# DISTRIBUTIVE PROPERTY OF MULTIPLICATION OVER SUBTRACTION WORKSHEETS

## About "Distributive property of multiplication over subtraction worksheets"

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

Distributive property of multiplication over subtraction is a very useful property that lets us simplify expressions in which we are multiplying a number by the difference of two other numbers.

The property states that the product of a number and the difference of two other numbers is equal to the difference of the products.

More clearly, ## Distributive property of multiplication over subtraction worksheets - Problems

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)

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

6. Write the given verbal phrase into algebraic expression

"3 times the difference of two different numbers"

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

8. Write the given verbal phrase into algebraic expression

"6 times 3 less than 4 times of a number"

9If 7 times 6 less than 3 times of a number is 147, find the number.

10. If 9 times the difference of 7 and 4 times of a number is 27, find the number.

## Distributive property of multiplication over subtraction worksheets - Answers

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)  =  56

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)

Solution :

5(x² - y²)  =  5x² - 5y²

Problem 5 :

Evaluate using distributive property : m(m² - m)

Solution :

m(m² - m)  =  m.m² - m.m

m(m² - m)  =  m³m²

Problem 6 :

Write the given verbal phrase into algebraic expression

"3 times the difference of two different numbers"

Solution :

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

Then,

The difference of two different numbers  =  x - y

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

Problem 7 :

If 4 times the difference 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  =  52

x  =  13

Hence the required number is 13.

Problem 8 :

Write the given verbal phrase into algebraic expression

"6 times 3 less than 4 times of a number"

Solution :

Let "x" be the number.

Then,

4 times of number  =  4x

3 less than 4 times of number  =  4x - 3

6 times 3 less than 4 times of a number  =  6(4x - 3)

6 times 3 less than 4 times of a number  =  24x - 18

Problem 9 :

If 7 times 6 less than 3 times of a number 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  =  189

x  =  9

Hence the required number is 9.

Problem 10 :

If 9 times the difference of 7 and 4 times of a number is 27, find the number.

Solution :

Let "x" be the required number.

According to the question, we have

9(7 - 4x)  =  27

63 - 36x  =  27

36  =  36x

1  =  x

Hence the required number is 1.

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

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

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

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

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

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

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

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

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

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

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

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6 