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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. 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
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Divide: x2+8x+16x+3÷2x+8x2-9
  1. 2(x+4)2(x-3)(x+3)2
  2. 2(x+3)(x-3)x+4
  3. (x+4)(x-3)2
  4. (x+4)(x-3)22(x+3)
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Add and simplify the expression 42x+10+x3x+15 .
  1. x+63(x+5)
  2. 2x+126(x+5)
  3. 2x2+22x+606(x+5)
  4. x2+11x+303(x+5)
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Multiply. Simplify if possible. x+7x-2⋅x2+5x-14x-1
  1. x-1,  x≠1,2
  2. (x+7)2x-1,  x≠2
  3. x-1(x-2)2,  x≠1
  4. 1x-1,  x≠2
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Find the same denominator and add.

2x+1+3x-1
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Subtract and simplify the expression xx+2-3x-2 .
  1. (x-6)(x+1)x2-4
  2. x-3x+2
  3. x-3x2-4
  4. x+3x+2
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Subtract. Simplify if possible. 9x2x-1-9xx-1
  1. 9x(x+1)x+1,  x≠1
  2. 9xx-1
  3. 0,  x≠1
  4. 9x,  x≠1
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Divide. Simplify if possible. x2-25x2+4x+4÷x2-10x+25x2+7x+10
  1. (x-5)3(x+2)3,  x≠-5,5
  2. (x+5)2(x+2)(x-5),  x≠-5
  3. x-5x+2,  x≠-5,5
  4. x+2x-5,  x≠-5,-2
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Subtract and simplify the expression 46x-2x .
  1. -83x
  2. 26x
  3. 46x
  4. -43x
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Add. Simplify the result if possible. 515x+615x
  1. 1115x
  2. 1,  x≠0
  3. 15x11,  x≠0
  4. 1130x
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