Solving Linear Equations

Flashcard
•
Mathematics
•
8th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + b = c, where a, b, and c are constants.
2.
FLASHCARD QUESTION
Front
What does it mean to solve a linear equation?
Back
To solve a linear equation means to find the value of the variable that makes the equation true.
3.
FLASHCARD QUESTION
Front
What is the solution to the equation 2x + 3 = 11?
Back
x = 4
4.
FLASHCARD QUESTION
Front
What is the distributive property?
Back
The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.
5.
FLASHCARD QUESTION
Front
How do you combine like terms in an equation?
Back
You combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.
6.
FLASHCARD QUESTION
Front
What is the first step in solving the equation 3(x + 4) = 21?
Back
Distribute 3 to both terms inside the parentheses: 3x + 12 = 21.
7.
FLASHCARD QUESTION
Front
What does it mean if an equation has no solution?
Back
An equation has no solution if there is no value for the variable that can make the equation true, often resulting in a contradiction.
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