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

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

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

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:

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 20-40 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.

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

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

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

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

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

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

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

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

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

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

✓ for balance: ÷2 ÷2 ✓

EXAMPLE 2: Solving Two-Step Equations that Contain Fractions 4 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 ✓

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: ✓

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

Practice: Binder Paper 2) –5 –5 (-4) (-4)

What should you do first? + 3 + 3

What should you do first? –12 –12

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

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

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