Free Printable Equivalent Algebraic Expressions

1.

Simplify the following expression:
(5 + 4x) + (2x - 8)

a)

13 + 6x

b)

6x - 3

c)

6x - 13

d)

6x + 3

2.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

3.

The numerical factor in a term of an algebraic expression. The 4 in the expression 4t³.

a)

coefficient

b)

variable

c)

factor

d)

exponent

4.

Simplify the expression:

3x + 6 + 7x

a)

10x + 6

b)

21x + 6

c)

16x

d)

9x + 7

5.

Translate the phrase into an algebraic expression: "Seven less than twice a number."

a)

$2x - 7$

b)

$7 - 2x$

c)

$2x + 7$

d)

$7x - 2$

6.

Evaluate the expression when $x = -3$ and $y = 2$ : $2x^2 - 3y$ .

a)

15

b)

12

c)

18

d)

21

7.

Translate the following sentence into an equation: "Eight times a number, decreased by 13, is equal to 35."

a)

$8x - 13 = 35$

b)

$8x + 13 = 35$

c)

$13x - 8 = 35$

d)

$13x + 8 = 35$

8.

The expression on the left represents the perimeter of the rectangle.
The expression on the right is simplified. What is the missing coefficient to y?
$2\left(2y-2\right)=\ _{\ \ldots\ y}-4$

a)

2

b)

4

c)

8

9.

Simplify the following

a)

5 + 3x

b)

8x

c)

8

d)

3x + 5x

10.

Identify the constant term of the expression 4n + 6 - 5n.

a)

4

b)

6

c)

n

d)

-5

11.

3a + 2 + a

a)

4a + 2

b)

5a

c)

6a

d)

2a + 2

12.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

13.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

14.

Simplify the following expression:
-6x + 4(-x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

15.

Simplify the following expression:
-7x +5 (1 - 8x)

a)

-33x + 5

b)

5 + 33x

c)

47x + 5

d)

5 - 47x

16.

Simplify the following expression:
19 - ( 3 - 5b)

a)

16 + 5b

b)

21 + 5b

c)

16 - 5b

d)

21 - 5b

17.

8 − 4(3𝑥 + 9) − 2(𝑥 − 7) + 𝑥

a)

−9𝑥 − 42

b)

−13𝑥 − 14

c)

−13𝑥 + 58

18.

To write an equivalent expression by combining like terms. For example writing 2x + 3x as 5x.

a)

exponent

b)

coefficient

c)

simplify

d)

solve

19.

Use the Distributive Property to write each expression as an equivalent expression. Then simplify it.

a)

1/4(x) + 1/4(12); 1/4x+3

b)

1/4(12x); 3x

c)

1/4(x) - 1/4(12); 1/4x-3

20.

Use the Distributive Property to write each expression as an equivalent expression. Then simplify it.

a)

7(-10)+z(-10); -10z-70

b)

7(-10)-z(-10); 10z+70

c)

7(-10)+10(z); -17-10z

Equivalent Algebraic Expressions

Total questions: 20

Worksheet time: 20mins

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