Solving Equations with Fraction Coefficients
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the process for solving an equation with a fraction coefficient?
Back
To solve an equation with a fraction coefficient, first eliminate the fractions by multiplying every term by the least common denominator (LCD). Then, simplify and isolate the variable.
2.
FLASHCARD QUESTION
Front
How do you isolate a variable in an equation?
Back
To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side. This may involve adding, subtracting, multiplying, or dividing.
3.
FLASHCARD QUESTION
Front
What is the least common denominator (LCD) and why is it important?
Back
The least common denominator (LCD) is the smallest multiple that two or more denominators share. It is important because it allows you to eliminate fractions in equations, making them easier to solve.
4.
FLASHCARD QUESTION
Front
What does it mean to solve an inequality?
Back
Solving an inequality involves finding the range of values for the variable that makes the inequality true, often resulting in a solution expressed as an interval or a set of values.
5.
FLASHCARD QUESTION
Front
What is the difference between an equation and an inequality?
Back
An equation states that two expressions are equal, while an inequality shows that one expression is greater than, less than, or not equal to another.
6.
FLASHCARD QUESTION
Front
How do you check your solution to an equation?
Back
To check your solution, substitute the value back into the original equation to see if both sides are equal.
7.
FLASHCARD QUESTION
Front
What is a coefficient in an algebraic expression?
Back
A coefficient is a numerical factor that multiplies a variable in an algebraic expression.
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