Skill 1b: Solving Equations with Variables on Both Sides

Flashcard
•
Mathematics
•
8th - 10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the first step in solving an equation with variables on both sides?
Back
Isolate one of the variables by moving all terms involving that variable to one side of the equation.
2.
FLASHCARD QUESTION
Front
Solve for y: 18 - 3y = 7y
Back
y = 1.8
3.
FLASHCARD QUESTION
Front
What does it mean to 'combine like terms' in an equation?
Back
It means to simplify the equation by adding or subtracting terms that have the same variable and exponent.
4.
FLASHCARD QUESTION
Front
Solve for x: 16 + 4x = 34 - 2x
Back
x = 3
5.
FLASHCARD QUESTION
Front
What is the purpose of checking your solution after solving an equation?
Back
To verify that the solution satisfies the original equation.
6.
FLASHCARD QUESTION
Front
Solve for x: 10x - 10 = 9x + 7 + 4x - 2
Back
x = -5
7.
FLASHCARD QUESTION
Front
What is the principle of equality in solving equations?
Back
If you add, subtract, multiply, or divide both sides of an equation by the same number, the two sides remain equal.
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