Multi-Step Equations Review Lesson

​Solving Multi-step Equations

By Chip Krolik

Dropdown

Show steps in solving 3d + 9 = -27, then find the answer: 

1st: ​

Select answer

2nd: ​

Select answer

Answer: ​

Select answer

Multiple Choice

2x - 3 + 4x = 27

• 6
• 4
• 7
• 5
• none of these

Fill in the Blanks

-16 + 7n + n = 8n + 4n

Fill in the Blanks

5x - 4 + 2x = 3

Multiple Choice

3 ( x + 1 ) - 5 = 5x -2

• x = -1
• x = 2
• x = 0
• x = 1
• none of these

Fill in the Blanks

2 ( x + 5 ) - 7 = 3 ( x - 2 )

Multiple Choice

Where/what is the mistake?

• Line 2 - You should add 12 to both sides.
• Line 4 - You should multiply both sides by the reciprocal.
• Line 4 - You should multiply both sides by the original fraction. 
• Line 5 - There was a calculation error.
• there are no mistakes

Multiple Choice

Austin solved the equation as shown below. Which correctly describes the error that Austin made in his work?

• Austin did not combine 7x and 8x correctly.

• Austin did not combine -3 and -9 correctly.

• Austin did not divide correctly.

• Austin did not make an error in his work.

Multiple Choice

Find the error

• There is no error

• They should have subtracted 3 to both sides

• They should have subtracted 2x to both sides

• They should have divided 7 to both sides

• The answer should be 6/7

Multiple Choice

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.
• none of these are correct

Multiple Choice

How do you solve an equation with variables on both sides?

• Ignore the variable terms and solve for the constant

• Subtract the variable terms from both sides

• Divide by the variable

• Combine like terms, move variable terms to one side, and solve for the variable

Fill in the Blanks

In the equation 2/3x + 4 = 8, what is the value of x?

Multiple Choice

Solve: $$\frac{1}{2}$$ (4x + 6) = 24

Enter the answer as a decimal to the nearest tenths place.

• 9.5
• 10.5
• 8.2
• 12.0
• none of these

Poll

How confident are you in solving multi-step equations, after this review?

• very confident! I got this!

• I'm ok

• Mmmm, I don't know. I think I've got it

• Not confident at all. I really don't know how to do any of this

• Other: My thoughts / feelings are not expressed here