
ASB Week 8 Practice
Presentation
•
Mathematics
•
6th - 8th Grade
•
Practice Problem
•
Hard
Standards-aligned
Teresa Wheeland
FREE Resource
3 Slides • 7 Questions
1
ASB Week 8 Math Practice
Events with two outcomes
Binomial expansion
2
Events with Two Outcomes
Examples
Flipping a Coin
Male/Female
How to solve:
3
Multiple Choice
EXAMPLE: If four coins are flipped, what is the probability of getting two heads and two tails?
83
41
165
21
4
Multiple Choice
YOU TRY: If three coins are flipped, what is the probability of getting one heads and two tails?
43
83
85
167
5
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.
6
Multiple Choice
EXAMPLE: When (x+1)4 is expanded, the fourth term is ______.
1
4
6
3
7
Multiple Choice
YOU TRY: When (x+1)5 is expanded, the third term is ______.
5
10
6
1
8
Multiple Choice
EXAMPLE: When (2x−1)3 is expanded, the second term is ______.
−6x2
3x2
6x2
1
9
Multiple Choice
EXAMPLE: When (3x−1)4 is expanded, the second term is ______.
−12x3
12x3
4x3
1
10
Multiple Choice
EXAMPLE: There are 7 terms in the expansion of (3x−y)2n . Determine the value of n.
3
6
12
7
ASB Week 8 Math Practice
Events with two outcomes
Binomial expansion
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