Multi-Step Equations (Sept 13th)
Presentation
•
Mathematics
•
9th Grade
•
Medium
+3
Standards-aligned
Kylee Boyd
Used 62+ times
FREE Resource
6 Slides • 9 Questions
1
An Equation is a statement that says both sides of the equal sign are equivalent, or the same.
2
Here are the steps to solving a multi-step equation:
Distributive Property
Combine like terms (on the same side of the equation)
Use inverse operations to put variables and constants on opposite sides of the equations
Isolate the variable
Subject | Subject
3
Multiple Choice
What is the first thing you should do to simplify an equation?
add
Distributive Property
Combine like terms
divide
4
How can you tell that you need to use the Distributive Property?
You will see a term sitting next to parentheses, ready to be multiplied to the terms inside the parentheses. Like these:
4(x - 7) = -9
-8x + 3 = 2 - 8(x + 4)
5
Multiple Select
Which of the following equations require you to use the Distributive Property first? Select all that apply.
6x - 8 = 7(x + 2)
7n - 5 = 3
2(a - 9) = 9a + 1
4 - 9y+ 8 +2y
6
Multiple Choice
Let's practice using the Distributive Property.
Simplify: 6(x - 3)
x - 18
6x + 18
6x - 9
6x - 18
7
Multiple Choice
Simplify: -3(n - 8)
3n - 8
-3n - 24
-3n + 24
-24
8
Once you distribute, check to see if you have like terms, on the same side of the equal sign. Here are some examples of like terms:
5x and -6x
-6 and 3 *** Remember that constants (regular numbers) are like terms with each other. ***
7m and m
9
Multiple Select
Check all the boxes that show like terms.
5x and x
-3 and 2
8 and x
7y and 9y
8x and
10
Multiple Choice
Le's practice combining like terms.
Simplify: 7x - 8 + 3x - 1
10x - 9
21x + 8
4x + 9
10x + 9
11
Once you distribute and combine like terms, make sure variables are on one side and constants (regular numbers) are on the other side. Use inverse operations to move terms to the other side.
12
Multiple Choice
If we wanted to get the variable by itself, what is this first operations we would use to accomplish this?
7x - 8 = 27
Add 8 to both sides
Subtract 8 on both sides
Subtract 27 on both sides
Divide by 7 on both sides
13
Multiple Choice
After adding 8 to both sides, we would get:
7x = 35
What is our next step
Subtract 35 on both sides
Multiply by 7 on both sides
Divide by 7 on both sides
14
Here is an example of how to solve a multi-step equation. See if you can follow the steps that are written on the side.
15
Multiple Choice
Find the solution to the following equation:
-5n + 6n + 15 - 3n = -3
(This is #7 on page 4 in your packet)
n = 9
n = -9
n = -18
n = 18
An Equation is a statement that says both sides of the equal sign are equivalent, or the same.
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