Unit 2B Two Step Inequalities/Word Problems
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Mathematics
•
7th 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. For example, in the inequality 2x + 3 < 7, you would first subtract 3 from both sides and then divide by 2.
2.
FLASHCARD QUESTION
Front
How do you solve the inequality -4x + 14 ≤ 54?
Back
Subtract 14 from both sides: -4x ≤ 40. Then divide by -4 (remember to flip the inequality sign): x ≥ -10.
3.
FLASHCARD QUESTION
Front
What happens to the inequality sign when you multiply or divide by a negative number?
Back
You must flip the inequality sign. For example, if you have -2x < 6 and divide by -2, it becomes x > -3.
4.
FLASHCARD QUESTION
Front
What is the solution to the inequality 2k - 9 ≤ -19?
Back
Add 9 to both sides: 2k ≤ -10. Then divide by 2: k ≤ -5.
5.
FLASHCARD QUESTION
Front
When do you not flip the inequality sign?
Back
You do not flip the inequality sign when you add or subtract a positive or negative number.
6.
FLASHCARD QUESTION
Front
What is the solution to the inequality 7n - 1 > 76?
Back
Add 1 to both sides: 7n > 77. Then divide by 7: n > 11.
7.
FLASHCARD QUESTION
Front
What does it mean to graph an inequality?
Back
Graphing an inequality means representing the solution set on a number line, using an open circle for < or > and a closed circle for ≤ or ≥.
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