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Rational Expressions and Factoring Concepts

Rational Expressions and Factoring Concepts

Assessment

Interactive Video

Mathematics

8th - 10th Grade

Practice Problem

Hard

CCSS
HSA.APR.C.4, HSA.APR.A.1, 3.NF.A.1

+4

Standards-aligned

Created by

Olivia Brooks

FREE Resource

Standards-aligned

CCSS.HSA.APR.C.4
,
CCSS.HSA.APR.A.1
,
CCSS.3.NF.A.1
CCSS.HSA.APR.D.7
,
CCSS.HSA.APR.D.6
,
CCSS.7.EE.A.1
,
CCSS.3.NF.A.2B
,
The video tutorial explains how to divide rational expressions by converting division into multiplication using the reciprocal of the divisor. It emphasizes the importance of simplifying expressions by factoring before multiplying. The tutorial provides detailed examples of factoring quadratic expressions and simplifying them by canceling common factors. It concludes with a final multiplication of the simplified expressions, highlighting the importance of not simplifying across addition or subtraction.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in dividing rational expressions?

Divide the numerators directly

Subtract the denominators

Multiply by the reciprocal of the divisor

Add the numerators

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of a fraction?

The fraction with numerator doubled

The fraction with numerator and denominator interchanged

The fraction itself

The fraction with denominator doubled

Tags

CCSS.HSA.APR.D.7

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What must be done before multiplying rational expressions?

Add the expressions

Divide the expressions

Factor the expressions

Subtract the expressions

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a factor of x^2 - 4x - 12?

x - 2

x + 6

x + 4

x - 6

Tags

CCSS.HSA.APR.C.4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which expression is a difference of squares?

x^2 - 16

x^2 - 4x - 12

x^2 - 2x - 24

x^2 + 4x + 4

Tags

CCSS.HSA.APR.C.4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the factorization of x^2 - 16?

(x + 8)(x - 8)

(x + 4)(x - 4)

(x + 6)(x - 6)

(x + 2)(x - 2)

Tags

CCSS.HSA.APR.D.6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of simplifying x + 4 over x + 4?

4

x

0

1

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