# PROPERTIES OF EQUALITY WORKSHEET

## About "Properties of equality worksheet"

Properties of equality worksheet :

Here we are going to see some practice questions based on the concept properties of equality.

## Properties of equality worksheet - Practice questions

(1)  Name the property used in the equation. Then find the value of "n"

12n = 12

(2)  Name the property used in the equation. Then find the value of n

⋅ 1  = 5

(3)  Name the property used in the equation. Then find the value of n

⋅ n  = 8 ⋅ 5

(4)  Name the property used in the equation. Then find the value of n

8 = n + 8

(5)  Name the property used in the equation. Then find the value of n

0.25 + 1.5 = n + 1.5

(6)  Name the property used in the equation. Then find the value of n

n + 0  =  1/3

(7)  Name the property used in the equation. Then find the value of n

1 = 2n

(8)  Name the property used in the equation. Then find the value of n

3 + (2 + 8) = n + 10

(9)  Name the property used in the equation. Then find the value of n

(9 - 7)(5) = 2(n)

(10)  Name the property used in the equation. Then find the value of n

n(5² ⋅ 1/25) =  3

## Properties of equality worksheet - Solution

Question 1 :

Name the property used in the equation. Then find the value of n

12n = 12

Solution :

In the right side of the equal sign, we have the number 12. Here 12 and n are multiplied. Instead of n, if we put 1, we will get the same answer 12.

Value of n : 1

Property used : Multiplicative identity

Question 2 :

Name the property used in the equation. Then find the value of n

⋅ 1  = 5

Solution :

According to the multiplicative identity property, the product of a number and 1 is equal to the same number.

Since "n" is multiplying by 1, the answer should be n. On the right side, instead of n we have 5.

Value of n : 5

Property used : Multiplicative identity

Question 3 :

Name the property used in the equation. Then find the value of n

⋅ n  = 8 ⋅ 5

Solution :

According to the reflexive property, a ⋅ b  =  b ⋅ a. Instead of n, we have 5.

Value of n : 5

Property used : Reflexive identity

Question 4 :

Name the property used in the equation. Then find the value of n

8 = n + 8

Solution :

According to additive inverse property, if a number is added with 0, then the answer will become a number.

That is, a + 0 = a

Value of n : 8

Question 5 :

Name the property used in the equation. Then find the value of n

0.25 + 1.5 = n + 1.5

Solution :

According to reflexive property, for any two numbers a + b  =   b + a.

By comparing n + 1.5 with 0.25 + 1.5, instead of "n" we have 0.25.

Value of n : 0.25

Property used : Reflexive inverse

Question 6 :

Name the property used in the equation. Then find the value of n

n + 0  =  1/3

Solution :

According to additive inverse property, the sum of a number and zero is equal to he number.

So, there must be 1/3 instead of "n" because we have 1/3 as answer.

Value of n : 1/3

Question 7 :

Name the property used in the equation. Then find the value of n

1 = 2n

Solution :

According to multiplicative inverse property, if we multiply any number by its reciprocal, we will get 1 as answer

The reciprocal of 2 is 1/2.

Value of n : 1/3

Question 8 :

Name the property used in the equation. Then find the value of n

3 + (2 + 8) = n + 10

Solution :

3 + (2 + 8) = n + 10

3 + 10 = n + 10

Reflexive property says that a + b is equal to b + a.

Instead of n, we have 3.

Value of n : 3

Property used : Reflexive

Question 9 :

Name the property used in the equation. Then find the value of n

(9 - 7)(5) = 2(n)

Solution :

(9 - 7)(5) = 2(n)

2(5) = 2(n)

By comparing the above statement with reflexive property, we have 5 instead of n.

Value of n : 5

Property used : Reflexive

Question 10 :

Name the property used in the equation. Then find the value of n

n(5² ⋅ 1/25) =  3

Solution :

n(5² ⋅ 1/25) =  3

n(25 ⋅ 1/25) =  3

n(1) =  3

The product of a number and 1 is equal to that number.Hence the value of n is 3.

Value of n : 3

Property used : Multiplicative identity property

After having gone through the stuff given above, we hope that the students would have understood "Properties of equality worksheet".

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