Math III · A-REI.2

Solve simple rational and radical equations and identify extraneous solutions.

Solve simple rational and radical equations and identify extraneous solutions.

Concept Algebra
Domain Reasoning with Equations and Inequalities
Problem Types

Problem Templates In This Objective

13 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Solve a rational equation with one denominator by clearing the denominator and checking restrictions

4 variants
Template 2

Solve a rational equation by clearing denominators and checking restrictions

4 variants
Template 3

Solve a rational equation by clearing denominators and checking excluded values

4 variants
Template 4

Solve a rational equation by clearing denominators and checking restrictions

4 variants
Template 5

Solve a square-root equation with one radical and check for extraneous solutions

4 variants
Template 6

Solve a radical equation with radicals on both sides and check the domain

4 variants
Template 7

Solve a radical equation by squaring and checking for extraneous solutions

4 variants
Template 8

Solve a cube-root equation by isolating the radical and cubing both sides

4 variants
Template 9

Identify domain restrictions before solving a rational or radical equation

4 variants
Template 10

Check whether a proposed value is a valid solution to a rational or radical equation

4 variants
Template 11

Audit and interpret each algebraic candidate in context

4 variants
Template 12

Solve a simple rational or radical equation by removing the denominator or radical and checking for invalid solutions

4 variants
Template 13

Approximate every valid real root with restrictions and tolerance

4 variants