1. Solving two-step and multi-step equations
Algebra 2.3
Solving two-step and multi-step equations

2. Learning Targets
Language Goal Students will be able to explain how to solve multi-step equations. Math Goal Students will be able to use inverse order of operations to solve multi-step equations. Essential Question Why do we use the inverse order of operations to solve multi-step equations?

3. Warm-up

4. Homework Check 2.1 WS

5. Homework Check 2.1 Ws

6. Homework Check 2.2 WS

7. Homework check 2.2 WS

8. Homework Check Book

9. Homework Check Book

10. Guided Notes Steps to Solving a Linear Equation:
**Goal: Isolate the Variable!!
Simplify each side of the equation if needed (combine like terms on the same side of the equal sign)
-Remember that you may need to use the distributive property before combining like terms.
-Be careful when distributing a negative sign.
Use inverse order of operations to isolate the variable.
-Order of operations tells us to multiply and divide first then add and subtract
-Therefore the inverse of the order of operations is FIRST Add or Subtract
SECOND Multiply or Divide
Always Check your work!!!
***Work carefully and do all your work on the paper! This helps to eliminate errors!

11. Example 1: Solving Two-step Equations
10 = 6 – 2x Explain Steps Check!

12. Example 1: Solving Two-step Equations
-4 + 7x = 3 Explain Steps Check!

13. Example 1: Solving Two-step Equations
𝑛 7 +2=2 Explain Steps Check!

14. Example 2: Solving Two-step Equations that contain Fractions
𝑞 15 − 1 5 = Explain Steps Check!

15. Example 2: Solving Two-step Equations that contain Fractions
2𝑥 5 − 1 2 =5 Explain Steps Check!

16. Example 2: Solving Two-step Equations that contain Fractions
3 4 𝑢+ 1 2 = Explain Steps Check!

17. Example 3: Simplifying before solving Equations
6𝑥+3−8𝑥=13 Explain Steps Check!

18. Example 3: Simplifying before solving Equations
9=6−(𝑥+2) Explain Steps Check!

19. Example 3: Simplifying before solving Equations
2𝑎+3−8𝑎=8 Explain Steps Check!

20. Example 5: Solving Equations to find an indicated value
If 3a + 12 = 30 find the value of a +4 Step 1: Find the value of a Step 2: Find the value of a + 4

21. Example 5: Solving Equations to find an indicated value
If 2x+ 4 = -24 find the value of 3x Step 1: Find the value of x Step 2: Find the value of 3x

22. Pass out and do as a class!
Explain your step WS
Pass out and do as a class!

23. Poster Project
2.3 Solving Multi Step Equations Poster Requirements Your poster should include: * A creative title * 4-5 notes on how to solve multi step equations * 3 example problems that are not ones we did in class (these should be solved on your poster) * Have explanations along side of all 3 example problems explaining what you did or why you did that step when solving. * A visual representation to match an example problem. * Explanation of your visual representation * Make sure you are neat * Use at least 4 colors to help organize all your information * Double check your work so all information is accurate! ** This poster is worth a quiz grade!

24. Lesson Quiz