Combining Like Terms

Combining Like Terms

Day 1

Vocab Review

Let's review some terms that we will be using in the classroom :)

Expression

An expression contains numbers, variables, and operation symbols...NO EQUAL SIGN

Multiple Select

Which of these can be found in an expression?

• Numbers

• Operations

• Equal Sign

• Variables

Terms

Multiple Choice

The following expression contains how many terms?

$$-3x+y-2-5x$$  

• 2

• 3

• 4

• 5

Variable

A letter that stands for an unknown number.

VARIABLE TERM refers to the entire term that contains the variable (Ex: -8x)

When there is no number in front of the variable, there is a 1 there. (Ex: y is the same as 1y)

Multiple Select

In the following expression, what are the variable terms:

$$2x-3+6y-1$$  

• 2x

• -3

• 6y

• -1

Coefficient

Multiple Select

Which of the following are coefficients in this problem?

$$-2-5a+1-6b^2$$  

• -2

• -5

• 1

• -6

Constant

A number NOT connected to a variable.

Always include the sign before it .

Constants can be whole numbers, decimals, or fractions.

All constants are like-terms!

Multiple Select

What are the constants in the following problem?

$$2b^2+1-6a+4.2$$  

• 2

• 1

• -6

• 4.2

Like-Terms

Multiple Select

Which of the following are examples of like-terms?

• $$3b\ \&\ b$$

• $$6x^2\ \&\ 6x$$

• $$3\ \&\ 4.5$$

• $$6xy\ \&\ 6x^2y$$

Combining Like Terms

Use the signs in front of the terms.

Only terms that share the same variable (raised to the same power) can be combined.

Always ADD the terms together but remember to look at the signs before it!

Multiple Choice

Simplify this expression by combining the like-terms:

$$2x+7-4x$$  

• $$5x$$  

• $$-2x$$  

• $$-2x+7$$  

• $$-13x$$  

Multiple Choice

Simplify the expression by combining like-terms:

$$-3y+1+9y-4$$  

• $$3y$$  

• $$6y-3$$  

• $$12y+3$$  

Multiple Choice

Simplify the expression by combining like-terms:

$$b+3b+7$$  

• $$3b^2+7$$  

• $$3b+7$$  

• $$4b+7$$