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The Binomial Theorem

Authored by Mendy Petti

Mathematics

9th - 11th Grade

8 Questions

TEKS covered

Used 2+ times

The Binomial Theorem
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1.

MULTIPLE CHOICE QUESTION

5 mins • 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

TEKS.MATH.P.5F

2.

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

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Expand

A
B
C
D

Tags

CCSS.HSA.APR.C.5

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Expand: (a+b)2\left(a+b\right)^2   

 a2+ab+b2a^2+ab+b^2  

 a2+2ab+b2a^2+2ab+b^2  

 a2ab+b2a^2-ab+b^2  

 a22ab+b2a^2-2ab+b^2  

Tags

TEKS.MATH.P.5F

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Choose the right Pascal's triangle

Media Image
Media Image
Media Image
Media Image

Tags

TEKS.MATH.P.5F

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Use the binomial theorem to expand  (42z)3\left(4-2z\right)^3  

 6496z+48z2+8z364-96z+48z^2+8z^3  

 6496z+48z28z364-96z+48z^2-8z^3  

 64+96z+48z2+8z364+96z+48z^2+8z^3  

 6464z+144z28z364-64z+144z^2-8z^3  

Tags

TEKS.MATH.P.5F

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Kamali has 7 unique bracelets and is trying to decide which 3 to wear on a date. Use Pascal's Triangle to find the number of different combinations of 3 bracelets that Kamali could choose from the 7 she owns?

7

21

35

1

Tags

TEKS.MATH.P.5F

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