Free Printable Distributive Property

Worksheets

Distributive Property

Total questions: 20

Worksheet time: 46mins

Name

Class

Date

Use the distributive property to rewrite the expression in expanded form.
8 (7 + 2)

(8 x 7) + (8)

56 + 16

(8 x 7) + (8 x 2)

Use the distributive property to rewrite the expression in factored form.
(13 x 3) + (9 x 13)

3 (9 + 13)

13 (3 + 9)

9 (3 + 13)

Do Not Pick This One

The number written in red is called the ________.
17 (9 - 4) = (17x9)-(17x4)

addend

common factor

common multiple

red number

Rewrite this equation using the distributive property
3 (9+4)

(3+9) x (3+4)

(3x9) + (3x4)

(3x4) + (9x4)

(3+4) x (9+4)

Use the distributive property to represent these addends as the product of their GCF and two numbers.
28+70

2(14+35)

14(2+5)

7(4+10)

1. Use the distributive property of operations and choose the correct equivalent expression (Sum of 2 or more Addends) for the given expression. 7(13 + 21+4)

7(38)

91+147+28

93+142+27

Use the distributive property to represent these addends as the product of their GCF and two numbers.:
45 + 30

5 ( 9+ 6)

3 ( 15 + 10)

15 (3 + 2)

1 (45 + 30 )

Based on the distributive property, which of the following is equivalent to $5\left(2+3\right)$

$5\left(2\right)+5\left(3\right)$

$5\times2+3$

$5^2+5^3$

$5+2+3$

Which of these statements is true?

All numbers have 4 factors.

2 is a factor of every number.

1 is a factor of every number.

All odd numbers have an odd number of factors.

10.

How can -3(2+5) be expressed using the distributive property?

-3(2)+5

3(2) - 3(5)

-3(2)+3(5)

-3(2)+-3(5)

11.

What is the distributive property?

For any number a, b, and c,

a (b + c) = a (c + b)

For any numbers a, b, c,

a (b + c) = ab + ac

For any numbers a, b, and c,

a (b + c) = a + (b + c)

For any numbers a, b, c,

abc = a + b + c

12.

Find the missing number using the distributive property.

35 + 20 = 5(7 + __)

13.

Using Mental Math how can we write 8x52 using Distributive Property?

(8x30)+(8x2)

(8x50)+(8x2)

(8x5)+(8x2)

(8x50)x(8x2)

14.

Which is an example of the distributive property?

2+3=3+2

5+0=5

3(x-2)=3x-6

(1+3)+4=(4+1)+3

15.

Which is an expression for the area of the largest rectangle?

4(3 + 6)

3(6 +4)

6(3 + 6)

A = L x W

16.

Which is an expression for the area of the largest rectangle?

2(7 + 6)

2(7 +1)

7(2 + 4)

Berlin is the capital of Germany.

17.

Which is an expression for the area of the largest rectangle?

2(7 + 6)

7(2) + 7(4)

4(4) + 7(4)

The koala is Mr. Schulze's favorite animal.

18.

Which is an expression for the area of the largest rectangle?

4(3) + 4(6)

3(4) + 3(6)

6(3) + 6(4)

The Nile River is the longest river in the world.

19.

What is the longest river in the world?

The Nile.

The Amazon.

The Dhahran River.

The Danube.

20.

What is the capital of Germany?

Amsterdam

Riyadh

Berlin

Moscow

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Distributive Property

Total questions: 20

Worksheet time: 46mins

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