1.2 solving multistep equationsmrsmichellenoble.weebly.com/uploads/1/1/0/8/110896477/1... ·...

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1.2 Solving Multistep Equations with work 1 May 293:44 PM WARMUP 1. May 3012:35 PM 1.2 Solving MultiStep Equations Essential Question: How can you use multistep equations to solve reallife problems? What you will learn: Solve multistep linear equations using inverse operations. Use multistep linear equations to solve reallife problems. Use unit analysis to model reallife problems. May 3012:43 PM Steps to Solving a MultiStep Equation: Simplify each side, CLT. Use inverse operations to get the variable alone. SADMEP **TIP** solve vertically to make LESS careless mistakes!! May 3012:46 PM Examples: a) 2.5x 13 = 2 b) 12 = 9m 6m + 15 May 3012:48 PM Practice: 1) 2n + 3 = 9 2) 3) 2v 10v + 12 = 18 May 3012:50 PM Solving Using 2column Proof Method Justify your reasoning for your mathematical choice at every step. This is great for partial credit and fixing mistakes! Example 1: 2(1 x) + 3 = 8 Statement Reasons 1. 2(1 x) + 3 = 8 1. Given ***Number each line, twice!!***

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Page 1: 1.2 Solving MultiStep Equationsmrsmichellenoble.weebly.com/uploads/1/1/0/8/110896477/1... · 2019-09-11 · 1.2 Solving Multistep Equations with work 3 May 301:45 PM DAY TWO One and

1.2 Solving Multistep Equations with work

1

May 29­3:44 PM

WARM­UP

1. 

May 30­12:35 PM

1.2 Solving Multi­Step EquationsEssential Question: How can you use multi­step equations to solve real­life problems?

What you will learn:• Solve multi­step linear equations using inverse operations.

• Use multi­step linear equations to solve real­life problems.• Use unit analysis to model real­life problems.

May 30­12:43 PM

Steps to Solving a Multi­Step Equation:Simplify each side, CLT.

Use inverse operations to get the variable alone.

SADMEP**TI

P**

solve vertically to make LESS careless mistakes!!

May 30­12:46 PM

Examples:

a) 2.5x ­ 13 = 2 b) ­12 = 9m ­ 6m + 15

May 30­12:48 PM

Practice:1) ­2n + 3 = 9 2) 

3) ­2v ­ 10v + 12 = 18

May 30­12:50 PM

Solving Using 2­column Proof MethodJustify your reasoning for your mathematical choice at 

every step.

This is great for partial credit and fixing mistakes!

Example 1: 2(1 ­ x) + 3 = ­8Statement Reasons

1. 2(1 ­ x) + 3 = ­8 1. Given

***Number each line, twice!!***

Page 2: 1.2 Solving MultiStep Equationsmrsmichellenoble.weebly.com/uploads/1/1/0/8/110896477/1... · 2019-09-11 · 1.2 Solving Multistep Equations with work 3 May 301:45 PM DAY TWO One and

1.2 Solving Multistep Equations with work

2

May 30­12:55 PM

Example 2:statements reasons

1. Given1.

May 30­12:58 PM

Practice:4) 13 = ­2(y ­ 4) + 3y

1) 13 = ­2(y ­ 4) + 3y 1) Given

5) 2x(5 ­ 3) ­ 3x = 5

1) Given1) 2x(5 ­ 3) ­ 3x = 5

May 30­1:01 PM

Solving Real­Life ProblemsUnderstand the Problem

Make a Plan

Solve the Problem

Check/Look Back

Example:The formula                   relates the nozzle pressure n (in pounds per square inch) of a fire hose and the maximum horizontal distance the water reaches d (in feet). How much pressure is needed to reach a fire 50 feet away?

May 30­1:24 PM

Example:Your school's drama club charges $4 per person for admission to a 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?

May 30­1:27 PM

Practice 6: You have 96 feet of fencing to enclose a rectangular pen for your beef cows. To provide sufficient standing space for your cattle to all fit, the pen should be three times as long as it is wide. Find the dimensions of the pen.

May 30­1:29 PM

HW: Pg. 16: 1 ­ 41 (o), 57 ­ 65

58. 9 ­ 2b

60. a) x = ­1

62. b) x = 2

64. b) x = 2

Page 3: 1.2 Solving MultiStep Equationsmrsmichellenoble.weebly.com/uploads/1/1/0/8/110896477/1... · 2019-09-11 · 1.2 Solving Multistep Equations with work 3 May 301:45 PM DAY TWO One and

1.2 Solving Multistep Equations with work

3

May 30­1:45 PM

DAY TWO One and Two Step Equation Maze Activity. When you have AT LEAST two completed, turn your work in to earn credit, and start working on your book work!

HW: Pg. 16: 1 ­ 41 (o), 57 ­ 65

May 30­1:47 PM

Exit Slip Requirements1) e­mail four pictures to [email protected]

2) What was the toughest part of today's activity?

3) How did your group first start to sort?

4) Make an equation and work it out. I will use this problem     next year.

Work on your book work when you are done!

HW: Pg. 16: 1 ­ 41 (o), 57 ­ 65