2-step Inequalities
Flashcard
•
Mathematics
•
7th - 8th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a 2-step inequality?
Back
A 2-step inequality is an inequality that requires two operations to isolate the variable, typically involving addition or subtraction followed by multiplication or division.
2.
FLASHCARD QUESTION
Front
How do you solve the inequality -9a - 1 < 26?
Back
To solve -9a - 1 < 26, first add 1 to both sides to get -9a < 27, then divide by -9 (remember to flip the inequality sign) to find a > -3.
3.
FLASHCARD QUESTION
Front
What does the solution a > -3 represent in terms of a number line?
Back
The solution a > -3 represents all numbers greater than -3 on the number line, which is shown as an open circle at -3 and a line extending to the right.
4.
FLASHCARD QUESTION
Front
How do you solve the inequality -4x + 14 ≤ 54?
Back
To solve -4x + 14 ≤ 54, subtract 14 from both sides to get -4x ≤ 40, then divide by -4 (flipping the inequality sign) to find x ≥ -10.
5.
FLASHCARD QUESTION
Front
What is the significance of the inequality sign in x ≥ -10?
Back
The inequality sign in x ≥ -10 indicates that x can be -10 or any number greater than -10.
6.
FLASHCARD QUESTION
Front
How do you interpret the inequality -4x + 5 ≤ 29?
Back
To interpret -4x + 5 ≤ 29, solve for x by subtracting 5 from both sides to get -4x ≤ 24, then divide by -4 (flipping the sign) to find x ≥ -6.
7.
FLASHCARD QUESTION
Front
What does the inequality 106 - 4x ≤ 70 represent in a real-world context?
Back
The inequality 106 - 4x ≤ 70 represents the weight of Casey's dog decreasing by 4 pounds per week until it reaches a maximum weight of 70 pounds.
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