Lesson: Multi-Step Equations (w/ Dist. and Com LT)

Multiple Choice

Do you have your notebook out and ready to take notes? ​

(you will need to take a picture and upload it at the end)

• YES, I have my notebook out, I mean, I want to learn and be successful.

• Uh...No, and I know it means a bad grade, I have accepted my fate.

Solving Multi-Step Equations

Objective: Solve equations involving multiple steps to isolate the variable.

​with Distribution and Combining Like Terms

Multiple Choice

See if you remember.

Distribute: -9(x - 4)

• -9x + 36

• -9x - 36

• 9x + 36

• 9x - 36

DISTRIBUTION

EXAMPLES

4(x - 7) = 4x - 28

-3(2x - 4y) =

-(5x - 3) =

EXAMPLES with Distribution

4(n - 2) = 28

32 = -4(x - 3)

Math Response

Solve: -21 = 3(x - 5)

Type answer here

Correct Answer: -2

Deg^°

Rad

​Like Terms: terms that have the SAME variable(s)

​​Examples: 4x and 17x

​Vocabulary

​Combine Like Terms: take multiple like terms and make them one. ​ ​Another word used is SIMPLIFY.

​​EXAMPLE: 4x + 8 - 9x + 10x - 12

Math Response

Simplify: 13 - 5x + 4 + 3x - 7

Type answer here

Correct Answer: -2x+10

Deg^°

Rad

EXAMPLES with Like Terms

-8e + 7 + 3e = -13

1 - 3p − 5 = −16

Math Response

Solve: −5x + 13 + 7x = 1

Type answer here

Correct Answer: -6

Deg^°

Rad

3r + 4(r - 2) = 13

EXAMPLE

​with Distribution and Like Terms

​1) Distribute if you can

2) Combine Like Terms if you can​

3) Add or Subtract on both sides if you need to​

4) Multiply or Divide on both sides​ if you need to

Math Response

Solve: 2(x + 7) - 7 = 5

Type answer here

Correct Answer: -1

Deg^°

Rad

EXAMPLE

48 = 6(3x - 1) + 9x

​this video covers all the kinds of examples we have done in this lesson

Math Response

Solve: 3(2x + 9) - 4x = 29

Type answer here

Correct Answer: 1

Deg^°

Rad