Free Printable Properties of Equality

Worksheets

Properties of Equality

Total questions: 40

Worksheet time: 38mins

Name

Class

Date

In order to balance an equation you must do the _________ thing(s) to __________ side(s) of the equation

Same, One

Same, Both

Different, One

Different, Both

If you divide one side of equation by 4 what should you do to the other?

add 4

subtract 4

multiply by 4

divide by 4

If you add 4 to one side of equation what should you do to the other?

add 4

subtract 4

divide by 4

multiply by 4

If you multiply one side of equation by 4 what should you do to the other?

add 4

subtract 4

multiply by 4

divide by 4

If you subtract 4 to one side of equation what should you do to the other?

add 4

subtract 4

multiply by 4

divide by 4

Subtract 9 from one side and add 9 to the other side

good

bad

Divide one side by 6 and divide the other side by 6

good

bad

Add 2 to one side and Add the other side by 5

good

bad

Multiply one side by 4 and divide the other side by 4

Good

Bad

10.

Does 6x + 4 = 34 equal
6x + 4 - 3 = 34 - 3

yes

11.

Does 36 = 25 + 11 equal 36(3) = (25 + 11) ÷ 3

yes

12.

Does x - 6 = 18 equal
(x - 6) + 4 = 18

yes

13.

Does 4f = 40 equal
3 × 4f = 3 × 40

yes

14.

What property is being used
if 2x - 5 = 78 then
2x - 5 + 9 = 78 + 9

Addition

Subtraction

Multiplication

Division

15.

What property is being used
if 28 = 4x then
28 ÷ 2 = 4x ÷ 2

Addition

Subtraction

Multiplication

Division

16.

How do you balance the equation
if α + Γ = ξ then
α + Γ - ψ = ξ _______

x ψ

÷ ψ

+ ψ

- ψ

17.

What property of equality is shown below?

25 + d = 36

25 + d - 25 = 36 - 25

addition property of equality

division property of equality

multiplication property of equality

subtraction property of equality

18.

What property of equality is shown below?

y - 12 = 30

y -12 + 12 = 30 +12

addition property of equality

multiplication property of equality

subtraction property of equality

division property of equality

19.

y - 12 = 30

y - 12 - 12 = 30 + 21

False, different numbers and different operations were used

False, same number but different operation

False, different number but same operation

True, same number and operation was used on both sides

20.

What property of equality is shown below?
7n=28
7n ÷ 7 = 28 ÷ 7

addition property of equality

division property of equality

subtraction property of equality

multiplication property of equality

21.

7n=28
7n ÷ 5 = 28 ÷ 2

True, same operation and number was done to both sides

False, same operation was used but different numbers

False, same numbers were used but different operations

False, different numbers and different operations were used

22.

What property of equality is shown below?

5m + 4 = 19

5m + 4 - 4 = 19 - 4

subtraction property of equality

multiplication property of equality

division property of equality

addition property of equality

23.

m + 4 = 19

m + 4 x 4 = 19 x 4

False, even though the both sides are times four, m + 4 needs to be in parentheses

True, you did times four to both sides

False, same number was used but different operation

False, same operation was used but different number

24.

What property of equality is shown below?

10 + d = 25

10 + d -10 = 25 - 10

addition property of equality

division property of equality

subtraction property of equality

multiplication property of equality

25.

10 + d = 25

10 + d + 10 = 25 - 10

False, numbers are the same but the operations are different

True, did the same thing to both sides

False, only subtracted 10 from one side

False, the operation is the same but the numbers are different

26.

What property of equality is shown below?

y - 6 = 20

y - 6 + 6 = 20 + 6

addition property of equality

multiplication property of equality

subtraction property of equality

division property of equality

27.

y - 6 = 20

y - 6 = 20 - 6

True, subtracting 6 from both sides

False, only subtracted 6 from one side

False, subtracted different numbers from both sides

False, numbers are the same but operations are different

28.

What property of equality is shown below?

5m + 4 = 19

5m + 4 - 4 = 19 - 4

addition property of equality

subtraction property of equality

multiplication property of equality

division property of equality

29.

What property of equality is shown below?

25 + d = 36

25 + d - 25 = 36 - 25

addition property of equality

subtraction property of equality

division property of equality

multiplication property of equality

30.

What property of equality is shown below?

y - 12 = 30

y -12 + 12 = 30 +12

addition property of equality

subtraction property of equality

multiplication property of equality

division property of equality

31.

What property of equality is show below?
7n=28
7n $\div$ 7 = 28 $\div$ 7

addition property of equality

subtraction property of equality

multiplication property of equality

division property of equality

32.

What property of equality is shown below?

5m + 4 = 19

5m + 4 - 4 = 19 - 4

addition property of equality

subtraction property of equality

multiplication property of equality

division property of equality

33.

What property of equality is shown below?

\frac{y}{7}=7

y\cdot

7 = 7

\cdot

addition property of equality

subtraction property of equality

multiplication property of equality

division property of equality

34.

What property of equality is shown below?

10 + d = 25

10 + d -10 = 25 - 10

addition property of equality

subtraction property of equality

division property of equality

multiplication property of equality

35.

What property of equality is shown below?

\frac{y}{8}=8

y\cdot

8 = 8

\cdot

addition property of equality

subtraction property of equality

multiplication property of equality

division property of equality

36.

What property of equality is shown below?

y - 6 = 20

y - 6 + 6 = 20 + 6

addition property of equality

subtraction property of equality

multiplication property of equality

division property of equality

37.

What property of equality is shown below?

3x + 7 = 22

3x + 7 - 7 = 22 - 7

addition property of equality

subtraction property of equality

multiplication property of equality

division property of equality

38.

If you divide one side of an equation by 3, what should you do to the other?

add 3

divide by 3

subtract 3

multiply by 3

39.

What property of equality is shown below?

8 + z = 15

8 + z - 8 = 15 - 8

subtraction property of equality

addition property of equality

multiplication property of equality

division property of equality

40.

If you subtract 8 from one side of an equation, what should you do to the other?

add 8

subtract 8

multiply by 8

divide by 8

100 %

Properties of Equality

Total questions: 40

Worksheet time: 38mins

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