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Binomial Expansion Worksheet

Practice binomial expansion using Pascal's Triangle and the binomial theorem for Grade 9 algebra students.

Grade 9 Math AlgebraBinomial Expansion
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.APR.C.5

Topics

algebrabinomial expansionPascal's Trianglepolynomialsgrade 9 math
7 sections · Free to use · Printable
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Binomial Expansion Practice

Name:

Date:

Score:

Read each question carefully and provide the best answer. Show all your work for full credit.

1. Write out the first 6 rows of Pascal's Triangle.

2. The binomial theorem provides a formula for expanding any   raised to a positive integer power.

3. The coefficients in the binomial expansion of (a+b)^n are given by the numbers in the nth row of  .

4. What is the coefficient of the x² term in the expansion of (x + 3)³?

a

1

b

3

c

9

d

27

5. Expand the expression (2x + y)³.

6. Expand the expression (a - 3b)⁴.

7. The expansion of (x + y)ⁿ has n terms.

T

True

F

False