ASB Week 8 Practice

Presentation

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Mathematics

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6th - 8th Grade

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Practice Problem

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Hard

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CCSS

HSA.APR.C.5, HSS.CP.B.9

Standards-aligned

Teresa Wheeland

FREE Resource

3 Slides • 7 Questions

ASB Week 8 Math Practice

Events with two outcomes
Binomial expansion

Events with Two Outcomes

Examples

Flipping a Coin
Male/Female

How to solve:

Multiple Choice

EXAMPLE: If four coins are flipped, what is the probability of getting two heads and two tails?

$\frac{3}{8}$

$\frac{1}{4}$

$\frac{5}{16}$

$\frac{1}{2}$

Multiple Choice

YOU TRY: If three coins are flipped, what is the probability of getting one heads and two tails?

$\frac{3}{4}$

$\frac{3}{8}$

$\frac{5}{8}$

$\frac{7}{16}$

Binomial Expansion w/ Pascal's Triangles

Definition

Pascal's Triangle gives us the coefficients for an expanded binomial of the form (a + b)ⁿ, where n is the row of the triangle.
The Binomial Theorem tells us we can use these coefficients to find the entire expanded binomial, with a couple extra tricks thrown in.

Multiple Choice

EXAMPLE: When $\left(x+1\right)^4$ is expanded, the fourth term is ______.

Multiple Choice

YOU TRY: When $\left(x+1\right)^5$ is expanded, the third term is ______.

Multiple Choice

EXAMPLE: When $\left(2x-1\right)^3$ is expanded, the second term is ______.

$-6x^2$

$3x^2$

$6x^2$

Multiple Choice

EXAMPLE: When $\left(3x-1\right)^4$ is expanded, the second term is ______.

$-12x^3$

$12x^3$

$4x^3$

Multiple Choice

EXAMPLE: There are 7 terms in the expansion of $\left(3x-y\right)^{2n}$ . Determine the value of n.

ASB Week 8 Math Practice

Events with two outcomes
Binomial expansion

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