Binomial Theorem

Binomial Theorem

11th - 12th Grade

12 Qs

quiz-placeholder

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Binomial Theorem

Binomial Theorem

Assessment

Quiz

Mathematics

11th - 12th Grade

Practice Problem

Hard

CCSS
HSA.APR.C.5, HSA.APR.C.4, HSA.APR.B.2

Standards-aligned

Created by

Barbara White

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12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is row 7 of Pascal's Triangle?
1, 5, 10, 5, 1
1, 5, 10, 10, 5, 1
1, 7, 21, 35, 35, 21, 7, 1
1, 7, 21, 35, 21, 7, 1

Tags

CCSS.HSA.APR.C.5

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Expand (x−7)2

x2 - 14x + 49

-x2 - 14x - 49

x2 + 14x - 49

49x2

Tags

CCSS.HSA.APR.C.4

3.

MULTIPLE CHOICE QUESTION

5 mins • 12 pts

Select the coefficients of the 5th Row in Pascal's Triangle

1;3;3;1

1;4;6;4;1

1;5;10;10;5;1

1;6;15;20;15;6;1

Tags

CCSS.HSA.APR.C.5

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Expand
(b - 2)3
b3 - 2b2 + 4b - 8
5b3 - 20b2 + 40b - 40
b3 - 6b2 + 12b - 8
4b3 - 12b2 + 16b - 8

Tags

CCSS.HSA.APR.C.5

5.

MULTIPLE CHOICE QUESTION

5 mins • 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

5 mins • 1 pt

Expand (d-5)5

d5 - 25 d4 + 250 d3 - 1250 d2 + 3125 d - 3125

d5 + 25 d4 + 250 d3 + 1250 d2 + 3125 d + 3125

d4 - 20d3 + 150d2 - 750d + 3125

d4 + 20d3 + 150d2 + 750d + 3125

Tags

CCSS.HSA.APR.C.5

7.

OPEN ENDED QUESTION

5 mins • 1 pt

Evaluate responses using AI:

OFF

Tags

CCSS.HSA.APR.B.2

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