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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 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Add. Simplify if possible. x+7x-2+6
  1. -5x-19x-2
  2. x+13x-2
  3. -132,  x≠2
  4. 7x-5x-2
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Divide and simplify. 3xx+9÷x3x+27   (x≠-9,0)
  1. x2(x+9)2
  2. 9x
  3. x9
  4. 9
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Add. Simplify if possible. 9x2+x-2+3x+2
  1. -3(x-4)(x+2)(x-1)
  2. 3x-1,  x≠-2
  3. 3(x+5)x+2(x-1)
  4. 3x+2,  x≠1
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Add. Simplify if possible. 3x+4x2+5x+6+2x+2
  1. 5x+3,  x≠-2
  2. x-2(x+3)(x+2)
  3. 5x+8(x+3)(x+2)
  4. 3x+3,  x≠-2
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Multiply the rational expressions and simplify as much as possible.
3x24x3⋅-2x6
  1. -14
  2. -x4
  3. 6x24
  4. x3x2
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
x2-64x(x+8)⋅xx-8 =
  1. 1,  x≠-8,0,8
  2. x3-64x(x+8)(x-8),  x≠0
  3. x2-8x2-64,  x≠0
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Multiply and simplify. (x+5)(2x-1)2x(x+1)2⋅x(x+1)2x-1
  1. 12
  2. x+5
  3. 12(x+1)
  4. x+52(x+1)
  5. x+52x
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify.  x2+7x+10x2-x-6⋅x2-2x-32x2+9x-5
  1. x+12x-1, x≠-5,-2,3
  2. 2x2-5x+73x2+8x-11, x≠-2,3
  3. 2x2+x-1
  4. x+2
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Add and simplify. x+2x-1+x-3x+1
  1. x2-3x+1x2-x+4
  2. 2x-12x
  3. x2-x-6x-1
  4. 2x2-x+5(x-1)(x+1)
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Add and simplify.  x2-4x+3x2+4x-5+x2+4x+3x2+6x+5
  1. 2xx+5, x≠-1,1
  2. 2x2+62x2+10x, x≠0,-5
  3. 10(4x2+3x)24x2-10x-25
  4. 6x2+6x+5, x≠1
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Add and simplify.  x+2x-1+x-3x-1
  1. x2-x-6x2-2x+1
  2. 2x-1x-1
  3. x2-x-6
  4. -12x
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify.  x-1x+3⋅x+2x-1
  1. x2+5x+6
  2. -2x-3,x≠3
  3. x2+x-2x2+2x-3
  4. x+2x+3, x≠1
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