Solving Radical and Rational Exponent Equations
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a radical expression?
Back
A radical expression is an expression that includes a root, such as a square root, cube root, etc. For example, √x or ∛(x+1).
2.
FLASHCARD QUESTION
Front
What is a rational exponent?
Back
A rational exponent is an exponent that is a fraction. For example, x^(1/2) is equivalent to √x, and x^(3/2) is equivalent to √(x^3).
Tags
CCSS.HSN.RN.A.2
3.
FLASHCARD QUESTION
Front
How do you solve an equation with a square root?
Back
To solve an equation with a square root, isolate the square root on one side and then square both sides of the equation to eliminate the square root.
Tags
CCSS.HSA.REI.A.2
4.
FLASHCARD QUESTION
Front
What is the principle of squaring both sides of an equation?
Back
The principle states that if two expressions are equal, then squaring both sides will maintain the equality, but it may introduce extraneous solutions.
Tags
CCSS.HSA.REI.A.2
5.
FLASHCARD QUESTION
Front
What is an extraneous solution?
Back
An extraneous solution is a solution that emerges from the process of solving an equation but does not satisfy the original equation.
Tags
CCSS.HSA.REI.A.2
6.
FLASHCARD QUESTION
Front
How do you check if a solution is valid?
Back
To check if a solution is valid, substitute the solution back into the original equation to see if it holds true.
7.
FLASHCARD QUESTION
Front
What is the first step in solving a rational exponent equation?
Back
The first step is to eliminate the rational exponent by raising both sides of the equation to the power of the denominator of the exponent.
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