Sigma and the Binomial Theorem

Sigma and the Binomial Theorem

11th Grade

β€’

20 Qs

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Sigma and the Binomial Theorem

Sigma and the Binomial Theorem

Assessment

Quiz

β€’

Mathematics

β€’

11th Grade

β€’

Practice Problem

β€’

Hard

β€’
CCSS
HSA.APR.C.5, HSF.BF.A.2

Standards-aligned

Created by

Anthony Clark

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20 questions

Show all answers

1.

FILL IN THE BLANK QUESTION

1 min β€’ 1 pt

A _______ theorem that gives the expansion formula for (a+b)^n. (Two Words)

Tags

CCSS.HSA.APR.C.5

2.

FILL IN THE BLANK QUESTION

1 min β€’ 1 pt

A form of notation using the symbol sigma to express a series is called_____ (Two Words)

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

1 min β€’ 1 pt

Expand the expression using the Binomial Theorem.

(2x+5)4

2x4 + 40x3 + 300x2 + 1000x +625

16x4 + 160x3 +600x2 +1000x + 625

16x4 + 1000x3 + 600x2 + 160x +625

Tags

CCSS.HSA.APR.C.5

4.

MULTIPLE CHOICE QUESTION

1 min β€’ 1 pt

Media Image

Expand

A

B

C

D

Tags

CCSS.HSA.APR.C.5

5.

MULTIPLE CHOICE QUESTION

1 min β€’ 1 pt

What is the Binomial expansion of (x + 1)5 ?

x5 + 5x4 + 10x3 + 10x2 + 5x + 1

x5 + 5x4 + 15x3 + 15x2 + 5x + 1

x5 + 6x4 + 15x3 + 15x2 + 6x + 1

x5 + 1

Tags

CCSS.HSA.APR.C.5

6.

MULTIPLE CHOICE QUESTION

1 min β€’ 1 pt

What is the binomial expansion of (βˆ’3π‘₯+2𝑦)3?

9π‘₯2βˆ’12π‘₯𝑦+4𝑦2

βˆ’27π‘₯3+54π‘₯2π‘¦βˆ’36π‘₯𝑦2+8𝑦3

27π‘₯3βˆ’54π‘₯2𝑦+36π‘₯𝑦2βˆ’8𝑦3

27π‘₯3βˆ’18π‘₯2π‘¦βˆ’12π‘₯𝑦2+8𝑦3

Tags

CCSS.HSA.APR.C.5

7.

MULTIPLE CHOICE QUESTION

1 min β€’ 1 pt

Media Image

What does this notation represent?

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