Solving Radical Equations
Flashcard
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a radical equation?
Back
A radical equation is an equation in which a variable is contained within a radical (square root, cube root, etc.).
Tags
CCSS.HSA.REI.A.2
2.
FLASHCARD QUESTION
Front
How do you isolate a variable in a radical equation?
Back
To isolate a variable in a radical equation, you can square both sides of the equation to eliminate the radical, then solve for the variable.
Tags
CCSS.HSA.REI.A.2
3.
FLASHCARD QUESTION
Front
What is the first step in solving the equation √(x + 3) = 5?
Back
The first step is to square both sides of the equation: (√(x + 3))^2 = 5^2, which simplifies to x + 3 = 25.
Tags
CCSS.HSA.REI.A.2
4.
FLASHCARD QUESTION
Front
What do you do after squaring both sides of a radical equation?
Back
After squaring both sides, solve the resulting equation for the variable and check for 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 the equation but does not satisfy the original equation.
Tags
CCSS.HSA.REI.A.2
6.
FLASHCARD QUESTION
Front
Solve the equation √(2x - 1) = 3.
Back
Square both sides: 2x - 1 = 9. Then, add 1 to both sides: 2x = 10. Finally, divide by 2: x = 5.
Tags
CCSS.HSA.REI.A.2
7.
FLASHCARD QUESTION
Front
What is the importance of checking solutions in radical equations?
Back
Checking solutions is important because squaring both sides can introduce extraneous solutions that do not satisfy the original equation.
Tags
CCSS.HSA.REI.A.2
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