Solving Multi-Step Inequalities with Word Problems

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Mathematics
•
8th Grade
•
Hard
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15 questions
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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(9 + x) ≥ -21?
Back
First, distribute -3: -27 - 3x ≥ -21. Then, add 27 to both sides: -3x ≥ 6. Finally, divide by -3 (remember to flip the inequality): x ≤ -2.
Tags
CCSS.6.EE.B.8
3.
FLASHCARD QUESTION
Front
What does the solution x ≤ -2 mean in a real-world context?
Back
It means that the value of x can be any number less than or equal to -2.
Tags
CCSS.6.EE.B.8
4.
FLASHCARD QUESTION
Front
How do you interpret the inequality m - 5 > 10?
Back
To solve, add 5 to both sides: m > 15. This means m must be greater than 15.
Tags
CCSS.7.EE.B.4B
5.
FLASHCARD QUESTION
Front
What is the solution to the inequality 8x ≥ -32?
Back
Divide both sides by 8: x ≥ -4.
Tags
CCSS.6.EE.B.8
6.
FLASHCARD QUESTION
Front
What does the inequality 0.75n + 1.75 ≤ 20 represent in a word problem?
Back
It represents the total cost of a taxi ride, where 1.75 is the base fare and 0.75 is the cost per additional mile, and it must be less than or equal to $20.
Tags
CCSS.7.EE.B.4B
7.
FLASHCARD QUESTION
Front
What is the maximum speed limit represented by the inequality s ≤ 55?
Back
It means that the speed s must be less than or equal to 55 miles per hour.
Tags
CCSS.6.EE.B.8
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