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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
Multiply. Simplify fully.
(4y3)(7y5)
  1. 11y8
  2. 28y3
  3. 4y37y5
  4. 28y8
Grade 9 Quadratic Equations and Expressions CCSS: HSA-APR.A.1
Multiply. (x-5)(2x+4)
  1. -6x
  2. 2x2-20
  3. 2x2-26
  4. 2x2-6x-20
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply. (x2+x+1)(x2+x+2)
  1. x4+2x3+4x2+3x+2
  2. x4-6x3+4x2+2x+1
  3. x4+5x3+4x2-x+4
  4. 2x4-2x3+x2+4x+2
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply: (x-2)(2x2-3x-1)
  1. -2x3+3x2+x
  2. -2x2+3x+1
  3. 2x3-7x2-7x-2
  4. 2x3+x2-7x-2
  5. 2x3-7x2+5x+2
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Add the polynomials.

(3x2+3x+1)+(x2+x+5)
  1. 4x2+4x+6
  2. 3x2-2x+4
  3. 4x2-4x-6
  4. 2x2+2x-4
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply.
3x(4x+7)
  1. 12x+21
  2. 3x2+7x
  3. 12x2+21x
  4. 7x+7
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
(2y5+3y5+y+1)+(8y5-3y4+4y-7)
Grade 10 Quadratic Equations and Expressions CCSS: HSA-APR.A.1
Multiply: (6n-4)(4n+3)
  1. 12n2+18n-12
  2. 24n2-2n+12
  3. 24n2+2n-12
  4. 10n2-16n+12
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply: (x+2)(2x2-3x+1)
  1. -2x3+3x2+x
  2. -2x2+3x+1
  3. 2x3-7x2-7x-2
  4. 2x3+x2-5x+2
  5. 2x3-7x2+5x+2
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Find the product. 5x2(4x3-2x2+3)
  1. 20x5-6x4
  2. 20x5+12x+10x2
  3. 20x5-10x4+15x2
  4. 9x5-7x4+6x2
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply:

6x8(11x9+6x8-3)
  1. 66x17+36x16-3
  2. 66x17+36x16-18x8
  3. 66x17+6x8-3
  4. 66x9+36x8-18
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply the monomial with the trinomial.
3x2⋅(5y2-3y+6)
  1. 3x2+5y2-3y+6
  2. 15x2y2-9x2y+18x2
  3. 8x2y2+9x2
  4. 15x2y2-3y+6
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
(2b5+3b4-4b3+7b2)+(-2b-12)
Grade 10 Quadratic Equations and Expressions CCSS: HSA-APR.A.1
Multiply: (4b+3)(b-12)
  1. 4b2-51b-36
  2. 4b2+51b+36
  3. 4b2-45b-36
  4. 5b2-45b-36
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply.

(2-x)(2x2-3x-1)
  1. 2x2-2x-2
  2. 2x3+4x2-2x-1
  3. -2x3+7x2-5x-2
  4. 2x3-7x2+5x+2
  5. 7x2-1
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Find the product. (3x+1)(5x3+2x2-8x)
  1. 15x4+11x3-22x2-8x
  2. 15x3+11x2-22x-8
  3. 8x4-11x3+22x2+8x
  4. 15x4+x3+26x2-8x
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Add.
(5z4+8z2-4z-10)+(3z3-2z2+4z-2)
  1. 2z4+10z2-8z-12
  2. 8z4+6z2-12
  3. 5z4+3z3+10z2+8z+12
  4. 5z4+3z3+6z2-12
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply.
(3ab)(-2a2+5ab-b2)
  1. -2a2+8a2b2-b2
  2. a3b+8a2b2+2ab3
  3. 3a2b+5ab-3ab2
  4. -6a3b+15a2b2-3ab3
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