Free Printable Equivalent Expressions

1.

Which answer choice is equivalent to:
3(2x+8)

a)

2x+24

b)

6x+24

c)

6x+8

d)

5x+11

2.

Which answer choice is equivalent to:
12x-16

a)

3(4x+5)

b)

3(4x-6)

c)

4(4x-3)

d)

4(3x-4)

3.

Which answer choice is equivalent to:
3(2x+8)

a)

2x+24

b)

6x+24

c)

6x+8

d)

5x+11

4.

Which answer choice is equivalent to:
12x-16

a)

3(4x+5)

b)

3(4x-6)

c)

4(4x-3)

d)

4(3x-4)

5.

Which answer choice is equivalent to:
18x-9

a)

3(3x-3)

b)

9(2x+1)

c)

9(2x-1)

d)

6(3x+(2/3))

6.

Which answer choice is equivalent to:
4(2x-5)+6x

a)

-6x

b)

14x-20

c)

20-14x

d)

14x-5

7.

Which answer choice is equivalent to:
5x+3(x-6)

a)

8x-18

b)

18-8x

c)

18+8x

d)

-2x

8.

Which answer choice is equivalent to:
30x-24

a)

4(7x-6)

b)

6(5x-4)

c)

5(x+5)+25x

d)

6(4x+5)-5x

9.

Which answer choice is equivalent to:
3x+3(2x-7)

a)

21-9x

b)

21x-9

c)

9x-21

d)

9-21x

10.

Which answer choice is equivalent to:
5(2x-3)-3x

a)

10x-6

b)

7x-15

c)

6-10x

d)

15-7x

11.

Which answer choice is equivalent to:
10x-16

a)

4(3x-4)+2x

b)

8(2x-2)-6x

c)

10(x-16)

d)

5(2x-15)-1

12.

Which answer choice is equivalent to:
3x+4x+6(x-3)+4

a)

13x-14

b)

14x-13

c)

14-13x

d)

13-14x

13.

A variable...

a)

represents an unknown value.

b)

is a symbol.

c)

has no answer.

14.

How would you show: a number p increased by 48

a)

p+48

b)

48+p

c)

48-p

d)

p-48

15.

How would you show: 12 more than 5 times a number y

a)

5y+12

b)

12-5y

c)

12+5y

d)

5y-12

16.

3 + x if x = 7

a)

11

b)

10

c)

4

d)

-4

17.

Which of the following expressions is equivalent to
2k+10 + 15k

a)

27k

b)

15k+2k+10

c)

17k-10

18.

Which mathematical property shown here proves that these two expressions are equivalent?
6(v+5v) = 6v+30v

a)

Commutative Property multiplication

b)

Identity Property

c)

Distributive Property

d)

Associative Property of addition

19.

What is another way to write 5³

a)

3 x 3 x 3

b)

3 x 3 x 3 x 3 x 3

c)

5 + 5 + 5 + 5 + 5

d)

5 x 5 x 5

20.

Find the equivalent expression.

9 x 9 x 9 x 9 x 9

a)

9⁵

b)

9¹⁵

c)

9 x 5

d)

9 + 9 + 9 + 9+ 9

21.

2⁵ is the same as 2 x 5.

a)

True

b)

False

22.

Which expression is equivalent to 6y + 22y + y?

a)

28y + 1

b)

29y

c)

22y + 7

d)

29

23.

Which expression is equivalent to 3x + 5 + 7x + 2?

a)

10x + 7

b)

17x

c)

17

d)

15x + 2

24.

Which expression is equivalent to 4(x + 6)?

a)

4x + 6

b)

4x + 24

c)

x + 24

d)

10x + 24

25.

Which expression is equivalent to 6(2x - 3)?

a)

12x - 3

b)

8x -9

c)

8x - 18

d)

12x - 18

26.

Which expression is equivalent to 3a² + 6a + 5a²?

a)

14a²

b)

14a

c)

8a² + 6a

d)

3a² + 11a

27.

Which expression is equivalent to 6y + 22y + y?

a)

28y + 1

b)

29y

c)

22y + 7

d)

29

28.

Which expression is equivalent to 7(3a + 4b)?

a)

21a + 28b

b)

10a + 11b

c)

21a + 4b

d)

10a + 28b

29.

Which expression is equivalent to z + z² + 1?

a)

3z

b)

1 + z + z²

c)

2z + 1

d)

2z² + 1

30.

Which expression is equivalent to 6(3y - 2y + 7)?

a)

18y + 7

b)

21y - 14y + 7

c)

18y + 42

d)

6y + 42

31.

Which expression is equivalent to 15x + 10 - 6x - 1?

a)

9x + 9

b)

18x

c)

15x - 3

d)

9x + 11

32.

Which expression is equivalent to 12(5 - 4x)?

a)

12x

b)

17 - 16x

c)

60 - 48x

d)

60 - 4x

33.

Use the distributive property to find an equivalent expression: 5(2f + 4)

a)

10f + 4

b)

10f + 9

c)

10f + 20

d)

30f

34.

