Solving Equations
Flashcard
•
Mathematics
•
7th Grade
•
Practice Problem
•
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 is the first step in solving the equation 3(x - 2) = 18?
Back
Distribute the 3 to both terms inside the parentheses: 3x - 6 = 18.
4.
FLASHCARD QUESTION
Front
How do you isolate the variable in the equation 4x + 3 = -5?
Back
Subtract 3 from both sides to get 4x = -8, then divide by 4 to find x = -2.
5.
FLASHCARD QUESTION
Front
Back
First, simplify to get 14x - 28 = 42. Then, add 28 to both sides to get 14x = 70, and divide by 14 to find x = 5.
6.
FLASHCARD QUESTION
Front
What is the formula for the total cost of hiring a mechanic who charges a flat fee and an hourly rate?
Back
The formula is y = 65x + 15, where y is the total cost, x is the number of hours, and 15 is the flat fee.
7.
FLASHCARD QUESTION
Front
Back
Multiply both sides by 5 to isolate x, resulting in x = 10.
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