Solving Equations with Variables on Both Sides

Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an equation?
Back
An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.
2.
FLASHCARD QUESTION
Front
What does it mean to solve an equation?
Back
To solve an equation means to find the value(s) of the variable(s) that make the equation true.
3.
FLASHCARD QUESTION
Front
What are variables in an equation?
Back
Variables are symbols (often letters) that represent unknown values in mathematical expressions or equations.
4.
FLASHCARD QUESTION
Front
What is the goal when solving equations with variables on both sides?
Back
The goal is to isolate the variable on one side of the equation to find its value.
5.
FLASHCARD QUESTION
Front
What is the first step in solving an equation like 5y + 34 = -2(-7y + 1)?
Back
The first step is to simplify both sides of the equation, if necessary, by distributing and combining like terms.
6.
FLASHCARD QUESTION
Front
How do you isolate a variable in an equation?
Back
To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.
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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