

Solving Multi-Step Equations Involving CLT and Distribution
Presentation
•
Mathematics
•
9th Grade
•
Medium
Standards-aligned
Catherine Hanley
Used 39+ times
FREE Resource
10 Slides • 2 Questions
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Solving Multi-Step Equations Involving CLT and Distribution

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By the end of this lesson you will be able to solve linear equations that involve both distribution and combining like terms
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DCI is used to remember the order of the steps for solving these multi-step equations
Distribute
Combine Like Terms
Inverse Operations
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Steps:
Distribute wherever there are parantheses
Combine like terms on each side of the equation
Inverse Operations to solve for the variable
Check your work
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Example 1:
Solve the equation to the right.
Remember DCI!
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Step 1: Distribute
The D of DCI
You need to distribute 8 to all terms within the parantheses
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Step 2: Combine like terms
This is the C of DCI
The left side does not have any like terms so it is "cleaned up"
The right side has an 8x and a -5x which will combine to 3x
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Step 3: Solve Using Inverse Operations
The I of DCI
Move all your variables to one side and constants to the other side. Then solve for the variable....
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Step 4: Check
substitute your answer into all variables in the original equation
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Example 2:
Remember DCI!
D: Distribute the -4 first
C: Combine like terms on left
I: Inverse Operations - subtract 4 from both sides and then divide by them both by -4
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Multiple Choice
Solve the Equation: -3(x - 1) + 7x = -9
-2
2
-3
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Multiple Choice
Solve the equation: -2(n + 3) = 4n - 3
-2
2
-1/2
1/2
Solving Multi-Step Equations Involving CLT and Distribution

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