Radical equations

Isolate the radical, raise both sides to a power, and check for extraneous solutions.

Standards:A-REI.A.2

Try it: three questions

Real questions from the practice bank. Tap an answer to check it.

Question 1 of 3

Solve for x: √(2x + 5) = 7

Question 2 of 3

Solve for x: √(3x + 1) = 5

Question 3 of 3

Solve for x: √(x − 3) + 4 = 9

How this fits in

Radical equations is one skill in the Advanced Algebra unit. Students read the unit lesson, then earn a bronze, silver, or gold medal on their last 10 answers. Medals never go down. A mastered unit comes back for review after 1, 3, 7, 16, and 35 days so it stays learned.

Polynomial operations and long division
The remainder and factor theorems
Rational expressions
Rational equations
Radical expressions and rational exponents
Exponential growth and decay
Logarithms and logarithmic equations
Complex numbers
Function composition and inverses

Practice radical equations until it sticks

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