Mastering Binomial Expansion

Mastering Binomial Expansion

12th Grade

10 Qs

quiz-placeholder

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Mastering Binomial Expansion

Mastering Binomial Expansion

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Medium

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

Standards-aligned

Created by

NURSUHANA IPG-Pensyarah

Used 1+ times

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

What is the binomial coefficient for the term x^3 in the expansion of (x + 2)^5?

40

20

50

30

Tags

CCSS.HSA.APR.C.5

2.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Expand the expression (3x - 4)^4 using the binomial theorem.

27x^4 - 48x^3 + 36x^2 - 16x + 64

81x^4 + 108x^3 + 144x^2 + 64x + 256

81x^4 - 54x^3 + 36x^2 - 16x + 256

81x^4 - 108x^3 + 144x^2 - 64x + 256

Tags

CCSS.HSA.APR.C.5

3.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Identify the binomial coefficient for the term y^2 in the expansion of (2y + 5)^6.

25000

45000

30000

37500

Tags

CCSS.HSA.APR.C.5

4.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Using the binomial expansion, what is the coefficient of x^2 in (x + 1)^6?

15

10

20

5

Tags

CCSS.HSA.APR.C.5

5.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Expand (a + b)^3 and list all the terms with their coefficients.

a^3 + 3a^2b + 2ab^2 + 2b^3

a^3 + 3a^2b + 3ab^2 + b^3

a^3 + 2a^2b + 4ab^2 + b^3

a^3 + 3a^2b + 3ab^2 + 2b^3

Tags

CCSS.HSA.APR.C.5

6.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

What is the value of the binomial coefficient C(5, 2)?

5

15

10

20

Tags

CCSS.HSA.APR.C.5

7.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Expand (2x - 3y)^2 and simplify the expression.

4x^2 - 12xy + 9y^2

8x^2 - 9y^2

2x^2 - 6xy + 3y^2

4x^2 + 6xy + 9y^2

Tags

CCSS.HSA.APR.C.4

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