Solving 2-Step Inequalities Practice
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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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 11 > -3y + 2?
Back
First, subtract 2 from both sides: 11 - 2 > -3y. Then, simplify: 9 > -3y. Finally, divide by -3 (remember to flip the inequality): -3 < y.
3.
FLASHCARD QUESTION
Front
What does it mean to graph an inequality?
Back
Graphing an inequality involves representing the solutions of the inequality on a number line, using an open or closed circle to indicate whether the endpoint is included.
4.
FLASHCARD QUESTION
Front
What is the solution to the inequality 6t + 4 ≤ -2?
Back
To solve, subtract 4 from both sides: 6t ≤ -6. Then, divide by 6: t ≤ -1.
5.
FLASHCARD QUESTION
Front
What is the correct inequality for the solution x < 24?
Back
The inequality x < 24 indicates that x can take any value less than 24.
6.
FLASHCARD QUESTION
Front
How do you solve the inequality k - 13 > -51?
Back
Add 13 to both sides: k > -51 + 13, which simplifies to k > -38.
7.
FLASHCARD QUESTION
Front
What is the difference between an open and closed circle on a number line?
Back
An open circle indicates that the number is not included in the solution (e.g., x < 3), while a closed circle indicates that the number is included (e.g., x ≤ 3).
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