**Distributive property of multiplication over addition worksheets are much useful to the kids who would like practice problems on distributive property of multiplication**

**Distributive property is a very useful property that lets us simplify ****expressions in which we are multiplying a number by the sum of two or more other numbers.**

**The property states that the product of a number and the sum of two or more other numbers is equal to the sum of the products.**

**More clearly, **

1. Evaluate using distributive property : 7(10 + 2)

2. Evaluate using distributive property : 6(x + y)

3. Evaluate using distributive property : m(n + p)

4. Evaluate using distributive property : 5(x² + y² + z²)

5. Evaluate using distributive property : m(m² + m + 5)

6. Write the given verbal phrase into algebraic expression

**"3 times the sum of two different numbers"**

**7. **If 4 times the sum of a number and 5 is 32, find the number.

8. Write the given verbal phrase into algebraic expression

**"6 times the sum of three different numbers"**

**9. **If 7 times the sum of 3 times of a number and 6 is 147, find the number.

10. If 9 times the sum of 7 and 4 times of a number is 135, find the number.

**Problem 1 : **

Evaluate using distributive property : 7(10 + 2)

**Solution :**

7(10 + 2) = 7(10) + 7(2)

7(10 + 2) = 70 + 14

7(10 + 2) = **84**

**Problem 2 : **

Evaluate using distributive property : 6(x + y)

**Solution :**

6(x + y) = **6x + 6y**

**Problem 3 : **

Evaluate using distributive property : m(n + p)

**Solution :**

m(n + p) = **mn + mp**

**Problem 4 : **

Evaluate using distributive property : 5(x² + y² + z²)

**Solution :**

5(x² + y² + z²) = **5x² + 5y² + 5z²**

**Problem 5 : **

Evaluate using distributive property : m(m² + m + 5)

**Solution :**

m(m² + m + 5) = m.m² + m.m + 5m

m(m² + m + 5) = **m****³ + m² + 5m**

**Problem 6 : **

Write the given verbal phrase into algebraic expression

**"3 times the sum of two different numbers"**

**Solution :**

Let "x" and "y" be the two different numbers.

Then,

The sum of two different numbers = x + y

3 times the sum of two different numbers = ** 3(x + y) **

**Problem 7 : **

If 4 times the sum of a number and 5 is 32, find the number.

**Solution :**

Let "x" be the required number.

According to the question, we have

4(x + 5) = 32

4x + 20 = 32

4x = 12

x = 3

**Hence the required number is 3.**

**Problem 8 : **

Write the given verbal phrase into algebraic expression

**"6 times the sum of three different numbers"**

**Solution :**

Let "x" ,"y" and "z" be the two different numbers.

Then,

The sum of three different numbers = x + y + z

6 times the sum of three different numbers = ** 6(x + y + z) **

**Problem 9 : **

If 7 times the sum of 3 times of a number and 6 is 147, find the number.

**Solution :**

Let "x" be the required number.

According to the question, we have

7(3x + 6) = 147

21x + 42 = 147

21x = 105

x = 5

**Hence the required number is 5.**

**Problem 10 : **

If 9 times the sum of 7 and 4 times of a number is 135, find the number.

**Solution :**

Let "x" be the required number.

According to the question, we have

9(7 + 4x) = 135

63 + 36x = 135

36x = 72

x = 2

**Hence the required number is 2.**

After having gone through the stuff given above, we hope that the students would have understood "Distributive property of multiplication over addition worksheets".

Apart from the stuff given above, if you want to know more about "Distributive property of multiplication over addition worksheets",please click here.

If you need any other stuff in math, please use our google custom search here.

Widget is loading comments...

You can also visit our following web pages on different stuff in math.

**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**

**Trigonometry 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**