Solving Linear Equations Involving Combining Like Terms
Presentation
•
Mathematics
•
9th Grade
•
Medium
Catherine Hanley
Used 28+ times
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15 Slides • 1 Question
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Solving Linear Equations Involving Combining Like Terms
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By the end of this lesson you will be able to solve linear equations that involve combining like terms
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Steps:
Identify and combine all like terms on the left side of the equation ("clean up" the left side)
Identify and combine all like terms on the right side of the equation ("clean up" the right side)
Solve using inverse operations
Check your answer
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Example:
Solve the equation 6n + 3 + 8n + 2 = 23
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Step 1: Identify and combine like terms
"Clean up" the left side of the equation
6n + 3 + 8n + 2 = 23
(6n + 8n) + (3 + 2) = 23
14n + 5 = 23
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Step 2: Identify and combine like terms
"Clean up" the right side of the equation
14n + 5 = 23 .... The right side has no like terms to combine
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Step 3: Solve Using Inverse Operations
14n + 5 = 23 (subtract 5 from both sides)
14n = 18 (divide both sides by 14)
n = 18/14 which simplifies to 9/7
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Check: Try 9/7 in the original equation
6(9/7) + 3 + 8(9/7) + 2 = 23
54/7 + 3 + 72/7 + 2 = 23
126/7 + 3 + 2 = 23
18 + 3 + 2 = 23
23 = 23 CHECKS!
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Example: Solve the equation
8x + 7 - 10x = 10 + 3x + 12
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Step 1: Identify and combine like terms
"Clean up" the left side of the equation
8x + 7 - 10x =
(8x - 10x) + 7 =
-2x + 7 =
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Step 2: Identify and combine like terms
"Clean up" the right side of the equation
= 10 + 3x + 12
= 3x + (10 + 12)
= 3x + 22
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Step 3: Solve Using Inverse Operations
-2x + 7 = 3x + 22 (add 2x to both sides)
7 = 5x + 22 (subtract 22 from both sides)
-15 = 5x (divide both sides by 5)
-3 = x or x = -3
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Check: Try -3 in the original equation
8(-3) + 7 - 10(-3) = 10 + 3(-3) + 12
-24 + 7 + 30 = 10 + (-9) + 12
13 = 13 CHECKS!
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Extra Example...
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Multiple Choice
Solve the Equation: 3x + 5 - 7x + 9 = 20 + 6x - x + 12
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-2
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Please watch the videos on Google Classroom
Solving Linear Equations Involving Combining Like Terms
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