
Solving 2-step Inequalities
Presentation
•
Mathematics
•
7th - 8th Grade
•
Medium
+1
Standards-aligned
Colleen Shoemaker
Used 51+ times
FREE Resource
6 Slides • 17 Questions
1
Two Step Inequalities
Solving Two Step Inequalities
The variable must be alone or isolated on one side of the inequality.
Isolate the variable by using inverse or opposite operations.
Whatever you do to one side you must do to the other.
2
1) add or subtract - whatever the inverse is of the constant
2) multiply or divide - whatever the inverse operation is of the coefficient
3
Multiple Choice
What is the opposite of multiplication?
Addition
Subtraction
Division
4
Multiple Choice
What is the opposite of addition?
Subtraction
Multiplication
Division
5
6
7
Multiple Choice
What would a graph look like for this solution:
x > 10
Open circle; shaded to the right
Open circle; shaded to the left
Closed circle; shaded to the right
Closed circle; shaded to the left
8
Multiple Choice
What would the graph look like for your solution?
x < 50
Open circle; shaded to the right
Closed circle; shaded to the right
Closed circle; shaded to the left
Open circle; shaded to the left
9
Multiple Choice
x ≥ −5
What would the graph look like for your solution?
Closed circle; shaded to the left
Closed circle: shaded to the right
Open circle; shaded to the right
Open circle; shaded to the left
10
Multiple Choice
When graphing an inequality, you use a closed circle when you use which symbols?
≤, ≥
<, >
11
Multiple Choice
<, >
≤, ≥
12
Multiple Choice
x≤−4
x≥−4
x < -4
x < 4
13
Multiple Choice
x≥3
x > 3
x < -3
x≤3
14
Two Step Inequalities
Solving Two Step Inequalities
When you multiply or divide BY a negative number, the inequality sign is flipped.
15
16
Multiple Choice
subtract
multiply and divide only
multiple by a negative number
multiple or divide by a negative number
17
Multiple Choice
-2x ≥ 22
YES
NO
18
Multiple Choice
3x ≥ 12
Yes
No
19
Multiple Choice
6t + 4 ≤ -2
t ≤ -1
t ≤ 1
t=1
1=t
20
Multiple Choice
7k – 2 ≥ -9
k ≤ -1
k≤1
k≥1
k ≥ -1
21
Multiple Choice
u/7 – 1 ≤ 1
14≥u
14≤u
u≤14
u ≤ -14
22
Multiple Choice
-3y + 2 > 11
y < -3
y > -3
y < 3
y > 3
23
Multiple Choice
11>c
3>c
11<c
3<c
Two Step Inequalities
Solving Two Step Inequalities
The variable must be alone or isolated on one side of the inequality.
Isolate the variable by using inverse or opposite operations.
Whatever you do to one side you must do to the other.
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