1. Chapter 7 Solving Two-Step Equations
Algebra Concepts
Chapter 7
Solving Two-Step Equations

2. When you solve for the variable in an equation, you “unwrap” the variable
You want the variable alone on one side of the equation.

3. Wrapping/Unwrapping a Gift
#1 Put item in box #2 Put lid on the box #3 Wrap box in paper #4 Put a bow on the box
#1 Take bow off the box #2 Take paper off the box #3 Take lid off the box #4 Take item out.

4. Steps are in reverse order
Steps are opposite operations

5. Addition↔Subtraction Multiplication↔𝐃𝐢𝐯𝐢𝐬𝐢𝐨𝐧
The reverse order of operations is
S A D M E P
Opposite Math Operations
Addition↔Subtraction
Multiplication↔𝐃𝐢𝐯𝐢𝐬𝐢𝐨𝐧

6. Solve for x
2𝑥−5=7
2𝑥 = 12
÷ ÷2
𝑥 =

7. What you do to one side of the equation, you __________________________.
Follow this pattern
Do something, do something
Write a new equation

8. This is like peeling off the layers of an onion.

9. 2 3 𝑐+1=5 −1 −1 2 3 𝑐 =4 ∙ 3 2 ∙ 3 2 𝑐 = 6

10. Another way to think about this!
If you have two friends and you can only take one on a trip with you, who do you keep the close friend or the not so close friend?

11. close friend not-so-close friend
Solve for x.
4𝑥+3=18
close friend not-so-close friend
So get rid of the 3 first!

12. Be careful!
Solve for x 7−𝑥=10 Do something #1 −7 −7 What is the new equation?

13. Try these.
#1 4𝑥−5=11 #2 18=3𝑥+3 #3 −2𝑥+9=−15 #4 15=6−𝑥 #5 𝑥 3 +4=0

14. Mike has $42 saved and is saving $15 a week to buy a sport jersey
Mike has $42 saved and is saving $15 a week to buy a sport jersey. The jersey costs $147 (including tax) How many weeks (w) will it take to have enough money to buy the jersey?