HSA.APR.C.5 math practice. Learn by doing.

HSA.APR.C.5 practice covers know and apply the Binomial Theorem for the expansion of (x + y)ⁿ in powers of x and y for a positive integer n. Work through 8 free questions with answers and explanations, then continue in the related math games.

Grade 111 mapped skills
What it covers

Skills aligned to HSA.APR.C.5

Binomial theorem and factorials

Grade 1115 questions
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8 free questions · 0/0 correct

Practice playeasy

What is C(5,2)C(5, 2)?

C(5,2)=5!2!⋅3!=1202⋅6=10C(5,2) = \dfrac{5!}{2! \cdot 3!} = \dfrac{120}{2 \cdot 6} = 10.

Practice playeasy

What is 4!4!?

4!=4×3×2×1=244! = 4 \times 3 \times 2 \times 1 = 24.

Practice playeasy

What is C(4,1)C(4, 1)?

C(4,1)=4!1!⋅3!=241⋅6=4C(4,1) = \dfrac{4!}{1! \cdot 3!} = \dfrac{24}{1 \cdot 6} = 4.

Practice playeasy

What is 3!3!?

3!=3×2×1=63! = 3 \times 2 \times 1 = 6.

Practice playeasy

What is C(5,3)C(5, 3)?

C(5,3)=5!3! (5−3)!=10C(5,3) = \dfrac{5!}{3!\,(5-3)!} = 10.

Practice playeasy

What is 6!6!?

6!=6×5×4×3×2×1=7206! = 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 720.

Practice playeasy

What is C(6,3)C(6, 3)?

C(6,3)=6!3! (6−3)!=20C(6,3) = \dfrac{6!}{3!\,(6-3)!} = 20.

Practice playeasy

What is 2!2!?

2!=2×1=22! = 2 \times 1 = 2.

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Tests that assess these skills:
ACTDC CAPEGeorgia MilestonesPARCCPSAT/NMSQT
Test reporting domains
ACT All grades: Preparing for Higher MathDC CAPE Algebra I: Arithmetic with Polynomials and Rational ExpressionsDC CAPE Algebra II: Polynomial, Rational, and Radical RelationshipsGeorgia Milestones Algebra I: Arithmetic with Polynomials and Rational ExpressionsGeorgia Milestones Algebra II: Arithmetic with Polynomials and Rational ExpressionsMAAP High School Courses: Algebra I/Integrated Algebra domains
Nearby standards
HSA.APR.A.1HSA.CED.A.1All Common Core standards