When adding and subtracting rational expressions, my first step should be to:

Determine a Least Common Denominator.

Combine like terms in the numerators.

Factor all of the numerators and all of the denominators.

Change the operator to multiplication and reciprocate the second fraction.

Add 2 x − 3 + 3 x + 2 \frac{2}{x-3}+\frac{3}{x+2} x − 3 2 + x + 2 3

5 x − 5 ( x − 3 ) ( x + 2 ) \frac{5x-5}{\left(x-3\right)\left(x+2\right)} ( x − 3 ) ( x + 2 ) 5 x − 5

2 x − 1 ( x − 3 ) ( x + 2 ) \frac{2x-1}{\left(x-3\right)\left(x+2\right)} ( x − 3 ) ( x + 2 ) 2 x − 1

5 x − 1 \frac{5}{x-1} x − 1 5

1 − 2 x ( x − 3 ) ( x + 2 ) \frac{1-2x}{\left(x-3\right)\left(x+2\right)} ( x − 3 ) ( x + 2 ) 1 − 2 x

To simplify a rational expression, I should

Factor the numerator and denominator and eliminate common factors.

Eliminate common terms in the numerator and denominator.

Combine like terms in the numerator and denominator.

Operations of Rational Expressions

Authored by Lindsey Szczepanek

Mathematics

9th - 12th Grade

CCSS covered

Used 13+ times

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Multiply and Simplify

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Multiply and Simplify

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Divide and Simplify

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify

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CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify.

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Add and Simplify.

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

CHALLENGE PROBLEM: Hmmm... $x^3$
Multiply the Rational Expression

Tags

CCSS.HSA.APR.D.7

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Operations of Rational Expressions

Multiply and Simplify

Multiply and Simplify

Divide and Simplify

Simplify

Simplify.

Add and Simplify.

CHALLENGE PROBLEM: Hmmm... x3x^3x3 Multiply the Rational Expression

Divide the Rational Expression

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CHALLENGE PROBLEM: Hmmm... $x^3$
Multiply the Rational Expression