Solving Multi-Step Inequalities with Word Problems

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•
Mathematics
•
8th Grade
•
Hard
+1
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a multi-step inequality?
Back
A multi-step inequality is an inequality that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, or division.
2.
FLASHCARD QUESTION
Front
How do you solve the inequality 3(x - 2) < 2(x + 9)?
Back
First, distribute: 3x - 6 < 2x + 18. Then, subtract 2x from both sides: x - 6 < 18. Finally, add 6 to both sides: x < 24.
3.
FLASHCARD QUESTION
Front
What does the solution x < 24 represent on a number line?
Back
It represents all numbers to the left of 24, not including 24 itself.
Tags
CCSS.6.EE.B.8
4.
FLASHCARD QUESTION
Front
What is the solution to the inequality 11 > -3y + 2?
Back
The solution is y > -3.
Tags
CCSS.7.EE.B.4B
5.
FLASHCARD QUESTION
Front
How do you isolate y in the inequality -3y < 9?
Back
Divide both sides by -3, remembering to flip the inequality sign: y > -3.
Tags
CCSS.6.EE.B.8
6.
FLASHCARD QUESTION
Front
What does an open circle mean when graphing inequalities?
Back
An open circle indicates that the number is not included in the solution set.
Tags
CCSS.6.EE.B.8
7.
FLASHCARD QUESTION
Front
What does a closed circle mean when graphing inequalities?
Back
A closed circle indicates that the number is included in the solution set.
Tags
CCSS.6.EE.B.8
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