Warm-up: Solve each equation. 1)2) Evaluate each expression. 3)4) Simplify each expression 5)6) 7) x = – 4 y = –0.8 – 4 11c m – 4m + 14 m + 14

Solving Multi-Step Equations Ms. Wooldridge 2012

Multi-Step Equation Friendship Comparison Best friends Just a friend Enemy You Outside the Crabby Patty

EXAMPLE 1: Solving Multi-Step Equations 1A) ✓ for balance: –1 –2 ✓

EXAMPLE 1: Solving Multi-Step Equations 1B) ✓ for balance: ✓

EXAMPLE 1: Solving Multi-Step Equations 1C) ✓ for balance: –2 –4 ✓

EXAMPLE 1: Solving Multi-Step Equations 1D) ✓ for balance: – ✓

Algebra Tiles with Multi-Step Equations ✓ =

✓ =

Try these with Algebra Tiles = =

Try this with algebra tiles: 2(x – 2) – x – 1 = –5 =

EXAMPLE 2: Simplifying Before Solving Equations 2A) ✓ for balance: +21 SIMPLIFY: Combine like terms ✓

EXAMPLE 2: Simplifying Before Solving Equations 2B) ✓ for balance: –8 Combine like terms –8 –4 ✓

EXAMPLE 2: Simplifying Before Solving Equations 2C) ✓ for balance: +6 Combine like terms +6 –2 ✓ 1

EXAMPLE 3: Simplifying Using the Distributive Property 3A) OR

Ex 3A) Check for balance: ✓

Example where dividing instead of using the Distributive Property is not best Best method: Avoid fractions throughout the problem:

EXAMPLE 3: Simplifying Using the Distributive Property ✓ for balance: 3B) ✓ 1

Geometry Application Write and solve an equation to find the value of x for each triangle. (Hint: The sum of the angle measures in any triangle is _____ degrees) 1) 180 –90 3 3

Geometry Application Write and solve an equation to find the value of x for each triangle. (Hint: The sum of the angle measures in any triangle is _____ degrees) 2) 180 –40 4 4

Solve each equation. Check your answer. 3) ✓

Solve each equation. Check your answer. 4) ✓

Solve each equation & check your answer. 5) ✓ for balance: –4 2 2 ✓

Section 2-3 continued on Binder Paper: 6) 1 –11 5 5

Complete the following practice problems on binder paper: Solve each equation. Check your answer. 7) – ✓

✓ for balance: Warm-up: Solve each equation. 1)2) 3) y = – 0.5 ✓

Translating Words to an Equation. Write an equation to represent each relationship. Then solve. 1) Four times the difference of a number and 5, minus 2 times the number, is equal to –21.

Translating Words to an Equation. Write an equation to represent each relationship. Then solve. 2) One-third a number added to quadruple the sum of the number and two-thirds equals 5. (3)

Consecutive Numbers Problem: 5) Joe, Moe, and Bobo’s ages are consecutive whole numbers. If Joe is the youngest and Bobo is the oldest. The sum of their ages is 57. Find their ages. If Joe = x,then Moe = _____ x + 1 and Bobo = _____x + 2 x + x x + 2 = 57 3x + 3 = 57 3x = 54 x = 18 Joe = 18 Moe = 19 Bobo = 20

Whiteboard Practice: 6) –12

Consecutive Numbers Problems 7) The sum of two consecutive even whole numbers is 178. What are the two numbers? If the first even # = x, then the 2 nd = x + 2 x + x + 2 = 178 2x + 2 = 178 2x = 176 x = 88 2 nd #: 90

Multi-step Equation Practice: 8) +40

Word Problems Continued… 9) A box of candy bars being sold for D.C. holds 30 bars. If the entire box costs $19.50, how much is each bar? Define the variable: ______________ Equation: ________________ Each bar costs: ____________ 30 n = price of a candy bar per candy bar

Word Problems Continued… 10) The County Fair has an admission fee of $11 and each ride costs $3.50. If your cousin says he spent a total of $39, how many rides did he go on? Define the variable: ______________ Equation: ________________ Number of rides: ____________ r = # of rides