Checking Solutions to Equations
Flashcard
•
Mathematics
•
7th Grade
•
Hard
Wayground Content
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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 one or more variables.
2.
FLASHCARD QUESTION
Front
What does it mean to check a solution to an equation?
Back
Checking a solution involves substituting the proposed solution back into the original equation to see if both sides are equal.
3.
FLASHCARD QUESTION
Front
What is a variable in an equation?
Back
A variable is a symbol, often represented by letters like x or y, that stands for an unknown value in an equation.
4.
FLASHCARD QUESTION
Front
How do you solve the equation 3(y + 1) = 4y - 5?
Back
1. Distribute: 3y + 3 = 4y - 5; 2. Rearrange: 3 + 5 = 4y - 3y; 3. Combine: 8 = y.
5.
FLASHCARD QUESTION
Front
Is y=8 a solution to the equation 3(y + 1) = 4y - 5?
Back
Yes, substituting y=8 gives 3(8 + 1) = 4(8) - 5, which simplifies to 27 = 27.
6.
FLASHCARD QUESTION
Front
What is the solution to the equation 3x = 12?
Back
x = 4, because dividing both sides by 3 gives x = 12/3.
7.
FLASHCARD QUESTION
Front
How do you check if x=4 is a solution to 3x=12?
Back
Substitute 4 into the equation: 3(4) = 12, which is true.
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