1. Parts of an Expression/ Combining Like Terms
Algebra 1 Part 1 – Day 2
Rippling Water
(Basic)
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2. Do Now Solve the following: 10𝑥+2𝑥 −4 if 𝑥=3 4𝑎−3𝑏+2𝑎−6 if 𝑎=−2, 𝑏=1

3. Coefficient: Number next to the variable
Parts of an Expression
𝟕𝒙+𝟑−𝟓𝒙+𝟖+𝟒𝒙−𝟏 Term: A single expression separated by + or – signs
Expression
Variable Term
Constant Term
Coefficient: Number next to the variable 7𝑥 ?
variable

4. Combining Like Terms + + + 2 + + + + + 2 + + + + + + + + + + +
Is there a way to simplify this order?

5. Like Terms with Variables: Variables must MATCH
Combining Like Terms
Like Terms with Variables: Variables must MATCH + = 2
𝒙+𝒚=𝟐𝒙
𝟕𝒙+𝟑−𝟓𝒙+𝟖+𝟒𝒙−𝟏
=𝟔𝒙+𝟏𝟎
Constant Like Terms
𝟑+𝟖−𝟏 =𝟏𝟎
Variable Like Terms
𝟕𝒙−𝟓𝒙+𝟒𝒙
=𝟔𝒙
Combine Coefficients

6. Combine Like Terms w/Exponents
Multiple Variables
Variables with Exponents
2𝑎𝑏+4𝑎−2𝑏 Can I simplify this expression? 2𝑎𝑏+4𝑎𝑏−2𝑏 6𝑎𝑏−2𝑏
3 𝑥 2 − 𝑦 3 +2 𝑦 2 −5 𝑥 2
You not only look at the variable, but the exponent
Are the x variables like terms?
Yes
Are the y variables like terms? No

7. Simplify the following expression
Exit Ticket
Simplify the following expression
3 𝑥 2 𝑦+4𝑥−6𝑦+4 𝑥 2 𝑦−2𝑦