Writing Equivalent Expressions

Presentation

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Mathematics

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6th Grade

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Practice Problem

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Medium

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CCSS

6.EE.A.3, 6.EE.A.4

Standards-aligned

Jennifer Bodily

Used 33+ times

FREE Resource

5 Slides • 7 Questions

Writing Equivalent Expressions

How can you use the Distributive Property to write equivalent algebraic expressions?

2\left(3x-1\right)

Use the Distibutive Property to write an Equivalent Expression.

$2\left(3x-1\right)$

3x - 1 is being multiplied by 2. The 2 must multiply everything inside of the paranthesis.
Which terms are multiplied together first? (2 and 3x)
$2\cdot3x=6x$
Which terms are multiplied next? (2 and -1)
$2\cdot-1=-2$
So, the expression equals 6x - 2.

Check your work: Are these equal?

2\left(3x-1\right)=6x-2

Choose a value for x. (x = 2)
Substitute and evaluate each expression.
$2\left(3\cdot2-1\right)$ = $2\left(6-1\right)$ = $2\left(5\right)$ = 10
$6\cdot2-2$ = $12-2$ = 10
Yes. These are equal.

Multiple Choice

Use the Distributive Property to write an equivalent expression by filling in the missing numbers.

2\left(x+3\right)=

_x + 6

Multiple Choice

Use the Distributive Property to write an equivalent expression by filling in the missing numbers.

6\left(4x-1\right)\ =

__x - 6

Multiple Choice

Use the Distributive Property to write an equivalent expression by filling in the missing numbers.

8x+2\ =\ 2\left(??x+1\right)

Multiple Choice

Use the Distributive Property to write an equivalent expression.

$3\left(x-6\right)$

3x - 6

3x - 18

x - 9

4x - 18

Multiple Choice

Use the Distributive Property to write an equivalent expression.

$4\left(x+7\right)$

4x + 28

4x - 28

4x + 7

4x - 7

Multiple Choice

Use the Distributive Property to write an equivalent expression.

$35x+10$

5(7x + 10)

7(5x + 2)

5(7x + 2)

7(5x + 3

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