Word Problems Leading to Rational Equations

A Focus on Square Roots

Student Outcomes

• Students solve simple radical equations and understand the possibility of extraneous solutions. They understand that care must be taken with the role of square roots so as to avoid apparent paradoxes.
• Students explain and justify the steps taken in solving simple radical equations.

New York State Common Core Math Algebra II, Module 1, Lesson 28

Worksheets for Algebra 2

Classwork

Exercises 1–4
For Exercises 1–4, describe each step taken to solve the equation. Then, check the solution to see if it is valid. If it is not a valid solution, explain why

• Show Video for the Lesson

Example 1
Solve the following radical equation. Be sure to check your solutions

Exercises 5–15
Solve each radical equation. Be sure to check your solutions.

Compute each product, and combine like terms.

Example 2
Rationalize the denominator in each expression. That is, rewrite the expression so that there is a rational expression in the denominator

Exercises 16–18

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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