5. Rational Functions & Expressions

Investigation: Modeling tsunami movement

5.01 Simplifying rational expressions

5.02 Adding and subtracting rational expressions

5.03 Multiplying and dividing rational expressions

5.04 Solving equations with rational expressions

5.05 Graphical and analytical solutions to rational equations

United States of America OH

High School

5.03 Multiplying and dividing rational expressions

Interactive practice questions

Simplify the following:

$\frac{c}{p}\times\frac{f}{v}$cp×fv

Easy

< 1min

Simplify the following:

$\frac{7x}{6}\times\frac{5y}{2}$7x6×5y2

Easy

< 1min

Simplify the expression:

$\frac{11s}{7t}\times\frac{3r}{5q}$11s7t×3r5q

Easy

< 1min

Simplify the following:

$\frac{11}{5y}\times\frac{7}{2y}$115y×72y

Easy

< 1min

Outcomes

A.SSE.1

Interpret expressions that represent a quantity in terms of its context.

A.SSE.1.a

Interpret parts of an expression, such as terms, factors, and coefficients.

A.SSE.1.b

Interpret complicated expressions by viewing one or more of their parts as a single entity.

A.SSE.2

Use the structure of an expression to identify ways to rewrite it. For example, to factor 3x(x − 5) + 2(x − 5), students should recognize that the "x − 5" is common to both expressions being added, so it simplifies to (3x + 2)(x − 5); or see x^4 − y^4 as (x2)^2 − (y2)^2, thus recognizing it as a difference of squares that can be factored as (x^2 − y^2)(x^2 + y^2).

A.APR.7

Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.

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