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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
Add the polynomials.

7x2-4x-3 and 2x2-5x-6
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
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
Subtract the polynomials.
(-3z2+9z-4)-(4z2-5+z)
  1. -7z2+8z+1
  2. -z2+8z-9
  3. z2+10z-9
  4. 7z2+4z-3
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Subtract and write the resulting polynomial in descending order of degree.

(10y+13)-(-6y+9)
  1. 16y+22
  2. 20y
  3. -16y-4
  4. 16y+4
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
x(8x-5y)-x(x-6y)-3x(3+3y)
  1. 9x2+15xy-14x
  2. 7x2-8xy-9x
  3. 9x2+xy-18x
  4. 7x2+8xy-9x
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Subtract the polynomials.

7x2-4x-3 and 2x2-5x-6
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
x+5 is described 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
Subtract the polynomials.
(6x3-4x2y+9xy2-2y3)-(xy2-3x2y+4x3-7y3)
  1. 5x3-x2y+5xy2+5y3
  2. 2x3-x2y+8xy2+5y3
  3. 2x3-7x2y+8xy2-9y3
  4. 5x3-5x2y+12xy2-9y3
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
(w7-w2+w)-(w6+w3-w)
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
(2x2-5x-7)+(7x2+3)
  1. 2x2+2x-4
  2. 9x2-5x-4
  3. 9x2-2x-7
  4. 9x4-5x-4
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Subtract: (4x2-2x+8)-(x2+3x-2)
  1. 3x2+x+6
  2. 3x2+x+10
  3. 3x2-5x+6
  4. 3x2-5x+10
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Add the polynomials.

5x-4 and 7x-4
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Simplify the following polynomial expression.
(2x3-3)-(5x3+8)
  1. -3x3+5
  2. -3x3-11
  3. 3x3+5
  4. 3x3+6
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply the monomials.
3x7⋅2x4
  1. 6x11
  2. 5x11
  3. 6x28
  4. 5x28
Grade 9 Quadratic Equations and Expressions CCSS: HSA-APR.A.1
Subtract. (7a2-3a)-(5a2-5a)
  1. 2a2-8a
  2. 2a2+2a
  3. 4
  4. 12a2-8a
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply. (x2+x+1)(x2+x+2)
  1. x4+5x3+4x2-x+4
  2. x4-6x3+4x2+2x+1
  3. x4+2x3+4x2+3x+2
  4. 2x4-2x3+x2+4x+2
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Add the polynomials.
(3x2-4x+7)+(2x3-4x2-6x+5)
  1. 2x3+x2+10x+12
  2. 2x3-x2-10x+12
  3. 2x3−x2+10x-12
  4. 2x3−10x+12-x2
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Subtract the polynomials.

5x-4 and 7x-4
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply and simplify: (x-1)(x2-x+1)
  1. x3+1
  2. x3-1
  3. -x3+2x2-2x+1
  4. x3-2x2+2x-1
  5. None of these are correct
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