Solving Multistep Inequalities
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a multistep inequality?
Back
A multistep inequality is an inequality that requires more than one step to solve, often involving combining like terms, distributing, and isolating the variable.
Tags
CCSS.7.EE.B.4B
2.
FLASHCARD QUESTION
Front
How do you solve the inequality 28 - k ≥ 7(k - 4)?
Back
First, distribute the 7: 28 - k ≥ 7k - 28. Then, add k to both sides: 28 ≥ 8k - 28. Next, add 28 to both sides: 56 ≥ 8k. Finally, divide by 8: k ≤ 7.
3.
FLASHCARD QUESTION
Front
What is the solution to the inequality 6x + 2 < 14?
Back
Subtract 2 from both sides: 6x < 12. Then, divide by 6: x < 2.
Tags
CCSS.7.EE.B.4B
4.
FLASHCARD QUESTION
Front
How do you isolate the variable in the inequality 3 < -5n + 2n?
Back
Combine like terms: 3 < -3n. Then, divide by -3 (remember to flip the inequality): n < -1.
5.
FLASHCARD QUESTION
Front
What does it mean to flip the inequality sign when dividing by a negative number?
Back
When you divide or multiply both sides of an inequality by a negative number, the direction of the inequality sign must be reversed.
Tags
CCSS.6.EE.B.8
6.
FLASHCARD QUESTION
Front
What is the first step in solving the inequality 7(x + 3) < 5x + 13?
Back
Distribute the 7: 7x + 21 < 5x + 13.
7.
FLASHCARD QUESTION
Front
How do you combine like terms in the inequality 7x + 21 < 5x + 13?
Back
Subtract 5x from both sides: 2x + 21 < 13.
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