Warm UpSimplify the expression.

1) 4)

2) 5)

3) 6)

Section 1.2: Solving Multi-Step Equations

Students will solve multi- step linear equations using inverse operations. Students will use unit analysis to model real-life problems.

Example 1: Solve

Ask yourself how am I going to isolate the variable.

+13 +13 Add 13 to both sides.

x is still not alone.

Divide both sides by 2.5

x=6 Simplify your answer

How do you think we will check this?

Ex 2: Solve for r. Check your solution.

-3 -3 Subtract 3 from both sides

Divide by 1.5 from both sides

r= 8 Simplify your answer.

Check your answer.

Ex 3: Solve and check your solution.

What do you notice that is different about this equation?

Combined like terms

-15 -15 Subtract 15 from both sides.

Divide both sides by 3

x=-9 Simplify your answer

Check your work.

-12 = -12

Ex 4: Solve and check your solution.

Try these…

n= -3 c= -20 x= -1/2

Day 2

Using structure to Solve a Multi-Step Equation

Ex1. Solve and check you work

Distribute the 2 (Distribute Property)

Combined like terms

-5 -5 Subtract 5 from both sides

Divide both sides by -2

x= Simplified

Check your answer.

There is a second method to solve this.

*Divide first

Ex. 2: Solve and check your answers.

Show it both ways

n=14

More Practice

Challenge yourself:

x=1

Ex 3:

Days Miles

Monday 3.5

Tuesday 5.5

Wednesday 0

Thursday 5

Friday x

1. Understand the problem.How do we find the mean?

2. Make a plan.Use what we know about mean to solve the problem.

3. Solve the problem.=5

(5)

14 + x = 25-14 -14X = 11

4. Look back.Does our answer make sense?

Use the table to find the number of miles x you need to bike on Friday so that the mean number of miles biked per a day is 5.

Ex 4: Your school’s drama club charges $4 per person for admission to play. The club borrowed

$400 to pay for costumes and props. After paying back the loan, the club has a profit of $100. How many people attended the play?

1. Understand the problem.What is important to us? What are we being asked?

2. Make a plan.How should we go about solving this?

3. Solve the problem.

4 x- 400= 100

How many people attended the play?

Solve for x

x= 125

4. Look back.1. What happens when we multiply 4 by 125?

Try This… You have 96 feet of fencing to enclose a rectangle pen for your dog. To provide sufficient running

space for the dog to exercise, the pen should be three times as long as it is wide. Find the dimensions of the pen.

1. Understand the problemWhat do we know about a rectangle?

2. Make a planDraw a picture

3. Solve the problem

3x + x = 96

4x = 96

x= 24 ***Remember perimeter = l+w+l+w=96

24/2=12

Dimensions are 36 ft by 12 ft/

4. Look backAdd 36+36+12+12= ???

3x

x