Equivalent Equations

You can simplify an expression that is equal but may not be written the same way.

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​Some text here about the topic of discussion.

​Equivalent

Expressions

means...​

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​Some ways to create an equivlaent expression are...

Multiple Choice

5 (6x +3)

• 5

• 56x + 15

• 30x + 15

• 56x + 53

Multiple Choice

8x + 32

• 8 ( x + 4)

• 8x +32

• 2 (4x +16)

Multiple Choice

12p + 7c +3c - 6

• 6p+10c

• 16pc

• 10c + 6p

​One way to find Equivalent Expressions are ...

​Distributive property

To simplify an expression using the distributive property, __________

the quantity in front of the parentheses ​by each ______ inside the parentheses.

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4 ( x + y) = ​

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Multiple Choice

To simplify an expression using the distributive property, __________

the quantity in front of the parentheses ​by each term inside the parentheses.

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• add

• subtract

• multiply

• divide

Multiple Choice

9 (4x - 7 y)

• 36x -63y

• 63y -36x

• 13x -2y

• 20xy

Multiple Choice

$$\frac{2}{5}\left(15r\ -5s\right)\$$

• $$\frac{30}{5}r\ -\frac{10}{5}s$$  

• 6r - 2s

• 30r - 10s

• 20rs

​A Second way to find Equivalent Expressions...

​Factor the Expression

​A factor is a number that is _____________ by another number to get a product.

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To factor an expression, find the _______ _______ _______​ and rewrite the expression as the product of that factor.

What is left when you divide each term by that factor. ​

Multiple Choice

A factor is a number that is _____________ by another number to get a product.

• multiply

• add

• subtract

• divide

Multiple Choice

To factor the expression, find the ____________

and rewrite the expression as the product of that factor.

• answer

• Prime

  number

• Least

  Common

  Multiple

• Greatest

  Common

  Factor

Multiple Choice

9y + 18y

• 9 (y + 6y)

• 9(y) + 18 (y)

• 3y ( 3 + 6 )

• 27y

​The third way to find an Equivalent Expression is...

​Combining Like Terms

You can only combine terms that have the _____ ___________.

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Ex: Are 4x and 4xy equivalent ?

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Are 6y and 12y the same ? ​

Multiple Choice

You can only combine terms that have the _____ ___________.

• same

  constant

• same

  coefficient

• same

  number

• same

  variable

Multiple Choice

10x -8x +2 +10

• 14 x

• 2x + 2 + 10

• 12 + 2x

• 2x +12

​How do we find equivalent equations?

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