

Solve Multi-Step Equations
Presentation
•
Mathematics
•
7th - 9th Grade
•
Medium
+1
Standards-aligned
Cheryl Nichols
Used 371+ times
FREE Resource
7 Slides • 11 Questions
1
Solve Multi-Step Equations

2
How do I solve multi-step equations?
Simplify first.
Look over the equation and decide the next steps.
3
What do you mean by simplify?
Resolve parentheses using the Distributive Property.
Combine like terms on the same side of the equation.
4
How do I simplify using the Distributive Property?
Multiply the term on the outside of the parentheses times each term on the inside of the parentheses.
Drop the parentheses.
5
It looks like this:
4(5x + 7) = 20x + 28
6
Multiple Choice
Let's try it. Which answer shows an equivalent expression created with the Distributive Property?
40 + 56x
40 + 7x
(40 + 56x)
7
Multiple Choice
Try another one. It can get tricky when there are negatives.
−24x + 18
−24x − 18
24x + 18
−24x − 3
8
Multiple Choice
One more. What should we do when we only see a negative sign and no integer?
−5 + 6x
−5 − 6x
5 + 6x
9
How do I combine like terms on the same side of the equal sign?
Add or subtract them as if the equal sign were not there.
Remember that you should NOT use inverse operations or opposites to combine like terms on the same side of the equal sign.
10
It looks like this:
4x − 5 +3x = 7x − 5
11
Multiple Choice
Let's try it. Which answer choice shows the correct way to combine like terms here?
3 − 7x
5 − 5x
12
Multiple Choice
Now let's apply it to an equation. What will this equation look like after you simplify it?
8 + 12x = 56
8 + 3x = 56
13
Multiple Choice
Now solve your simplified equation. What is the solution for:
x = 4
x = 3
14
Multiple Choice
What will this equation look like after you have simplified?
−29 = 10 a − 5 + 2a
−29 = 12a − 5
15
Multiple Choice
Now solve your simplified equation. What is the solution for:
−2 = a
2 = a
16
Fill in the Blanks
Solve this one. Type your answer in the space provided.
Type answer...
17
Fill in the Blanks
Solve this one. Type your answer in the space provided.
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18
Open Ended
Rate your understanding of solving multi-step equations after completing this lesson. Use a 1 - 5 scale with 5 being I understand completely. Explain your rating.
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