

6x - 3

Answer

8x - 1

Answer

4x - 2

Question 26

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

Accepted Answer

-6x³ + 8x² - 10x

Answer

-6x² + 8x - 10

Answer

6x³ - 8x² + 10x

Answer

-6x³ + 8x - 10x²

Question 27

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

Accepted Answer

6x

Answer

4x

Answer

x

Answer

8x

Question 28

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

Accepted Answer

2x^2 - 2x + 3x - 3

Answer

4x^2 - x - 3

Answer

x^2 - x + 3x - 3

Answer

2x^2 + x - 3

Question 29

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

Accepted Answer

5x - 2

Answer

x - 6

Answer

5x + 2

Answer

x + 4

Question 30

Simplify the expression: (x + 2)^2

Accepted Answer

x^2 + 4x + 4

Answer

x^2 - 4x + 4

Answer

x^2 + 2x + 4

Answer

x^2 - 2x + 4

Question 31

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

Accepted Answer

x^2 - 9

Answer

(x - 3)^2

Answer

x^2 + 9

Question 32

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

Accepted Answer

8x^3 - 12x^2 + 6x - 1

Answer

8x^3 - 6x^2 + 12x - 1

Answer

2x^3 - 6x^2 + 12x - 1

Answer

2x^3 - 12x^2 + 6x - 1

Question 33

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

Accepted Answer

x - 1

Answer

(x - 1)^2

Answer

x^2 - 1

Question 34

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

Accepted Answer

x^2 - 1

Answer

x^4 - 1

Answer

(x - 1)^2

Answer

x^2 + 1

Question 35

Simplify the expression: (x^3 + 2x^2 - 3x - 6)/(x - 2)

Accepted Answer

x^2 + 4x + 3

Answer

x^3 - 6

Answer

x^2 - 4x - 3

Answer

(x + 2)^2

Question 36

Simplify the expression: (x^2 - y^2)/(x + y)

Accepted Answer

x - y

Answer

x^2 - y^2

Answer

x + y

Answer

(x - y)^2