Two-Step Inequalities

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•
Mathematics
•
6th - 8th Grade
•
Hard
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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 on one side of the inequality sign.
2.
FLASHCARD QUESTION
Front
How do you solve the inequality 3x + 2 > 14?
Back
Subtract 2 from both sides to get 3x > 12, then divide by 3 to find x > 4.
3.
FLASHCARD QUESTION
Front
What is the solution to the inequality 4x - 4 > 8?
Back
Add 4 to both sides to get 4x > 12, then divide by 4 to find x > 3.
4.
FLASHCARD QUESTION
Front
How do you solve the inequality 6t + 4 ≤ -2?
Back
Subtract 4 from both sides to get 6t ≤ -6, then divide by 6 to find t ≤ -1.
5.
FLASHCARD QUESTION
Front
What is the solution to the inequality -4x + 14 ≤ 54?
Back
Subtract 14 from both sides to get -4x ≤ 40, then divide by -4 (remember to flip the inequality) to find x ≥ -10.
6.
FLASHCARD QUESTION
Front
How do you solve the inequality -2x + 7 < 19?
Back
Subtract 7 from both sides to get -2x < 12, then divide by -2 (remember to flip the inequality) to find x > -6.
7.
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, you must reverse the direction of the inequality sign.
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