Understanding and applying the binomial theorem

Understanding and applying the binomial theorem

9th - 12th Grade

20 Qs

quiz-placeholder

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Understanding and applying the binomial theorem

Understanding and applying the binomial theorem

Assessment

Quiz

Mathematics

9th - 12th Grade

Hard

CCSS.HSA.APR.C.5, AII.9-12.7.B, P.9-12.5.F

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

which number is a coefficient found in the eighth row?

36

70

284

5

1452

Tags

CCSS.HSA.APR.C.5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Expand the binomial using Pascal's Triangle.

A

B

C

D

Tags

CCSS.HSA.APR.C.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

True or False:
The coefficients of the 3rd and the 7th terms in the expansion of

 (x+y)8\left(x+y\right)^8  are identical.

True

False

Tags

CCSS.HSA.APR.C.5

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If you expand (x + 1)6 using the binomial theorem, which describes BEST what you do?

You multiply (x + 1) by itself 6 times

You use patterns with exponents and pascal's triangle row 6 to find the answer.

You use the numbers from row 6 of Pascal's triangle to write 7 terms.

You distribute the exponent of 6.

Tags

CCSS.HSA.APR.C.5

5.

FILL IN THE BLANK QUESTION

1 min • 1 pt

According to Pascal's triangle, you would multiply the fourth term of the 8th degree binomial expansion by the number __________.

Tags

AII.9-12.7.B

P.9-12.5.F

6.

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, 6, 15, 20, 15, 6, 1

1, 7, 21, 35, 21, 7, 1

Tags

CCSS.HSA.APR.C.5

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How do you create Pascal's Triangle?
The first row is all 1's, 2nd all 2's, third all 3's, etc.
1's all the way down on the outside of both right and left sides, then add the two numbers above each space to complete the triangle.
Use the perfect square numbers
Count by twos

Tags

CCSS.HSA.APR.C.5

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