Algebra 2 Final Review Solving

Front

Solve for x: 2(x-7)² - 48 = 4

Back

x = 7 ± √26

Front

Solve for x: (2/3)(2x-3) + 5 = (1/2)(x+4)

Back

x = 24/5

Front

Solve for x: √(2x-1) + 5 = 2

Back

No Solution

Front

Solve for x: √(x+23) = x + 3

Back

x = 2

Front

Solve for x: (1/2)(x-4)^(2/3) - 3 = 5

Back

x = 72, -64

Front

Definition: Extraneous Solution

Back

A solution that emerges from the process of solving but is not a valid solution to the original equation.

Front

Definition: Square Root Property

Back

If x² = a, then x = ±√a.

Front

Definition: Isolate the variable

Back

To rearrange an equation so that the variable is on one side and all other terms are on the other side.

Front

Definition: Rational Equation

Back

An equation that involves a fraction whose numerator and/or denominator is a polynomial.

Front

Definition: Check for extraneous solutions

Back

Substituting the solution back into the original equation to verify if it holds true.