Solving Two-Step Equations with Fractional Coefficients
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a two-step equation?
Back
A two-step equation is an algebraic equation that requires two operations to solve for the variable.
2.
FLASHCARD QUESTION
Front
How do you isolate a variable in a two-step equation?
Back
To isolate a variable, perform the inverse operations in reverse order: first eliminate the constant term, then the coefficient.
3.
FLASHCARD QUESTION
Front
What is the first step to solve the equation: 3/4x + 2 = 5?
Back
Subtract 2 from both sides to isolate the term with the variable.
4.
FLASHCARD QUESTION
Front
What is the second step to solve the equation: 3/4x = 3?
Back
Multiply both sides by the reciprocal of 3/4, which is 4/3.
5.
FLASHCARD QUESTION
Front
What does it mean to have a fractional coefficient in an equation?
Back
A fractional coefficient means that the variable is multiplied by a fraction, which can complicate the solving process.
6.
FLASHCARD QUESTION
Front
How do you solve the equation: 3/8x + 1/2 = 7?
Back
First, subtract 1/2 from both sides, then multiply by the reciprocal of 3/8 to solve for x.
7.
FLASHCARD QUESTION
Front
What is the solution to the equation: 1/6y - 2 = 4?
Back
Add 2 to both sides, then multiply by 6 to isolate y.
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