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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 11 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to [math](5a^2+2)^n+(2a^2+5)^n[/math]
  1. [math]7a^(2n)+7^n[/math]
  2. [math]7a^(2n)+2^n+5[/math]
  3. [math]10a^(2n)+10^n[/math]
  4. [math](10a^2+10)^n[/math]
Grade 11 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to [math](3x+y)^2[/math]
  1. [math]9x^2+6xy+y^2[/math]
  2. [math]9x^2+3xy+y^2[/math]
  3. [math]9x^2+y^2[/math]
  4. [math]9x^2-y^2[/math]
Grade 11 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to [math](3x+5)(2x-2)[/math]
  1. [math]6x^2+10x-10[/math]
  2. [math]3x(2x-2)+5(2x-2)[/math]
  3. [math]2x(3x+5)+2(3x+5)[/math]
  4. [math]3x^2-4x-10[/math]
Grade 11 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to [math]5(x+1)(3x-8)[/math]
  1. [math](x+1)(3x-8)[/math]
  2. [math](5x+1)(15x-8)[/math]
  3. [math]3x^2-5x-8[/math]
  4. [math]15x^2-25x-40[/math]
Grade 11 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to [math]9x^2+12x+4[/math]
  1. [math](3x+2)^2[/math]
  2. [math](3x+6)(3x+2)[/math]
  3. [math](3x-2)^2[/math]
  4. [math]4(2x^2+6x+1)[/math]
Grade 11 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to [math]3(2x+5y^2)[/math]
  1. [math]6x+5y^2[/math]
  2. [math]2x+15y^2[/math]
  3. [math]6x+15y^2[/math]
  4. [math]5x+8y^2[/math]
Grade 11 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to [math]4x^2-4y^2[/math]
  1. [math](2x-2y)(2x+2y)[/math]
  2. [math](4x-4y)(4x+4y)[/math]
  3. [math](2x-2y)(2x-2y)[/math]
  4. [math](x-y)(x-y)[/math]
Grade 11 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to [math]5(x-2y)-3x(-2y+x)[/math]
  1. [math](5-3x)(x-2y)[/math]
  2. [math]-15x(x-2y)[/math]
  3. [math]-15x(x-2y)(-2y+x)[/math]
  4. [math]-15x(x-2y)^2[/math]
Grade 11 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to [math]4x^2-12x-9[/math]
  1. [math](2x+3)(2x-3)[/math]
  2. [math]No Answer[/math]
  3. [math](2x+3)^2[/math]
  4. [math]2x(2x-3)-3(2x-3)[/math]
Grade 11 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to [math](6x^2+2y)^2*2(3x^2+y)[/math]
  1. [math]36x^4+4y^4+6x^2+2y[/math]
  2. [math]12x^2+4y[/math]
  3. [math](6x^2+2y)^3[/math]
  4. [math]42x^2+6y^2[/math]

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