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Understanding the Difference of Two Squares

Understanding the Difference of Two Squares

Assessment

Interactive Video

Mathematics

8th - 10th Grade

Practice Problem

Hard

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

Standards-aligned

Created by

Amelia Wright

FREE Resource

Standards-aligned

CCSS.HSA.APR.A.1
,
CCSS.HSA.APR.C.4
The video tutorial explores special products, focusing on cases with opposite signs. It demonstrates the FOIL method using examples like (x-4)(x+4) and (2z-5)(2z+5), highlighting the concept of the difference of two squares. The tutorial explains how middle terms cancel out and emphasizes the importance of recognizing perfect squares. It concludes with an example involving (4r+7y)(4r-7y), reinforcing the idea that order does not affect the product.

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6 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the middle terms when you multiply (x-4)(x+4)?

They add up to a positive number.

They cancel each other out.

They multiply to give a new term.

They remain unchanged.

Tags

CCSS.HSA.APR.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying (x-4)(x+4)?

x^2 + 16

x^2 - 16

x^2 + 8x + 16

x^2 - 8x + 16

Tags

CCSS.HSA.APR.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the expression (2z-5)(2z+5), what is the result after foiling?

4z^2 - 10z + 25

4z^2 + 10z - 25

4z^2 - 25

4z^2 + 25

Tags

CCSS.HSA.APR.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the special product called when multiplying (2z-5)(2z+5)?

Sum of two squares

Product of two squares

Difference of two squares

Square of a binomial

Tags

CCSS.HSA.APR.C.4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying (4r+7y)(4r-7y)?

16r^2 - 14ry + 49y^2

16r^2 - 49y^2

16r^2 + 14ry - 49y^2

16r^2 + 49y^2

Tags

CCSS.HSA.APR.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Does the order of multiplication affect the result in (4r+7y)(4r-7y)?

Yes, it changes the result.

No, the result remains the same.

Yes, but only for certain terms.

No, but it affects the sign.

Tags

CCSS.HSA.APR.A.1

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