Multiplying rational expressions

Multiplying rational expressions

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Medium

Created by

Wayground Content

Used 6+ times

FREE Resource

The video tutorial explains how to simplify and multiply rational expressions. It begins with an introduction to simplification, followed by detailed steps on factoring trinomials with non-unitary leading coefficients. The tutorial then covers the difference of squares method and proceeds to factor binomials. Finally, it demonstrates the final steps in simplifying rational expressions, resulting in a concise solution.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it necessary to simplify expressions before multiplying them?

To change the expression completely

To add more terms to the expression

To ensure terms can be divided out

To make the expressions longer

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in factoring the trinomial 2X^2 + 5X + 2?

Finding two numbers that multiply to 5

Breaking it into two possible factors

Adding all terms together

Ignoring the coefficients

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the expression 4X^2 - 1 be rewritten using the difference of squares?

(2X + 1)(2X - 1)

(X + 1)(X - 1)

(2X + 2)(2X - 2)

(4X + 1)(4X - 1)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What must the middle term add up to when factoring the expression 2X^2 + X - 1?

Two

Zero

Negative one

One

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a correct factorization of 2X^2 + X - 1?

(2X + 1)(X - 1)

(2X + 2)(X - 1)

(2X - 1)(X + 1)

(X + 2)(X - 1)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified form of the expression after dividing out common terms?

X + 2 / X - 2

X + 1 / X - 1

2X + 1 / 2X - 1

X + 1 / X + 2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of dividing across multiplication in rational expressions?

To change the expression's variables

To simplify the expression

To make the expression more complex

To increase the number of terms

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