Lesson 1.1 Unit 1 – Solving Equations CCSSM: A.REI.1, A.REI.3

Before we can start today’s lesson there are a few things we need to make sure we remember how to do.

What does it mean to distribute?

Give an example.

What does it mean to combine like terms? Give an example of combining like terms. Of not combining like terms. What does it mean to simplify?

Can you practice what we have just remembered?

Simplify: 7𝑥 + 2(3𝑥 − 4)

Simplify: 9𝑥 −1

2 6𝑥 − 8 + 2

Last but not least: What is the difference between an expression and an equation?

Lesson 1.1 Unit 1 – Solving Equations CCSSM: A.REI.1, A.REI.3

SOLVING MULTIPLE STEP EQUATIONS

Vocabulary

Term Definition Examples

Inverse Operations

Additive Property of Equality

Multiplicative Property of Equality

Equivalent Equations

Why is there no subtraction property of equality? Or no division property of equality?

What is our goal when solving equations?

How can we look at a problem and determine what to do?

Before we start solving let us see if we can find some mistakes.

Lesson 1.1 Unit 1 – Solving Equations CCSSM: A.REI.1, A.REI.3

Solve the following equations. 1. 3.2 +

𝑥

2.5= 4.6

2. 8𝑥 − 3𝑥 − 10 = 20

3. 7𝑥 + 2 𝑥 + 6 = 20

4. 3

2 3𝑥 + 5 = −24

5. 2𝑤 + 3 𝑤 + 4 = 27

6. 2

3 3𝑟 + 4 = 10

7. 6𝑥 − 2 𝑥 − 5 = 46

8. 8 𝑥 + 5 = 60

What is the missing step?