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Common Core Standard HSA-SSE.A.2 Questions

Use the structure of an expression to identify ways to rewrite it. For example, see x4 – y4 as (x2)2 – (y2)2, thus recognizing it as a difference of squares that can be factored as (x2 – y2)(x2 + y2).

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Grade 9 Polynomials and Rational Expressions CCSS: HSA-SSE.A.2
Grade 11 Polynomials and Rational Expressions CCSS: HSA-SSE.A.2
Grade 10 Polynomials and Rational Expressions CCSS: HSA-SSE.A.2
Which one of the following is equivalent to x4-x2-30?
  1. (x-6)(x+5)(x-6)(x-5)
  2. (x2-4)(x2+6)
  3. (x2-6)(x2+5)
  4. (x-6)2(x2-5)
Grade 11 Polynomials and Rational Expressions CCSS: HSA-SSE.A.2
Factor: 64p6a9-x3y12
  1. (4p2a3-xy4)(16p4a6+4p2a3xy4+x2y8)
  2. (16p4a6+4p2a3xy4+x2y8)
  3. (4p2a3+xy4)(16p4a6-4p2a3xy4+x2y8)
  4. (16p4a6-4p2a3xy4+x2y8)
Grade 10 Polynomials and Rational Expressions CCSS: HSA-SSE.A.2
Factor the expression.
x4-y4
  1. (x-y)4
  2. (x2+y2)(x+y)(x-y)
  3. (x2+y2)(x2-y2)
  4. Can't be factored
Grade 9 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to b(5a2+2)+b(2a2+5)?
  1. 7a2b+7b
  2. 7a2b+2b+5
  3. 10a2b+10b
  4. (10a2+10)b
Grade 10 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to (3x+y)2 ?
  1. 9x2+6xy+y2
  2. 9x2+3xy+y2
  3. 9x2+y2
  4. 9x2-y2
Grade 11 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to (3x+5)(2x-2) ?
  1. 6x2+10x-10
  2. 3x(2x-2)+5(2x-2)
  3. 2x(3x+5)+2(3x+5)
  4. 3x2-4x-10
Grade 10 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to 5(x+1)(3x-8) ?
  1. (x+1)(3x-8)
  2. (5x+1)(15x-8)
  3. 3x2-5x-8
  4. 15x2-25x-40
Grade 10 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to 9x2+12x+4 ?
  1. (3x+2)2
  2. (3x+6)(3x+2)
  3. (3x-2)2
  4. 4(2x2+6x+1)
Grade 9 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to 3(2x+5y2)?
  1. 6x+5y2
  2. 2x+15y2
  3. 6x+15y2
  4. 5x+8y2
Grade 11 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to 4x2-4y2 ?
  1. (2x-2y)(2x+2y)
  2. (4x-4y)(4x+4y)
  3. (2x-2y)(2x-2y)
  4. (x-y)(x-y)
Grade 11 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to 5(x-2y)-3x(-2y+x) ?
  1. (5-3x)(x-2y)
  2. -15x(x-2y)
  3. -15x(x-2y)(-2y+x)
  4. -15x(x-2y)2
Grade 11 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to 4x2-12x+9 ?
  1. (2x+3)(2x-3)
  2. No Answer
  3. (2x+3)2
  4. 2x(2x-3)-3(2x-3)
Grade 11 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to (6x2+2y)22(3x2+y) ?
  1. 36x4+4y4+6x2+2y
  2. 12x2+4y
  3. (6x2+2y)3
  4. 42x2+6y2

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