Adding And Subtracting Rational Expressions

Adding and Subtracting Rational Expressions

Presentation

•

Mathematics

•

10th - 12th Grade

•

Medium

•

CCSS

HSA.APR.D.7

Standards-aligned

Jacqueline Pfaltz

Used 153+ times

FREE Resource

6 Slides • 5 Questions

Adding and Subtracting Rational Expressions

11/10

Open Ended

Do Now: Add/subtract the following rational numbers.

\frac{a}{m}+\frac{b}{2m}-\frac{c}{m}

Type response here

Adding/Subtracting Rational Expressions

Exact same procedure as adding/subtracting fractions
Must have a common denominator!
Once you have a common denominator, you add/subtract the numerators

Multiple Choice

Try on your own: Add the following expressions. Simplify Completely

$\frac{x-3}{5\left(x-8\right)}$

$\frac{3x-3}{x^2-2x-20}$

$\frac{x^2+2x-15}{5\left(x+5\right)\left(x-8\right)}$

Can't add these

Subtracting Rational Expressions!

Same as adding rational expressions, but one extra thing!
DISTRIBUTE THE NEGATIVE ALL THE WAY THROUGH

Multiple Choice

Try on your own: Subtract the following expressions. Simplify completely.

$\frac{x^2+4x-12}{\left(x-2\right)\left(x+2\right)\left(x+10\right)}$

$\frac{x+6}{\left(x+2\right)\left(x+10\right)}$

$\frac{x-6}{8x-24}$

Can't subtract these

Multiple Select

What do you have to do when adding or subtracting rational expressions? Check all that apply.

Find a common denominator

Solve for x

Simplify completely

Nothing

Distribute the negative (Subtracting only)

Poll

How confident are you with adding/subtracting rational expressions?

Adding and Subtracting Rational Expressions

11/10

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