Square of Binomial
Sum & Difference of Two Terms
Cube of Binomial
Mixed Category (Multiple Choice)
100

What is the missing term?
(2a + 5)2 = 4a2 + ___ + 25

A. 10a               B. 7a

C. 20a               D. 3a

C. 20a  

100

The product of sum and difference of two terms is called

DOTS - Difference of Two Squares

100

What is the Volume of Cube with side length s?

V = s3​​​​
100

Which special product pattern represents (a + b)(a - b) when simplified?

A. square of a binomial                                        

B. difference of two squares    

C. perfect square trinomial                                   

D. sum of two squares

B. difference of two squares  

200

This terminology is used as the result of squaring a binomial.

PST - Perfect Square Trinomial

200

When you multiply (2x - 10y) to itself, the answer will be 4x2 - 100y2. Is this statement TRUE or FALSE?

FALSE

200

Complete the pattern: 

(𝑎−𝑏)3 = 𝑎3 _____ + 3𝑎𝑏2 − 𝑏3

− 3𝑎2𝑏

200

What is the coefficient of the middle term in the expansion of (x + 4)2

A. 4                                     B. 8                               C. 16                                   D. 2

B. 8

300

What binomial is the conjugate of (p + 3)?

(p - 3)

300

This is a pair of binomials (two‑term expressions) that look the same, except the sign between the terms is opposite.

CONJUGATES

300

In (10x – 6y)3, what is the cube of a and b?

100x3

-216y3

300

Multiplying (x+8) and (x−8) will result to x2 - 64, why is there no x-term in the result?

A. The middle terms are additive inverses, so they cancel each other out.
B. The constant terms cancel before multiplication.
C. The x2-term cancels with the constant term.
D. Multiplying a positive and a negative number always removes the x-term.

A. The middle terms are additive inverses, so they cancel each other out.

400

What is the product of (x + 5)(x + 5)?

x2 + 10x + 25

400

Multiplying: (1/3 + 4x) (1/3  - 4x) will result to: 

1/9 - 16x2

400

Expand: (x + 5)3

x3 + 15x2 + 75x + 125

400

Which expression is the difference of two squares?

A. x2 – 2                             B. x2 – 25                

C. 2x2 – 25                         D. x2 – x – 25

B. x2 – 25  

500

Use special products to answer: (−3𝑎+7)2

9a2 – 42a + 49

500

Simplify: (4x + 5y)(4x – 5y)

16x2 – 25y2

500

Your classmate expands (a − 3)3 and writes: a3 − 9a2 + 27a − 27. Is the classmate’s solution accurate? If not, what is the correct expansion?

YES. IT'S ACCURATE

500

Using the sum and difference of two terms, what is the product when you multiply 101 by 99?

A. 999                          B. 99,999

C. 9,999                        D. 10,000

C. 9,999

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