What is a linear equation?
Flashcard # 1: Solving linear equations and inequalities in one variable

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Mathematics
•
9th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form ax + b = 0, where a and b are constants.
2.
FLASHCARD QUESTION
Front
What is an inequality?
Back
An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other. Examples include x > 5 or x ≤ 3.
3.
FLASHCARD QUESTION
Front
How do you solve a linear equation?
Back
To solve a linear equation, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division) until the variable is alone.
4.
FLASHCARD QUESTION
Front
What does it mean for an equation to have infinite solutions?
Back
An equation has infinite solutions when any value of the variable satisfies the equation, often occurring when both sides of the equation are equivalent.
5.
FLASHCARD QUESTION
Front
What is the solution to the inequality 5x - 3 > 2?
Back
x > 1.
6.
FLASHCARD QUESTION
Front
What is the first step in solving the equation 12x - 14x + 2 = 20 - 6?
Back
Combine like terms: -2x + 2 = 14.
7.
FLASHCARD QUESTION
Front
What is the solution to the equation 3x + 9 = 2x + 9?
Back
x = 0.
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