Mary Jane Sterling - Algebra I - 1001 Practice Problems For Dummies (+ Free Online Practice)

662.

663.

664–667 Check to see which of the given values are roots of the equation.

664. Given , check to see whether 2, –2, 3, or 4 is a root.

665. Given , check to see whether 1, –1, 3, or –3 is a root.

666. Given , determine whether 1, –1, 2, or –2 is a root.

667. Given , determine whether 1 or –1 are roots.

668–685 Solve for all real roots.

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669.

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Chapter 16

Aradical equation contains at least one term that’s a square root, cube root, or some other root. When solving radical equations, you apply a method that’s effective but comes with a built-in error possibility; you may find (and need to recognize) extraneous solutions. You need to rewrite absolute value equations to solve them. The solutions of the rewrites are then the solutions of the original equation.

Here’s just a sampling of the radical things you work on in this chapter:

Rewriting equations with only two terms and squaring both sides to solve

Squaring both sides of an equation when starting with three terms

Dealing with more than one radical term

Catching extraneous solutions

Graphing absolute value statements for clarity

Solving absolute value equations after writing corresponding equations

Checking for nonsense answers

Here are a few things that may rock your boat, so be on the lookout:

Squaring binomials correctly and not forgetting the middle term

Factoring statements containing radicals correctly

Checking for extraneous solutions by using the original equation, not the version changed in the process

Catching impossible situations in initial absolute value equations

686–689 Solve each radical equation by squaring both sides.

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