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Basic 2-Step Equations 10/1/13
 A lot like 1-step equations!
 Goal: Get x by itself!
 Need to “undo” what is done to x.
 Always do the same thing to BOTH

SIDES!
 Use Order of Operations backwards:
 Add/Subtract first
 Multiply/Divide last
Examples:
4x + 7 = 27

– 6 – 2y = 10
You Try!
Solve each equation. Check your
answers!

-3x + 7 = 16

-8 = 2a + 2
5 = 7r - 2

-4 = 2 - m
Combining Like Terms 10/7/13
 What are “like terms”?
 Must have the same variable, or

have no variable.
 Terms without a variable are called
“constants.”
 Remember: Variables are letters!
 The number before the letter is called
the coefficient.
 Which are like terms?

2x – 6 + 9y + 2 – 6x + 2y

To combine like terms:
 Circle, underline, or box the like terms
 Minus signs go with the next #

 Add their coefficients!
 Examples:
 Simplify each expression.

 4x + 2 – 2x + 1

 8y – 4 + 3y
 -7 + 3m – 4 – m
You Try!
 Simplify.
 5x + 3 – 2x + 1
 8x – y + 9 – 2y

 a + 2a – 5 + b + 2b
You Try!
 Simplify:
 4m – 2n + 9 – 4m – 5
The Distributive Property 10/8/13
The distributive property tells us how

to simplify expressions like: 2(x – 1)
We distribute the outside number to
both inside terms.
Like this:
Remember: “ab” means “a times b”
Examples:
Simplify.
3(2x + 1)

-2(4 – 3y)
You Try!
Simplify.
4(3x + 5)

-6(3 – 2v)
More Examples:
 -(-m + 4)

 (1 + 7b)6
You Try!
 -(-z + 5)

 (4 – 3y)5
Simplifying Expressions

10/9/13

First, distribute to get rid of all
parentheses.
Then, combine like terms.
Examples:
Simplify each expression.
3(4n + 2) + n

7x – (2x – 3) + 1
You Try!
Simplify each expression.
5(3x + 1) – 4x

4r – 6(1 + r)
-2(m + 5) + 6m – 1

4(x + 7) – 2(1 + 5x)
You Try!
 -5(2 – b) + 3b – 7

 2(3k + 6) – 4(1 – 2k)
Multi-Step Equations 10/14/13
Multi-step equations have more than 2
steps.
To solve:
 Simplify the side with the variables.
Distribute
 Combine Like Terms
 Like terms may NOT cross the = sign!


 Then, solve like a 1 or 2-step equation!
Examples:
3(– 6 + 3x) = 18

30 = -5(6n + 6)
You Try!
 -6(1 – 5v) = 54
Examples:
2x + 3x + 1 = 36

-26 = -7b + 6 + 3b
You Try!
8m – 3m + 7 = 17
Examples:
-3(1 + 6r) + r = 14
6(6v + 6) – 5 – 6v = 1
You Try!
70 = 3(-6y – 5) – 5

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