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Common Core Standard HSA-APR.A.1 Questions

Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

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Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
3x2(8x3+3x2-4)
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Add the polynomials.

4x+2+6x-5̲
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Combine the polynomial:
(5x2-4x+2)-(x2-7x+9)
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Add.
(-4x2+7x-11)+(6x3-7x+10)
  1. 2x2+x-1
  2. 6x3-4x2-1
  3. -2x3-x+1
  4. 10x2+14x+21
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply.
2x3y⋅(-5x2y+9xy-4y2+x-3)
  1. -10x5y2+18x4y2-8x3y3+2x4y-6x3y
  2. 2x3y-5x2y+9xy-4y2+x-3
  3. -10x6y+9x3y-4y2+2x3-6
  4. -3x6y2+11x3y2-2x3y2+2x4y-x3y
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
(3x2-4)+(4x3+2x2+4x)
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
x2+2x is classified as which of the following?
(select all that apply)
  1. Monomial
  2. Binomial
  3. Trinomial
  4. Polynomial
  5. None of the above
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Add the polynomials.
(4a2+b2+a-5c+7)+(c2-5+a-3b2-6a2)
  1. 4a2-3b2-4c2+2a+7
  2. 10a2+4b2+c2+2a+5c+12
  3. 4a2c2+ab2-8b2c-a2-5a
  4. -2a2-2b2+c2+2a-5c+2
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply.
3x(5x3+2x2-7x)
  1. 15x3+3x2-21x
  2. 15x4+6x3-21x2
  3. 5x3+2x2-4x
  4. 8x4+5x3-4x2
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
(2x2-x+2)(6x-4)
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
3x2+x-5 is classified as which of the following?
(select all that apply)
  1. Monomial
  2. Binomial
  3. Trinomial
  4. Polynomial
  5. None of the above
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Add. Leave answer in simplest form.
(3m2-5n2+2m+6n-3)+(4-4n2+5m-12n+2m2)
  1. 7m2-2m-6n-1
  2. 5m2-9n2+7m-6n+1
  3. 5m2+9n2+7m+18n+7
  4. 3m2-5n2+7m-6n-1
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Find the difference:
(5x4-2x3+9)-(-2x4+8x2-x+2)
  1. 7x4-2x3-8x2+x+7
  2. 3x4-2x3+8x2-x+11
  3. 7x4-10x3-x++7
  4. 7x4-2x3-8x2-x+7
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
(9m2+3m)+(11m2-m)
  1. 20m2-2m
  2. 20m4-3
  3. 20m2+2m
  4. 20m4+m2
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
5x3-y2+3x+12y-5 is classified as which of the following?
(select all that apply)
  1. Monomial
  2. Binomial
  3. Trinomial
  4. Polynomial
  5. None of the above
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Add the polynomials.
(5z2-4z+4)+(-3z-z2+5)
  1. 2z2-5z+9
  2. 6z2+7z+9
  3. 8z2+5z+9
  4. 4z2-7z+9
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