Bell Ringer

Solve the following linear equations1. 7x=84

2. 14 + x= 73

3. =27

4. p – 61 = 36

Agenda & News

Start two-step and multistep equations

Assignment Ticket Out

First holiday, Monday, September 7th Labor day – No School

Recall – Last class

Recall in the last class meeting we touched on some very basic algebra terms. Distributive property Combining like terms Solving for a variable in linear equations

We can’t forget those, we are going to expand on those today with multistep equations and see how this applies to the real world.

Rules to Remember

When solving an equation, the goal is to get the variable by itself.

Addition and Subtraction are inverse operations. (opposites)

Multiplication and Division are inverse operations. (opposites)

Don’t Forget

The equation is like a balance scale. Whatever you do to one side of the equation must be done to the other side of the equation.

Examples of Two-Step Equationsa) 3x – 5 = 16

b) + 3 = 12

c) 5n + 4 = 6

d) – 6 = 4

How to solve two-step equations

Order of operations/PEMDAS, tells us we do multiplication or division first, then addition and subtraction.

However, when solving an equation for a variable, we do the opposite!

You are using the work back-words strategy

Example 1

3x + 2 = 23 - 2 -2 21

3x = 21 3 3 x = 7

The problem contains addition and multiplication. Which one do we undo 1st?

Example 2-3c + 9 = 3

-9 -9 -6 -3c = -6 -3 -3 c = 2

The problem contains addition and multiplication. Which one do we undo 1st?

Now it’s your turn

1. 5x + 4 = 192. 2t + 7 = -13. -4w – 4 = 8

1. x = 32. t = -43. w = -3

Multistep Equations

We have done one and two step equations.

Now we are going to work on multistep equations.

Multi- meaning more than 2 steps. Could include

▪ Combing like terms▪ Distribution▪ Addition/subtraction▪ Multiplication/division▪ All of the above

Concert Merchandise

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Example 3

What is the solution of -8(2x – 1) = 36?1. First distribute2. Subtract 8 from both sides

3. Simplify4. Divide each side by -16

5. Simplify

-16x + 8 = 36 - 8 - 8

-16x =28 -16 -16 x =

Your turn! Got It!

a) What is the solution of 18=3(2x-6)?

b) Can you solve the equation part (a) by using the division property of equality instead of the distributive property.

Example 4

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Assignment

Pearson Assignment

Ticket Out

1. What is the solution of 2b + 3b + 6 = 21?2. Verify that the solution to the equation

below is correct. Then justify each step that was used to solve the equation. (Example of step used might be distribution, simplification, addition, multiply, etc.)8m + 6m − 12 = 72 – Step Used:2a) _________________14m − 12 = 72 – Step Used:2b) _________________14m = 84 – Step Used:2c) _________________m = 6 – Step Used:2d) _________________