Solving Inequalities (Word Problems)
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an inequality?
Back
An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.
2.
FLASHCARD QUESTION
Front
How do you solve a linear inequality?
Back
To solve a linear inequality, isolate the variable on one side of the inequality sign using inverse operations, similar to solving an equation, while remembering to reverse the inequality sign if you multiply or divide by a negative number.
3.
FLASHCARD QUESTION
Front
What does it mean to 'factor' an expression?
Back
Factoring an expression means rewriting it as a product of its factors, which are simpler expressions that, when multiplied together, give the original expression.
4.
FLASHCARD QUESTION
Front
What is the solution set of an inequality?
Back
The solution set of an inequality is the set of all values that satisfy the inequality, often represented on a number line.
5.
FLASHCARD QUESTION
Front
What is the difference between an equation and an inequality?
Back
An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.
6.
FLASHCARD QUESTION
Front
How do you graph a linear inequality on a number line?
Back
To graph a linear inequality on a number line, use an open circle for < or > and a closed circle for ≤ or ≥, then shade the region that represents the solution set.
7.
FLASHCARD QUESTION
Front
What is the distributive property?
Back
The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.
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