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Lesson Plans and Worksheets for Algebra II

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More Lessons for Algebra

Common Core For Algebra

Student Outcomes

- Students multiply and divide rational expressions and simplify using equivalent expressions.

Worksheets for Algebra II, Module 1, Lesson 24

Classwork

If 𝑎, 𝑏, 𝑐, and 𝑑 are rational expressions with 𝑏 ≠ 0, 𝑑 ≠ 0, then

a/b ∙ c/d = ac/bd

Exercises

Example 1

Make a conjecture about the product 𝑥^{3}/4𝑦 ∙ 𝑦^{2}/𝑥. What will it be? Explain your conjecture, and give evidence that it is correct.

Example 2

Find the following product:

Exercises 1–3

- Summarize what you have learned so far with your neighbor.
- Find the following product and reduce to lowest terms
- Find the following product and reduce to lowest terms

Example 3

Find the quotient and reduce to lowest terms:

Exercises 4–5

- Find the quotient and reduce to lowest terms:
- Simplify the rational expression.

Lesson Summary

In this lesson, we extended multiplication and division of rational numbers to multiplication and division of rational expressions.

- To multiply two rational expressions, multiply the numerators together and multiply the denominators together, and then reduce to lowest terms.
- To divide one rational expression by another, multiply the first by the multiplicative inverse of the second, and reduce to lowest terms.
- To simplify a complex fraction, apply the process for dividing one rational expression by another.

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