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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
Multiply. Simplify if possible. 2x2525x3
  1. 2x2+255x3
  2. 2x5125,  x0
  3. 10x
  4. x10,  x0
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Which fraction equals the product?

(x+53x+2)(2x-3x-5)
  1. 2x-33x+2
  2. 3x+24x-3
  3. x2-256x2-5x-6
  4. 2x2+7x-153x2-13x-10
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Add and simplify.

1x+1x-2
  1. 22x-2
  2. 2(x-1)x(x-2)
  3. 2x(x-2)
  4. 2(x+1)x(x-2)
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Multiply. Simplify if possible. 3x+6x2+2x-3x2+3xx2+x-2
  1. 3x(x-1)2,  x-3,-2
  2. 3x,  x-3,-2,1
  3. 3x-1,  x-3,-2
  4. 3(x+3)(x+2),  x1
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
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),  x0
  3. x2-8x2-64,  x0
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Multiply and simplify. (x+5)(2x-1)2x(x+1)2x(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-6x2-2x-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, x0,-5
  3. 10(4x2+3x)24x2-10x-25
  4. 6x2+6x+5, x1
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+3x+2x-1
  1. x2+5x+6
  2. -2x-3,x3
  3. x2+x-2x2+2x-3
  4. x+2x+3, x1
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