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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
3(y-2y2)+4(7-5y)+8(y2-7)
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
(12c+8d)-(7c-5d)
  1. 19c-3d
  2. 19c+13d
  3. 5c-3d
  4. 5c+13d
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply.

(5-3x)(9-6x-8x2)
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
-a2 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.
(3a3-5a2+11)-(6a3-a-2)
  1. 3a3-5a2-a+9
  2. -3a3-4a2+13
  3. 9a3-5a2-a+9
  4. -3a3-5a2+a+13
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Tommy is building a rectangular garden. His dimensions are 5x and 5x-4. Find the area of the rectangular garden he is building in terms of x. (area = lw)
  1. 25x2-20x
  2. 25x2-4
  3. 25x2+5x-4
  4. 25x-20
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply:
(4x-1)(3x+2)
  1. 12x2+3x-2
  2. 12x2-5x+1
  3. 12x2+11x+2
  4. 12x2+5x-2
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 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
What is the product (x+5)(x3-2x-3)?
  1. x4+5x3-2x2-7x-15
  2. x4+5x3-2x2-13x-15
  3. x4+5x3-2x2-10x-15
  4. x4+5x3-2x2-3x-15
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Simplify: 2x3y-3⋅2x-1y3
  1. 1
  2. 4x5y6
  3. 2x2
  4. 4x2
  5. None of the above.
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
3a(2a2-4a+6)
  1. 3a3-a2+18a
  2. 6a2-12a+18
  3. 5a3-a2+9a
  4. 6a3-12a2+18a
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
(-4m-n)-(2m+3n)
  1. -2m-4n
  2. -6m-4n
  3. -6m+2n
  4. -8m-2n
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
1x2-5x+xx-5=
  1. x2+1x(x-5)
  2. x+1x-5
  3. x-1x-5
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
What is the difference (x4-3x2+4x+7)-(x4-6x3+4x)?
  1. 3x3+7
  2. 6x3-3x2+7
  3. 6x3-3x2+8x+7
  4. 3x3+8x+7
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Which polynomial has the factorization (x-10)(x2+10x+100)?
  1. x3-1000
  2. x3-100
  3. x3+100
  4. x3+1000
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
(3x2y3+xy2)(x4y-2x2y2)
  1. 3x4y2-6x4y6+x5y2-2x3y4
  2. 3x6y4-6x4y5+x5y3-2x3y4
  3. 3x6y4-6x4y5+x4y4-2x2y2
  4. 3x4y6-6x5y4+x3y5-2x4y3
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