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Factoring and Greatest Common Factor

Factoring and Greatest Common Factor

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Practice Problem

Hard

CCSS
7.EE.A.1, 6.EE.A.1

Standards-aligned

Created by

Liam Anderson

FREE Resource

Standards-aligned

CCSS.7.EE.A.1
,
CCSS.6.EE.A.1
The video tutorial explains how to factor out the greatest common factor (GCF) from algebraic expressions. It begins with an introduction to factoring and prime factorization, followed by a detailed breakdown of the prime factorization of specific terms. The tutorial then identifies the GCF and demonstrates how to factor it out from the given terms. Finally, it shows how to rewrite the terms using the GCF and concludes with the final steps in the factoring process.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in factoring out the greatest common factor from an expression?

Add all the terms together.

Write each term separately.

Multiply all the terms.

Identify the smallest term.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of using color coding in the factoring process?

To highlight the incorrect terms.

To confuse the viewer.

To differentiate between different terms.

To make it look colorful.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the prime factorization of the number 8?

2 * 2 * 2

3 * 3

4 * 2

2 * 3

Tags

CCSS.6.EE.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the number of times a variable is multiplied by itself in the context of prime factorization?

It has no significance.

It changes the variable's base.

It reduces the variable's value.

It determines the variable's exponent.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the greatest common factor of two terms?

By dividing the terms.

By subtracting the terms.

By finding the largest common factors.

By adding the terms.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the greatest common factor of 4x^4y and 8x^3y?

4x^3y

x^3y

2x^2y

8x^4y

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When rewriting terms using the greatest common factor, what should you do with the remaining factors?

Ignore them.

Add them to the GCF.

Multiply them by the GCF.

Subtract them from the GCF.

Tags

CCSS.7.EE.A.1

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