Two Step Inequalities
Flashcard
•
Mathematics
•
6th - 8th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a two-step inequality?
Back
An inequality that requires two operations to isolate the variable.
2.
FLASHCARD QUESTION
Front
How do you solve the inequality -3x - 4 < 5?
Back
Add 4 to both sides: -3x < 9, then divide by -3 (reverse the inequality): x > -3.
3.
FLASHCARD QUESTION
Front
What does the solution x > -3 represent on a number line?
Back
All numbers greater than -3, represented by an open circle at -3 and shading to the right.
4.
FLASHCARD QUESTION
Front
What is the first step to solve the inequality 77 ≤ 5 + 8n?
Back
Subtract 5 from both sides: 72 ≤ 8n.
5.
FLASHCARD QUESTION
Front
How do you isolate n in the inequality 72 ≤ 8n?
Back
Divide both sides by 8: 9 ≤ n or n ≥ 9.
6.
FLASHCARD QUESTION
Front
What does the inequality 16 - 4a > 8 mean?
Back
It means that 16 minus four times a is greater than 8.
7.
FLASHCARD QUESTION
Front
How do you solve the inequality 16 - 4a > 8?
Back
Subtract 16 from both sides: -4a > -8, then divide by -4 (reverse the inequality): a < 2.
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