Solve Two-Step Inequalities Lesson Check

Flashcard
•
Mathematics
•
7th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a two-step inequality?
Back
A two-step inequality is an inequality that requires two operations to isolate the variable. It typically involves addition or subtraction followed by multiplication or division.
2.
FLASHCARD QUESTION
Front
How do you solve the inequality 5x + 9 > 34?
Back
Subtract 9 from both sides: 5x > 25. Then divide by 5: x > 5.
3.
FLASHCARD QUESTION
Front
What does the solution x > 5 represent on a number line?
Back
It represents all numbers greater than 5, which is shown as an open circle at 5 and a line extending to the right.
4.
FLASHCARD QUESTION
Front
How do you solve the inequality -2x - 3 ≤ 13?
Back
Add 3 to both sides: -2x ≤ 16. Then divide by -2 (remember to flip the inequality): x ≥ -8.
5.
FLASHCARD QUESTION
Front
What does the solution x ≥ -8 mean?
Back
It means x can be -8 or any number greater than -8, represented by a closed circle at -8 and a line extending to the right.
6.
FLASHCARD QUESTION
Front
How do you graph the inequality 77 ≤ 5 + 8n?
Back
First, solve for n: 8n ≥ 72, so n ≥ 9. Graph with a closed circle at 9 and a line extending to the right.
7.
FLASHCARD QUESTION
Front
What is the solution to the inequality -3r + 10 < -2?
Back
Subtract 10 from both sides: -3r < -12. Then divide by -3 (flip the inequality): r > 4.
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