Lesson 5.7 Solving Two-Step Equations

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# Lesson 5.7 Solving Two-Step Equations - PowerPoint PPT Presentation

11 + 3p = -1. 2.6 + 4r = 9.2. b – 2 = 1 4. Objective: Students will be able to write and solve two-step equations with one variable!. Lesson 5.7 Solving Two-Step Equations. In Lesson 5.3-5.6 you solved one-step equations by using a single inverse (or opposite) operation. subtraction.

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11 + 3p = -1

2.6 + 4r = 9.2

b – 2 = 1

4

Objective: Students will be able to write and solve two-step equations with one variable!

### Lesson 5.7Solving Two-Step Equations

In Lesson 5.3-5.6 you solved one-step equations by using a single inverse (or opposite) operation.

subtraction

The inverse operation of addition is _________.

The inverse operation of subtraction is _______.

The inverse operation of multiplicationis_________.

The inverse operation of division is ____________.

division

multiplication

x7

d + 4 = -9

r - 18 = -26

a = -3

7

x7

4y=32

:

:

- 4 -4

+18 +18

4 4

r = -8

a = -21

d = -13

y = 8

Now it’s time for the fun to begin!

Solving Two-step Equations

2x + 5 = -3

What is on the same side of the equal sign as the variable x ? And what mathematical operations are being done to the variable?

- 5 -5

:

:

2x = -8

2 2

X = -4

:

Now you have created a one-step equation which you already know how to solve!

2(-4) + 5 = -3

Rule #1: ALWAYS UNDO ADDITION OR SUBTRACTION FIRST

(This turns your equation into a one-step equation.)

-8 + 5 = -3

-3 = -3

Rule #2: Undo Multiplication or division after addition or subtraction!!!!

You Did It!

-5x + 7= -3

Hey! Now it is a one-step equation

Which you know how to solve!

What is on the same side of the equal sign as the variable x ?

- 7 -7

-5x = -10

:

:

-5 -5

• x = 2

And what mathematical operations are being done to the variable x ?

Check: -5 (2) + 7 = -3

What mathematical operation do you do the inverse of first?

-10 + 7 = -3

-3=-3

Yeah!

Let’s Practice a few

Do: Practice 5.7