**Properties of equality worksheet :**

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

(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

n ⋅ 1 = 5

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

8 ⋅ 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

**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

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

8 ⋅ 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**

**Property used : Additive inverse**

**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**

**Property used : Additive inverse **

**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**

**Property used : Additive inverse**

**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".

Apart from the stuff given above, if you want to know more about "Properties of equality worksheet", please click here

Apart from the stuff given on "Difference between inductive and deductive reasoning", if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**