Multistep Equations with Variables on Both Sides

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.

Variables on Both Sides (multi-step)

Objective: Solve equations with variables on both sides involving distribution and combining like terms.

Math Response

WARMUP: 16 - 2t = 5t + 9

Type answer here

Correct Answer: 1

Deg^°

Rad

Variables on both sides with DISTRIBUTION

​EXAMPLE

​-3(2n - 3) = 25 - 8n

Math Response

Solve: -3x - 32 = -2(5 - 4x)

Type answer here

Correct Answer: -2

Deg^°

Rad

Variables on both sides with Combining Like Terms

​EXAMPLE

​2x + x - 3 = 2x + 5 + 4

Math Response

Solve: 3x + 4 - 7x = -6x - 4 + 20

Type answer here

Correct Answer: 6

Deg^°

Rad

Variables on both sides with Distribution and Combining Like Terms

​EXAMPLE

​-2(4 - 3x) + 3x = 27 + 2x

Drag and Drop

Given: -5(2x + 7) + x = -x - 11

After you distribute: ​

Placeholder

After you combine like terms: ​

Placeholder

Drag these tiles and drop them in the correct blank above

-10x - 35 + x = -x - 11

-9x - 35 = -x - 11

-10x + 7 + x = -x - 11

-10x + 35 + x = -x - 11

-8x - 35 = -x - 11

-9x + 7 = -x - 11

-9x + 35 = -x - 11

Math Response

Solve: -x + 23 = 2 - 2(x - 8)

Type answer here

Correct Answer: -5

Deg^°

Rad