
Solving Radical Equations and Extraneous Solutions

Interactive Video
•
Mathematics
•
8th - 10th Grade
•
Hard
Standards-aligned

Mia Campbell
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving an equation with one radical?
Multiply both sides by the index
Isolate the radical on one side
Subtract a constant from both sides
Add a constant to both sides
Tags
CCSS.HSA.REI.A.2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first example, what operation is performed after isolating the square root?
Adding a constant to both sides
Dividing both sides by the index
Subtracting a constant from both sides
Squaring both sides of the equation
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of squaring the square root of (X + 6)?
X + 12
X + 6
2X + 6
X^2 + 6
Tags
CCSS.8.EE.A.2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of equation is formed after squaring both sides in the first example?
Linear equation
Exponential equation
Quadratic equation
Cubic equation
Tags
CCSS.HSA.REI.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is an extraneous solution in the first example?
X = -5
X = -2
X = 4
X = 0
Tags
CCSS.HSA.REI.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to check solutions in radical equations?
To find the derivative
To ensure no extraneous solutions
To simplify the equation
To factor the equation
Tags
CCSS.7.EE.B.4A
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving the second example equation?
Multiply both sides by 2
Divide both sides by 2
Add 1 to both sides
Subtract 1 from both sides
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