Solving Radical Equations
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
FREE Resource
Student preview
15 questions
Show all answers
1.
FLASHCARD QUESTION
Front
What is a radical equation?
Back
An equation that contains a variable within a radical (square root, cube root, etc.).
Tags
CCSS.HSA.REI.A.2
2.
FLASHCARD QUESTION
Front
How do you solve a radical equation?
Back
Isolate the radical on one side, then square both sides to eliminate the radical, and solve for the variable.
Tags
CCSS.HSA.REI.A.2
3.
FLASHCARD QUESTION
Front
Why is it important to check your answers when solving radical equations?
Back
To ensure that the solutions are valid, as squaring both sides can introduce extraneous solutions.
Tags
CCSS.HSA.REI.A.2
4.
FLASHCARD QUESTION
Front
What is an extraneous solution?
Back
A solution that emerges from the process of solving the equation but does not satisfy the original equation.
Tags
CCSS.HSA.REI.A.2
5.
FLASHCARD QUESTION
Front
What is the first step in solving the equation √(x + 3) = 5?
Back
Square both sides to eliminate the radical: x + 3 = 25.
Tags
CCSS.HSA.REI.A.2
6.
FLASHCARD QUESTION
Front
Solve the radical equation: √(x - 1) = 4.
Back
x = 17.
Tags
CCSS.HSA.REI.A.2
7.
FLASHCARD QUESTION
Front
Solve the radical equation: √(2x + 4) = 6.
Back
x = 14.
Tags
CCSS.HSA.REI.A.2
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