Solving Multi-step Inequalities
Presentation
•
Mathematics
•
7th Grade
•
Medium
Standards-aligned
K'Yana McLean
Used 33+ times
FREE Resource
7 Slides • 7 Questions
1
February 2023
2
I can determine the solution to an inequality with only positive numbers
I can compare and contrast solutions to equations and solutions to inequalities
NC.7.EE.4.b Construct inequalities to solve problems by reasoning about the quantities.
o Fluently solve multi-step inequalities with the variable on one side, including those generated by word problems.
o Compare an algebraic solution process for equations and an algebraic solution process for inequalities.
o Graph the solution set of the inequality and interpret in context.
3
Multiple Choice
≤, ≥
<, >
≤, <
≥, >
4
Multiple Choice
x > 5
x < −5
x ≥ 5
x ≥ −5
5
When the number you multiply or divide your variable by is positive, you solve inequalities the same way you solve equations
Solving two-step inequalities with positive numbers
6
Multiple Choice
What is the first step to solving this inequality?
9x − 6 > 66
Add 9 to both sides of the inequality.
Divide both sides of the inequality by 9.
Subtract 6 on both sides of the inequality.
Add 6 to both sides of the inequality.
7
Multiple Choice
What is the first step to solve the following inequality?
25 − 4y ≥ 37
Subtract 25 from both sides of the inequality.
Add 25 to both sides of the inequality.
Divide both sides of the inequality by 4.
Multiply both sides of the inequality by -4.
8
9
Multiple Choice
How do we solve this inequality?
9 − 54x ≤−3
Subtract 9, then multiply both sides by −45
Subtract 9, then multiply both sides by 45
Add 9, then multiply both sides by −45
Add 9, then multiply both sides by −54
10
11
12
13
Multiple Choice
n < -14
n < 11.667
n < -10
n < 14
14
Multiple Choice
Solve the inequality
x ≤ -17
x ≤ -11
x ≤ 7
x ≤ -35
February 2023
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