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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 the rational expressions. 3a+28b+2b+14a
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Subtract. Simplify if possible. x2+6xx2-7x-3x+6x2-5x-14
  1. 4(x-7)(x+2),  x≠0
  2. 2(2x+3)x(x-7),  x≠-2
  3. x+9x-7,  x≠-2,0
  4. x+3x-7,  x≠-2,0
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Subtract. Simplify, if possible. 4x-3-4x-1
  1. 0,  x≠1,3
  2. 8(x-3)(x-1)
  3. 8(x-2)(x-3)(x-1)
  4. 2x-3,  x≠1
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Add the rational expressions. 7zz-9+7c+3
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Subtract. Simplify if possible. 2x-5x-5-x2+2xx2-3x-10
  1. 3x-5x-5,  x≠-2
  2. x-10x-5,  x≠-2
  3. 1,  x≠-2,5
  4. -5x+2,  x≠5
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Add the rational expressions. 12v3v-12+612
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Divide. Simplify if possible. x2-12x+362x-12÷5x-3010
  1. x-6,  x≠6
  2. 1x-6
  3. (x-6)24,  x≠6
  4. 1,  x≠6
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Subtract the rational expressions. 6a+4-72a2
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Multiply. Simplify if possible. x2+10x+24x2+13x+36⋅x2+9xx2+4x-12
  1. -12,  x≠-9,-6,-4,2
  2. x(x+6)(x+9)(x-2),  x≠-6,-4
  3. xx-2,  x≠-9,-6,-4
  4. 1x(x-2)(x+9)2,  x≠-6,-4
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Multiply. Simplify if possible. 2x-2x⋅8x23x-3
  1. 316x,  x≠1
  2. 3(x+1)24x2,  x≠1
  3. 16x3,  x≠0,1
  4. 16x-13x2,  x≠1
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
1c2-4⋅c-2c+2
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Multiply. Simplify if possible. 2x25⋅25x3
  1. 2x2+255x3
  2. 2x5125,  x≠0
  3. 10x
  4. x10,  x≠0
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-3⋅x2+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),  x≠1
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