College Algebra Final

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.). To solve, isolate the radical and then square both sides to eliminate the radical.

Front

How do you check your solutions in radical equations?

Back

Substitute the solutions back into the original equation to verify if they satisfy the equation. If they do not, they are extraneous solutions.

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Back

Front

What is the substitution method for solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

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Back

The solutions are (-3, -6) and (1, 2).

Front

What is the slope-intercept form of a line?

Back

Front

Write the equation of the line with slope 1/3 and y-intercept -2.

Back

Front

What is a square root equation?

Back

A square root equation is an equation that contains a variable within a square root. To solve, isolate the square root and square both sides.

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Front

What is an extraneous solution?

Back

An extraneous solution is a solution that emerges from the process of solving an equation but does not satisfy the original equation.