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Example: 3x + 4y + 2x + 6y

  • I am going to add my x's first. 3x + 2x = 5x
  • I'll add my y's next. 4y + 6y = 10y

So, my expression is equivalent to 5x + 10y.

ASSOCIATIVE PROPERTY

(14x + 6) + 12x

is equivalent to

(14x + 12x) + 6

because I can move my

parentheses around.

COMMUTATIVE PROPERTY

12y + 7x + 6y

is equivalent to

12y + 6y + 7x

because I can move my numbers

around when I am adding.

DISTRIBUTIVE PROPERTY

4(2x + 3y)

is equivalent to

8x + 12y.

IDENTITY PROPERTY

4x + 0

4x - 0

4x times 1

4x divided by 1

are ALL equivalent because they don't change.

OK, let's see if we've got it!

p. 497, letter e

3x + 9y + 2x

I am going to use the Commutative Property because I can move my numbers around in addition.

3x + 2x + 9y

is equivalent to

5x + 9y

Now let's do "f" together.

7(3x + y)

Let's use the __________ property.

7 times 3x is?

7 times y is?

My equivalent expression is ________.

Please try letter "g" on your own!

Please try p. 498, # 1-6 on your own.

Once you finish, fill in your Venn diagram for

"Rate Yourself" and then get ready to move

into Stations.

6.EE.3: I can identify equivalent expressions using all

4 Properties of Math.

Equivalent Expressions

Remember, you can always use your

mathematical properties to find equivalent equations!

EQUIVALENT EXPRESSIONS

ARE TWO SETS OF EXPRESSIONS

THAT EQUAL THE SAME THING.

Example: 24x is equivalent to 6(4x)

because 6 times 4x is 24x.

Example: 5(3x + 4y) is equivalent to 15x +20ybecause 5 times 3x is 15x and 5 times

4y is 20y.

Our Vocabulary

  • term
  • like term
  • coefficient
  • constant

In your IMN (Student Side), copy and label the following parts of this expression

4x + 3x + 2y + 6

CONSTANT

TERM

COEFFICIENT

LIKE TERMS

What if I have more than one variable?

LIKE TERMS CAN BE ADDED TOGETHER

TO HELP SIMPLIFY AN EXPRESSION.

In this case,

add the like terms together.

Example: 3x + 4x + 7x = 14x

When simplifying like terms,

DO NOT add the variables.

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