Find an equivalent expression for the given expression: 36x + 24

a)

4(9x + 7)

b)

4(9x + 8)

c)

2(18x + 12)

d)

12(3x + 3)

35.

Choose the equivalent expression for the given expression: 2(r + y)

a)

3ry

b)

2r + y

c)

2r + 2y

d)

3r + 3y

36.

Use the given expression to answer the following question.
5x + 9 - 4b
There are _________ terms in the given algebraic expression.

a)

2

b)

3

c)

4

d)

5

37.

In the given expression, the 4 and the 8 are the ________________ in the expression.
4r + 8u

a)

variables

b)

terms

c)

coefficients

d)

exponents

38.

In the given expression, the v and the r are called the __________________.
15v - 13r

a)

terms

b)

exponents

c)

coefficients

d)

variables

39.

Which expression represents twice the quantity of 11 less than k.

a)

11 -k

b)

k - 11

c)

2k - 11

d)

2(k-11)

40.

Which answer choice is equivalent to:

12x-16

Select all that apply.

a)

3(4x+5)

b)

3(4x-6)

c)

4(4x-3)

d)

4(3x-4)

e)

8x-(4⋅4)+4x

41.

Which expression is equivalent to 3x + 5 + 7x + 2?

a)

10x + 7

b)

17x

c)

17

d)

15x + 2

42.

Which expression is equivalent to 3a² + 6a + 5a²?

a)

14a²

b)

14a

c)

8a² + 6a

d)

3a² + 11a

43.

Which expression is equivalent to 6y + 22y + y?

a)

28y + 1

b)

29y

c)

22y + 7

d)

29

44.

Which expression is equivalent to 7(3a + 4b)?

a)

21a + 28b

b)

10a + 11b

c)

21a + 4b

d)

10a + 28b

45.

Which expression is equivalent to z + z² + 1?

a)

3z

b)

1 + z + z²

c)

2z + 1

d)

2z² + 1

46.

Which expression is equivalent to 15x + 10 - 6x - 1?

a)

9x + 9

b)

18x

c)

15x - 3

d)

9x + 11

47.

Which expression is equivalent to:
6m − m

a)

5m

b)

7m

c)

8m

d)

5

48.

Which expression is equivalent to:
d + d + d + 3 + 2

a)

3d + 5

b)

d + 5

c)

2d + 7

d)

3d + 4

49.

Which expression is equivalent to:
(e + e) + e

a)

3e

b)

e + 3

c)

5e

d)

2e − e

50.

Which expression is equivalent to:
4s + 4s

a)

8s

b)

8

c)

s

d)

9s

51.

A restaurant received a shipment of five crates of glasses with g glasses in each crate. The manager dropped one crate, breaking all of the glasses inside of it. Which expression shows how many glasses are left?

a)

5g − g

b)

5

c)

4

d)

g

52.

Which answer choice is equivalent to:
5(2x-3)-3x

a)

10x-6

b)

7x-15

c)

6-10x

d)

15-7x

53.

Simplify $8\left(2x-3\right)$

a)

$16x-3$

b)

$2x-24$

c)

$16x-24$

d)

$10x-3$

54.

Which expression is equivalent to $6x+24$ ?

a)

$6\left(x+24\right)$

b)

$6\left(x\right)+6\left(4\right)$

c)

$x\left(6+24\right)$

d)

$30x$

55.

Choose ALL expressions equivalent to $4\left(-2x+3\right)$

a)

$-8x+3$

b)

$-2x+12$

c)

$-8x+12$

d)

$-2\left(-6+4x\right)$

e)

$-12+8x$

56.

To trade a number for a letter in an expression to get a value.

a)

Solve

b)

Substitute

c)

Simplify

d)

Distribution

57.

Two numbers that, when added, have a sum of zero.

a)

Reciprocals

b)

Integers

c)

Opposites

d)

Negatives

58.

Two numbers that multiply to make a product of ONE.

a)

Opposites

b)

Absolute Value

c)

Square Roots

d)

Reciprocals

59.

Multiply the factor outside parentheses by every factor inside the parentheses.

a)

Factor

b)

Distribute

c)

Simplify

d)

Solve

60.

Which expression IS NOT equivalent to $8x-24$ ?

a)

$4\left(2x-24\right)$

b)

$2x+6\left(x-4\right)$

c)

$8\left(x-3\right)$

d)

$-4\left(-2x\right)-4\left(6\right)$

61.

Which option is an example of LIKE TERMS?

a)

$3\ \ and\ \ 3x$

b)

$-4x\ \ and\ \ x^2$

c)

$5x\ \ and\ \ -14x$

d)

$7x\ \ and\ \ 7x^2$

62.

Combine like terms, simplify, and choose the equivalent expression below for $5x-3+2\left(x-3\right)-2x+4\left(5\right)$

a)

$-24$

b)

$9x+29$

c)

$5x+11$

d)

$5x+14$

Equivalent Expressions

Total questions: 62

Worksheet time: 6hrs 36mins

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