PA-U2.1 Lesson: One Step Equations Add/Sub

Open Ended

ACT Prep Warm-Up: Joey evaluated the following: $$4\cdot5-\left(-3\right)-14\div2$$

Here are his steps:

1) 4 times 5 = 20

2) -14/2 = -7

3) 20 -3 = 17

4) 17 -7 = 10

Is Joey correct? If not explain his mistake and how it affected the result.

Unit 2 Lesson 1a
One Step Equations

​Goal:

Use inverse operations to isolate the variable, and solve the equation.

Term with the opposite sign used eliminate values through addition.

Additive Inverse

Opposite operations used to eliminate terms.

​Inverse Operations

Concepts:

The unknown, typically represented by a letter.

To get by itself, alone.

​Isolate

Concepts:

​Variable

Multiple Choice

Select the option that best matches the definition:

"Term with the opposite sign used eliminate values through addition."

• Isolate

• Inverse Operations

• Additive Inverse

• Variable

Multiple Choice

Select the option that best matches the definition:

"Opposite operations used to eliminate terms."

• Isolate

• Inverse Operations

• Additive Inverse

• Variable

Multiple Choice

Select the option that best matches the definition:

"To get by itself, alone."

• Isolate

• Inverse Operations

• Additive Inverse

• Variable

​Procedure:

1) Identify what is attached to the variable.
2) Use the appropriate inverse operation to isolate.
3) Check your work.

Reorder

Reorder the steps used to solve equations.

• Identify what is attached to the variable.

• Use the appropriate inverse operation to isolate.

• Check your work.

1

2

3

• 1
• 2
• 3

Example 1:

Example 2:

Multiple Choice

Lesson Check:

Solve for y: $$y+9=17$$

• y = 8

• y = 26

• y = 36

• y = -8