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Dividing and Factoring Expressions

Dividing and Factoring Expressions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to factor an algebraic expression by identifying and using the greatest common factor (GCF). It begins with an introduction to the concept of factoring, followed by identifying the GCF in both numbers and variables. The tutorial then provides a step-by-step guide to factoring the expression, highlighting common mistakes students make, such as omitting terms that are the GCF. The importance of including all terms to ensure the expression is complete is emphasized.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in factoring an algebraic expression?

Add all coefficients

Multiply all terms

Identify the greatest common factor

Divide by the smallest coefficient

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of factoring an algebraic expression?

To simplify the expression

To make it more complex

To change the variables

To add more terms

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the greatest common factor of the numbers 14, 21, and 7?

21

14

7

3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is the greatest common factor of y^3, y^2, and y?

1

y^2

y^3

y

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the smallest exponent among y^3, y^2, and y?

0

2

3

1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After factoring out 7y from 14y^3, what is the remaining term?

y^3

7y^2

14y^2

2y^2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of dividing -21y^2 by 7y?

-7y

-3y

-21y

-3y^2

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