Math III · A-APR.7

Add, subtract, multiply, and divide rational expressions as a closed system like rational numbers.

Add, subtract, multiply, and divide rational expressions as a closed system like rational numbers.

Concept Algebra
Domain Arithmetic with Polynomials and Rational Expressions
Problem Types

Problem Templates In This Objective

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

Template 1

Multiply rational expressions and preserve original-domain restrictions

4 variants
Template 2

Divide rational expressions with denominator and zero-divisor restrictions

4 variants
Template 3

Add rational expressions that already have a common denominator, then simplify and state restrictions

4 variants
Template 4

Subtract rational expressions over a common denominator with restrictions

4 variants
Template 5

Add unlike rational expressions with an LCD and domain restrictions

4 variants
Template 6

Subtract unlike rational expressions with an LCD and restrictions

4 variants
Template 7

Simplify a complex rational expression with all restriction sources

4 variants
Template 8

State restrictions before simplifying a rational expression

4 variants
Template 9

Model rate and work contexts with algebraic and physical domains

4 variants
Template 10

Decide whether two rational expressions are equivalent

4 variants
Template 11

Add rational expressions by factoring, simplifying, and stating denominator restrictions

4 variants
Template 12

Simplify a rational operation and state all original restrictions

4 variants