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Factoring and Rational Expressions

Factoring and Rational Expressions

Assessment

Interactive Video

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•
CCSS
7.EE.A.1, HSA.APR.D.6

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.7.EE.A.1
,
CCSS.HSA.APR.D.6
The video tutorial explains how to divide rational expressions by converting the division into multiplication by the reciprocal. It covers the process of factoring trinomials, simplifying expressions by canceling common factors, and ensuring the final expression is in its simplest form. The tutorial provides step-by-step guidance on factoring complex trinomials and emphasizes the importance of checking the sum of inner and outer products to ensure correct factoring.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in dividing rational expressions?

Multiply the fractions directly

Add the fractions

Convert the division into multiplication by the reciprocal

Convert the division into subtraction

Tags

CCSS.HSA.APR.D.6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of a fraction c/d?

c-d

1/(c+d)

d/c

c/d

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When factoring 6x^2 - 7x + 2, what method is used?

Using the quadratic formula

Grouping

Trial and error

Completing the square

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the expression 6x^2 - 7x + 2, what are the factors of 6x^2?

6x and x

3x and 2x

Both A and B

None of the above

Tags

CCSS.7.EE.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the greatest common factor of 4x - 8?

x

4

2

8

Tags

CCSS.7.EE.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of factoring out the greatest common factor from 4x - 8?

x + 2

2x - 4

4x - 2

x - 2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which pair of numbers are the factors of 6 that add up to -5 in the trinomial x^2 - 5x + 6?

-6 and 1

-3 and -2

6 and -1

3 and 2

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