1. Solve each equation & check your answer. 1) 2)
Warm-up:
Solve each equation & check your answer. 1) 2) ✔ ✔

2. Warm-up Continued…
What is the LCD of the following fractions? 3) 4) 5)

3. Solving Two-Step Equations: Algebra Tiles, Friendship Analogy, & MORE
Interactive
Algebra

4. Creating an Equation & then Undoing It
Creating an Equation: Undoing to Solve:
(2)
(2)
– 5
– 5
5 +
+ 5 2 2 G E
M/D
A/S
REVERSE:

5. Show on the whiteboard. _____________________
Equivalent Equations
Show on the whiteboard. _____________________
Equivalent equations have the same solutions.
All of these
have the SAME
SOLUTION:
x = 6
Ask students to give you a number between 1-10 to multiply to both sides of the equation x=6. Then write the equivalent equation on on the line. Then ask students for a number between that should be subtracted from both sides. Then write this equivalent equation on the next line. Explain and show that the solution for all of these equations is x = 6 because they have remained balanced by doing the same thing to both sides.

6. Two step equations with algebra tiles:
No need to draw or write these. Just demonstrate with algebra tiles:
Equation:
0 =
Create ZERO pairs

7. Two step equations with algebra tiles:
No need to draw or write these. Just demonstrate with algebra tiles:
Equation:
Create ZERO pairs

8. Two step equations with algebra tiles:
No need to draw or write these. Just demonstrate with algebra tiles:
Equation:

9. Two-Step Equation Friendship Comparison
You
Other
side of
the scale
(outside the
party)
Best friend
(coefficient)
Just a friend
(constant)

10. Two-Step Equation Friendship Comparison
You
Other
side of
the scale
(outside the
party)
Best friend
(coefficient = ¼)
Just a friend
(constant)

11. EXAMPLE 1: Solving Two-Step Equations
Solve each equation.
1A) ✓ for balance:
– 10
– 10 4 4 ✓

12. EXAMPLE 1: Solving Two-Step Equations
Solve each equation.
1B) ✓ for balance: –2 –2 –5 –5 ✓

13. EXAMPLE 2: Solving Two-Step Equations that Contain Fractions
1C) ✓ for balance:
+11
+11
(4)
(4) ✓

14. EXAMPLE 2: Solving Two-Step Equations that Contain Fractions
Solve each equation.
Method 1:
____________________________
Multiply by the LCD: CLEAR the fractions. 8 8
( )
( ) 2 2 +6 +6

15. EXAMPLE 2: Solving Two-Step Equations that Contain Fractions
Solve each equation.
Method 2:
____________________________
Use fraction operations
Circle or *
the method you
like the best. 2

16. ✓ for balance: ÷2 ÷2 ✓

17. EXAMPLE 2: Solving Two-Step Equations that Contain Fractions4 3 1
(12)
(12)
(12)
2A) Which method should we use? –9 –9 8
What LCD should we use for Method #1?
✓ for balance: 1 4 ✓

18. EXAMPLE 2: Solving Two-Step Equations that Contain Fractions–5 3 5
(15)
(15)
(15)
2B) ________________ Which method should we use? +5 +5 3 3
What LCD should we use for Method #1?
✓ for balance: ✓

19. Practice: +5.7 +5.7 1.2 1.2 ✓ Solve each equation.
1)_____________________ ✓ for balance:
+5.7
+5.7
1.2
1.2 ✓

20. Practice: Binder Paper2) –5 –5
(-4)
(-4)

21. What should you do first?
+ 3
+ 3

22. What should you do first?
–12
–12

23. What should you do first?
(3)
(3) –6 –6
What would you do second?

24. What should you do first?8 8
( )
( )

25. What should you do first?14 14
( )
( )