I can combine like terms to write a simplified expression

I can write equivalent expressions

and Combine like terms

Algebraic expressions are made up of

• Coefficient

• Variable

• Constant

Multiple Choice

Identify the constant in 5x - 3

• 5

• x

• 3

Multiple Choice

Identify the coefficient in 5x - 3

• 5

• x

• 3

Multiple Choice

Identify the variable in 5x - 3

• 5

• x

• 3

Multiple Choice

Identify the constant in 25a - 87

• 25

• a

• 87

Multiple Choice

Identify the variable 15y + 16

• 15

• y

• 16

Multiple Choice

Identify the coefficient in 9k + 15

• 9

• k

• 15

Like Terms have something in common

• they may have the same variable

• or they may be constants

• In either case it means we can add/subtract them

3a + 2a = 5a

Multiple Choice

9x + 4x

• 13x

• 94x

• 36x

Multiple Choice

9x - 4x

• 94x

• 5x

• 36x

Multiple Choice

8r + 12r

• 812r

• 96r

• 20r

Multiple Choice

18r - 12r

• 1812r

• 6r

• 20r

3a + 2b does not equal 5ab

Do you see which are like terms?

you can add the x terms together and the constants together

Multiple Choice

3x + 7x

• 37x

• 21x

• 10x

Multiple Choice

6 + 3

• 63

• 18

• 9

Multiple Choice

3x + 7x + 6 + 3

• 10x + 63

• 10x + 9

• 10x + 18

• 19x

How many different kinds of terms do you see?

How many kinds of terms do we have?

Multiple Choice

How many kinds of terms are there?

• 0

• 1

• 2

• 3

Multiple Choice

Name the 3 kinds of terms you see?

• x terms

• y terms

• constants

• x terms, y terms and constants

Let’s rearrange the expression such that similar terms are adjacent or close to each other. This allows us to have a “laser” focus on which terms to add or subtract.

Rearrange so like terms are next to each other

• identify the like terms (use color)

• re-write the expression by taking the sign to the left of the term.

Multiple Choice

Rearrange so like terms are next to each other

• 9y -2y -4x -3x +3 -5

• 9y -4x -3x +3 -5 -2y

• 9y -4x -5 -3x +3 -2y

Multiple Choice

Combine like terms

9y -2y -4x -3x +3 -5

• 9y -2y -4x -3x -2

• 9y -2y -7x -2

• 7y -7x -2

Multiple Choice

Find the sum of 2x + 1 and 5x.

• 2x + 1 + 5x

• 5x + 2x + 1

• 7x + 1

Multiple Choice

Find the sum of -3a + 2 and 5a – 3

• -3a + 2 + 5a - 3

• -3a + 5a +2 -3

• 2a + 2 -3

• 2a -1

• 2a + 1

Multiple Choice

Find the product of 2x and 3

• 2x(3)

• 6x

• 2x * 3