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Common Core Standard HSA-APR.D.6 Questions

Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.

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Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Divide:
(x2-3x-28)÷(x+4)
  1. x-7
  2. x+4
  3. x+7
  4. x-4
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Simplify. x-yx2-2xy+y2
  1. x+y
  2. xy
  3. 1x-y
  4. x-y
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
What is x2-4xy+4y23xy-6y2 reduced to lowest terms?
  1. x-2y3
  2. x-2y3y
  3. x+2y3
  4. x+2y3y
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Simplify 6x2+21x+94x2-1 to lowest terms.
  1. 3(x+1)2x-1
  2. 3(x+3)2x-1
  3. 3(2x+3)4(x-1)
  4. 3(x+3)2x+1
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
What is 12a3-20a216a2+8a reduced to lowest terms?
  1. a2
  2. 3a-52a+1
  3. -2a4+2a
  4. a(3a-5)2(2a+1)
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Simplify: 5x310x7
  1. 2x4
  2. 12x4
  3. 15x4
  4. x45
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Simplify the expression x-7x2-x-42.
  1. 1x+7, x-6
  2. 1x+6, x7
  3. x+7, x-6,7
  4. x+6, x-6,7
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Use synthetic division to divide the polynomials: x2+7x+7x+3.
  1. x+4x+3
  2. x+5
  3. x+4+5x+3
  4. x+4+-5x+3
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