Two-Step Inequalities
Flashcard
•
Mathematics
•
6th - 8th Grade
•
Practice Problem
•
Hard
Wayground Content
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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 often involves addition or subtraction followed by multiplication or division.
2.
FLASHCARD QUESTION
Front
How do you solve the inequality -2x + 7 < 19?
Back
Subtract 7 from both sides: -2x < 12. Then divide by -2 (remember to flip the inequality): x > -6.
3.
FLASHCARD QUESTION
Front
What does the solution k ≥ -1 represent in a number line?
Back
It represents all numbers greater than or equal to -1, including -1 itself.
4.
FLASHCARD QUESTION
Front
How do you graph the solution of the inequality 3x + 2 > 14?
Back
First, solve for x: 3x > 12, so x > 4. On a number line, draw an open circle at 4 and shade to the right.
5.
FLASHCARD QUESTION
Front
What is the first step to solve the inequality 7k - 2 ≥ -9?
Back
Add 2 to both sides: 7k ≥ -7.
6.
FLASHCARD QUESTION
Front
What is the final solution for the inequality 6t + 4 ≤ -2?
Back
Subtract 4 from both sides: 6t ≤ -6, then divide by 6: t ≤ -1.
7.
FLASHCARD QUESTION
Front
What does the symbol '>' mean in inequalities?
Back
It means 'greater than' and indicates that the value on the left is larger than the value on the right.
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