2-3 Solving Multi-Step 2-3 Solving Multi-Step EquationsEquations

CCSS: A.REI.1, A.REI.3CCSS: A.REI.1, A.REI.3

Example 1Example 111 4 29

75

8

2 6 4

115

2

x

a

a

n

Example 1 Continued…Example 1 Continued…6 8 24

26 24

3

365 7

4

5 3 1

2 4 2

m

b

c

z

Example 2: REAL WORLDExample 2: REAL WORLD

Hiroshi is buying a pair of water skis that Hiroshi is buying a pair of water skis that are on sale for 2/3 of the original price. are on sale for 2/3 of the original price. After he uses a $25 gift certificate, the total After he uses a $25 gift certificate, the total cost before taxes is $115. What was the cost before taxes is $115. What was the original price of the skis? Write an original price of the skis? Write an equation and solveequation and solve

Example 3: Consecutive IntegersExample 3: Consecutive Integers

Find three consecutive odd integers with a Find three consecutive odd integers with a sum of -51.sum of -51.

Find three consecutive integers with a sum Find three consecutive integers with a sum of 21of 21

Example 4: REAL WORLDExample 4: REAL WORLD

Among the career home run leaders for Among the career home run leaders for MLB, Hank Aaron has 175 fewer than MLB, Hank Aaron has 175 fewer than twice the number that Dave Winfield has. twice the number that Dave Winfield has. Hank Aaron hit 755 home runs. Write an Hank Aaron hit 755 home runs. Write an solve an equation for the number that solve an equation for the number that Dave Winfield has.Dave Winfield has.

Example 5: Common CoreExample 5: Common Core

The ages of three brothers are The ages of three brothers are consecutive integers with the sum of 96. consecutive integers with the sum of 96. How old are the brothers?How old are the brothers?

Example 6: REAL WORLDExample 6: REAL WORLD The Cell+ Cellular Phone store offers the plans shown in The Cell+ Cellular Phone store offers the plans shown in

the table. Raul chose the business plan has budgeted the table. Raul chose the business plan has budgeted $100 per month. Write an equation for this situation, and $100 per month. Write an equation for this situation, and determine how many minutes per month he can use the determine how many minutes per month he can use the phone and stay within budget.phone and stay within budget.

PlanPlan Flat Fee Flat Fee MonthlyMonthly

AnytimeAnytime

MinutesMinutes

Cost per Cost per minute minute overover

PersonalPersonal $29.99$29.99 250250 $0.20$0.20

BusinessBusiness $49.99$49.99 650650 $0.15$0.15

ExecutiveExecutive $59.99$59.99 12001200 $0.10$0.10