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Common Core Standard HSA-APR.C.5 Questions

(+) Know and apply the Binomial Theorem for the expansion of (x + y)n in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal’s Triangle.1

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Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.5
Use Pascal's triangle to expand [math](x+y)^3[/math]
  1. [math] (x+y)^3=x^3+y^3 [/math]
  2. [math](x+y)^3=x^1+x^2+x^3+y^1+y^2+y^3 [/math]
  3. [math](x+y)^3=x^3+x^2y+xy^2+y^3 [/math]
  4. [math](x+y)^3=xy+x^2y^2+x^3y^3 [/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.5
If a coin is flipped 15 times how many ways can you get 8 heads?
  1. [math]6435[/math]
  2. [math]5.27*10^27[/math]
  3. [math]32432400[/math]
  4. [math]3.24*10^5[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.5
Use Pascal's triangle to expand [math](x+y)^5[/math]
  1. [math] (x+y)^5=x^5+x^4y+x^3y^2+x^2y^3+xy^4+y^5 [/math]
  2. [math](x+y)^5=x^1+x^2+x^3+x^4+x^5+y^1+y^2+y^3+y^4+y^5 [/math]
  3. [math] (x+y)^5=x^5+y^5 [/math]
  4. [math](x+y)^5=xy+x^2y^2+x^3y^3+x^4y^4+x^5y^5 [/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.5
If a coin is flipped 5 times how many ways can you get 4 tails?
  1. [math]20[/math]
  2. [math]1[/math]
  3. [math]2880[/math]
  4. [math]5[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.5
If a coin is flipped 18 times how many ways can you get 2 tails?
  1. [math]1.28*10^16[/math]
  2. [math]153[/math]
  3. [math]3.2*10^15[/math]
  4. [math]306[/math]

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