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Common Core Standard HSA-APR.D.7 Questions

(+) Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.

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Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify [math](x^2+7x+10)/(x^2-x-6)*(x^2-2x-3)/(2x^2+9x-5)[/math]
  1. [math](x+1)/(2x-1), \ x!= -5, -2, 3[/math]
  2. [math](2x^2-5x+7)/(3x^2+8x-11), \ x!= -2,3[/math]
  3. [math]2x^2+x-1[/math]
  4. [math]x+2[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify [math](x+2)/(x-1)+(x-3)/(x+1)[/math]
  1. [math](x^2-3x+1)/(x^2-x+4)[/math]
  2. [math](2x-1)/(2x)[/math]
  3. [math](x^2-x-6)/(x-1)[/math]
  4. [math](2x^2-x+5)/((x-1)(x+1))[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify [math](x^2-4x+3)/(x^2+4x-5)+(x^2+4x+3)/(x^2+6x+5)[/math]
  1. [math] (2x)/(x+5), \ x!= -1, 1[/math]
  2. [math](2x^2+6)/(2x^2+10x), \ x!= 0, -5[/math]
  3. [math](10(4x^2+3x))/(24x^2-10x-25)[/math]
  4. [math](6)/(x^2+6x+5) , \ x!= 1[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify [math](x+2)/(x-1)+(x-3)/(x-1)[/math]
  1. [math](x^2-x-6)/(x^2-2x+1)[/math]
  2. [math](2x-1)/(x-1)[/math]
  3. [math]x^2-x-6[/math]
  4. [math]-1/2x[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify [math](x-1)/(x+3)*(x+2)/(x-1)[/math]
  1. [math]x^2+5x+6[/math]
  2. [math](-2)/(x-3), x!=3[/math]
  3. [math](x^2+x-2)/(x^2+2x-3)[/math]
  4. [math](x+2)/(x+3), \ x!=1[/math]

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