Combining Like Terms

Combining Like Terms

AKA simplifying expressions

Let's start off with some vocabulary!

Do you already know any of these words?

coefficient

constant

variable

expression

equation

terms

Multiple Choice

In the following expression, the number 5 is an example of a _____________?

- 7x + 5y + 11

• term

• constant

• coefficient

• variable

Expressions vs Equations

Before solving an equation, it is helpful to simplify each expression.

We simplify by combining like terms... but what does that mean?

Term - one piece of an expression

If expressions are sentences,

terms are the individual words.

The example shown has 3 terms.

The sign before each term tells you if the term is positive or negative.

Like Terms - terms that look alike!

Look for terms with constants, or terms with the same variable

We can combine like terms to simplify long expressions.

Multiple Choice

Simplify by combining like terms:

d + d + d + 3 + 2

• 3d + 5

• d + 5

• 2d + 7

• 3d + 4

Multiple Choice

Simplify by combining like terms:

2x + 1 + 7x

• 10x

• 10

• 9x + 1

• 9 + 1x

Multiple Choice

Let's kick it up a notch!

Start by identifying all the like terms, then combine.

Pay attention to the signs before each term!

6f + 3 - 4f + 5 + 10f

• 20f

• 12f + 8

• 24f + 8

• 28 + f

Multiple Choice

Simplify by combining like terms:

-r - 10r

• 11r

• -11r

• 9r

• -11

Multiple Choice

Simplify by combining like terms:

6x + 4y - x + 4y

• 15

• 13y

• 5x + 8y

• 14y - 1

Multiple Choice

This time, you need to distribute THEN combine like terms!

3(y + 5) - 2y

• 5y + 5

• 6y

• 5y + 15

• y + 15

Nice job!

Now you will complete an independent Quizzizz to practice your skills!