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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 Polynomials and Rational Expressions CCSS: HSA-SSE.A.2
Factor: $64p^6 a^9-x^3 y^12$
1. $(4p^2a^3-xy^4)(16p^4a^6+4p^2a^3xy^4+x^2y^8)$
2. $(16p^4a^6+4p^2a^3xy^4+x^2y^8)$
3. $(4p^2a^3+xy^4)(16p^4a^6-4p^2a^3xy^4+x^2y^8)$
4. $(16p^4a^6-4p^2a^3xy^4+x^2y^8)$
Grade 10 Polynomials and Rational Expressions CCSS: HSA-SSE.A.2
Factor the expression.
$x^4 - y^4$
1. $(x - y)^4$
2. $(x^2 + y^2)(x + y)(x - y)$
3. $(x^2 + y^2)(x^2 - y^2)$
4. Can't be factored
Grade 9 Polynomials and Rational Expressions CCSS: HSA-SSE.A.2
Grade 11 Polynomials and Rational Expressions CCSS: HSA-SSE.A.2
The area of a square is $16a^4 - 24a^2b + 9b^2$. What is the length of a side of the square?
1. $16a^2 + ab$
2. $4a - 3b$
3. $4a^2 - 3b$
4. $4a^4 + 3b^2$
Grade 10 Polynomials and Rational Expressions CCSS: HSA-SSE.A.2
Which one of the following is equivalent to $x^4-x^2-30$?
1. $(x-6)(x+5)(x-6)(x-5)$
2. $(x^2-4)(x^2+6)$
3. $(x^2-6)(x^2+5)$
4. $(x-6)^2(x^2-5)$
Grade 9 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to $b(5a^2+2)+b(2a^2+5)$?
1. $7a^2b+7b$
2. $7a^2b+2b+5$
3. $10a^2b+10b$
4. $(10a^2+10)b$
Grade 10 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to $(3x+y)^2$ ?
1. $9x^2+6xy+y^2$
2. $9x^2+3xy+y^2$
3. $9x^2+y^2$
4. $9x^2-y^2$
Grade 11 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to $(3x+5)(2x-2)$ ?
1. $6x^2+10x-10$
2. $3x(2x-2)+5(2x-2)$
3. $2x(3x+5)+2(3x+5)$
4. $3x^2-4x-10$
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. $3x^2-5x-8$
4. $15x^2-25x-40$
Grade 10 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to $9x^2+12x+4$ ?
1. $(3x+2)^2$
2. $(3x+6)(3x+2)$
3. $(3x-2)^2$
4. $4(2x^2+6x+1)$
Grade 9 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to $3(2x+5y^2)$?
1. $6x+5y^2$
2. $2x+15y^2$
3. $6x+15y^2$
4. $5x+8y^2$
Grade 11 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to $4x^2-4y^2$ ?
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 $4x^2-12x+9$ ?
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 $(6x^2+2y)^2*2(3x^2+y)$ ?
1. $36x^4+4y^4+6x^2+2y$
2. $12x^2+4y$
3. $(6x^2+2y)^3$
4. $42x^2+6y^2$
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