Solving Inequalities
Presentation
•
Mathematics
•
8th - 9th Grade
•
Medium
Standards-aligned
Cynthia Hohman
Used 768+ times
FREE Resource
6 Slides • 7 Questions
1
Solving Inequalities
2
Key Vocabulary/Standards
Inequality
Combine
Like Terms
Opposite Operations
Coefficient
NC.M1.A-REI.3: Solve linear equations and inequalities in one variable.
3
Multiple Choice
What is the inequality sign for greater than?
<
>
≤
≥
4
Solving Inequalities
When solving inequalities the steps are the same as solving a regular equation, only difference is if you divide or multiply by a negative number the inequality sign flips directions.
5
Multiple Choice
If you divide an inequality with a less than sign by -3, what inequality sign would it change to?
>
<
≥
≤
6
Solving Inequality Steps
Get rid of all Parentheses
Combine like terms
Move all x terms to the left hand side (LHS)
Move all constants to the right hand side (RHS)
Get rid of the x’s coefficient by doing the opposite operations (multiplication -> division or division -> multiplication)
BE CAREFUL WHEN DIVIDING/MULTIPLYING BY A NEGATIVE
7
Example 1
- 8x + 2x - 16 < - 5x + 7x
(-8x + 2x) - 16 < (-5x + 7x)
-6x - 16 < 2x
-6x - 16 - 2x < 2x - 2x
-8x - 16 < 0
-8x - 16 + 16 < 0 + 16
-8x < 16
-8x/-8 < 16/-8
x > -2
8
Multiple Choice
When looking at this inequality what should be your first step? −1−6x−6>−11−7x
Get rid of parentheses
move x terms to the LHS
combine like terms
move the constant to the RHS
9
Example 2
- 1 - 6x - 6 > - 11 - 7x
(-1 - 6) - 6x > -11 - 7x
-7 - 6x > -11 - 7x
-7 - 6x + 7x > -11 - 7x + 7x
-7 + x > -11
-7 + x + 7 > -11 + 7
x > -4
10
Multiple Choice
You try!
Solve.
1−3x +6x>10−6x
x > 1
x < -1
x > 9
x < 9
11
Fill in the Blanks
Type answer...
12
Multiple Choice
When looking at this inequality what should be your first step? 3(1−2x)>3−6x
Get rid of parentheses
move x terms to the LHS
combine like terms
move the constant to the RHS
13
Poll
How comfortable are you with solving inequalities?
Great!
So-so
Totally Confused
Solving Inequalities
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