Solving Radical Equations Practice

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

Front

How do you isolate a radical in an equation?

Back

To isolate a radical, you can move all other terms to the opposite side of the equation.

Tags

CCSS.HSA.REI.A.2

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

Front

What is the importance of checking your solutions in radical equations?

Back

Checking is crucial because squaring both sides can introduce extraneous solutions.

Tags

CCSS.HSA.REI.A.2

Front

Solve the equation √(x - 1) = 3. What is x?

Back

x = 10.

Tags

CCSS.HSA.REI.A.2

Front

What does it mean if a radical equation has no solution?

Back

It means that there are no values for the variable that satisfy the equation.

Tags

CCSS.HSA.REI.A.2

Front

How do you solve the equation √(2x + 4) = 6?

Back

Square both sides: 2x + 4 = 36, then solve for x: x = 16.

Tags

CCSS.HSA.REI.A.2

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

Front

Solve the equation √(x + 2) + 3 = 7. What is x?

Back

x = 7.

Tags

CCSS.HSA.REI.A.2

Front

What is the general form of a radical equation?

Back

A radical equation can be expressed as f(x) = √g(x), where g(x) is a polynomial.

Tags

CCSS.HSA.REI.A.2