Solving Multistep Inequalities
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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14 questions
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1.
FLASHCARD QUESTION
Front
What is a multistep inequality?
Back
A multistep inequality is an inequality that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, or division.
2.
FLASHCARD QUESTION
Front
How do you isolate a variable in an inequality?
Back
To isolate a variable in an inequality, perform inverse operations on both sides of the inequality, similar to solving an equation, while remembering to reverse the inequality sign when multiplying or dividing by a negative number.
3.
FLASHCARD QUESTION
Front
What does the inequality symbol '≥' mean?
Back
'≥' means 'greater than or equal to', indicating that the value on the left is either greater than or equal to the value on the right.
4.
FLASHCARD QUESTION
Front
What does the inequality symbol '≤' mean?
Back
'≤' means 'less than or equal to', indicating that the value on the left is either less than or equal to the value on the right.
5.
FLASHCARD QUESTION
Front
How do you graph a solution to an inequality?
Back
To graph a solution to an inequality, use a number line: use an open circle for '>' or '<' and a closed circle for '≥' or '≤'. Shade the region that represents the solution set.
6.
FLASHCARD QUESTION
Front
What is the first step in solving the inequality 9 ≥ -2m + 2 - 3?
Back
The first step is to simplify the right side of the inequality by combining like terms, resulting in 9 ≥ -2m - 1.
7.
FLASHCARD QUESTION
Front
How do you solve the inequality -3 - 6(4x + 6) > -111?
Back
First, distribute -6 to both terms inside the parentheses, then combine like terms and isolate x by performing inverse operations.
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