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Polynomials and Rational Expressions questions are available in the following grade levels:

# Polynomials and Rational Expressions Questions - All Grades

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Grade 11 Polynomials and Rational Expressions
$n^2 + 3n - 28$
1. $(n + 7)(n + 4)$
2. $(n - 4)(n - 7)$
3. $(n + 4)(n - 7)$
4. $(n - 4)(n + 7)$
Grade 11 Polynomials and Rational Expressions
$100k^2 - 121$
1. $(10k +11)(10k -11)$
2. $(10k + 11)(10k + 11)$
3. $(10k - 11)(10 - 11)$
4. $(20k + 121)(5k - 1)$
Grade 11 Polynomials and Rational Expressions
Answer the following 2 questions based upon the given:

Given: (5x + 6)(8x - 4).

The given is an example of:
1. monomial , binomial addition and subtraction
2. binomial , binomial multiplication
3. binomial, binomial addition and subtraction
4. monomial , trinomial multiplication
Grade 7 Polynomials and Rational Expressions
$(13x^2y - 7x^2) + (5x^2y - 3x^2)$
1. $18x^2y - 10x^2$
2. $18x^2y + 4x^2$
3. $8x^2y + 4x^2$
4. $18x^4y^2 -10x^4$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$(3x^2y^3+xy^2)(x^4y-2x^2y^2)$
1. $3x^4y^2-6x^4y^6+x^5y^2-2x^3y^4$
2. $3x^6y^4-6x^4y^5+x^5y^3-2x^3y^4$
3. $3x^6y^4-6x^4y^5+x^4y^4-2x^2y^2$
4. $3x^4y^6-6x^5y^4+x^3y^5-2x^4y^3$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$(2x+3)(5x-8)$
1. $10x^2+x-24$
2. $10x^2-31x-24$
3. $10x^2-x-24$
4. $7x^2+10x-5$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$3x(x+5)$
1. $3x+15x$
2. $3x^2+15x$
3. $18x$
4. $3x^3+15x^2$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$(10p^4+p^3-4p^2-8)-(-12p^4+5p^3-2p+3)$
1. $22p^4-4p^3-4p^2+2p-5$
2. $-2p^4-4p^3-4p^2+2p-5$
3. $-2p^4+6p^3-6p^2+2p-11$
4. $22p^4-4p^3-4p^2+2p-11$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$(2x-2)(3x+5)$
1. $6x^2+4x-10$
2. $6x^2+16x-10$
3. $-x+3$
4. $6x^2-4x+10$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$(7n^5-3n+4n^2)+(2n^2+5n^5+8n)$
1. $12n^5+6n^2+5n$
2. $9n^5+2n^2+12n$
3. $5n^5-2n^2+4n$
4. $12n^5-6n^2-4n$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$(13x-3)(5-6x)$
1. $-18x^2+65x-78$
2. $-65x^2+18x-15$
3. $-38x^2+78x-15$
4. $-78x^2+83x-15$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$(x-5)(2x+3)(x+5)$
1. $2x^3+3x^2-50x-75$
2. $2x^3+2x^2-15x-25$
3. $2x^3+2x^2-50x-25$
4. $2x^3-50x^2+3x-75$
Grade 11 Polynomials and Rational Expressions
$25x^2 + 110x + 121$
1. $(11x - 5)^2$
2. $(5x - 11)^2$
3. $(5x + 11)^2$
4. $(4x - 11)^2$
Grade 9 Polynomials and Rational Expressions
Which fraction equals the product?

$((x + 5)/(3x + 2))((2x - 3)/(x - 5))$
1. $(2x - 3)/(3x + 2)$
2. $(3x + 2)/(4x - 3)$
3. $(x^2 - 25)/(6x^2 - 5x - 6)$
4. $(2x^2 + 7x - 15)/(3x^2 - 13x - 10)$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
What expression does the set of tiles represent?

1. $2x$
2. $-8x$
3. $x^4 - 2$
4. $4x - 2$
Grade 10 Polynomials and Rational Expressions
Factor the expressions.
$x^4 - y^4$
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 11 Polynomials and Rational Expressions
Simplify the expression $4x^2 + 8x^3 - 9x^2 - 2x + 8$.
1. $8x^3-5x^2-2x+8$
2. $3x^5-2x+8$
3. $-5x^6+8x^2-2x+8$
4. None of the above
Grade 11 Polynomials and Rational Expressions
Which of the following is an example of a trinomial?
1. $(x^2 + 4x)$
2. $(x^2 + 4x +12 - x^3)$
3. $4xyz^3$
4. $-4xy^3 -2xy^2 +5y$
Grade 11 Polynomials and Rational Expressions
Which of the following is NOT an example of a monomial?
1. $3x^2y^2z^2$
2. $3x^2 + y^2 + z^2$
3. 3
4. $x^2y^2z^2$
Grade 9 Polynomials and Rational Expressions
Simplify
$(xy^-6z^-3)/(x^-4y^-5z)$
1. $(xz)/(x^4y^11z^3)$
2. $(x^4y^4)/(y^6z^3)$
3. $x^5/(yz^4)$
4. $(x^3y^5)/(y^3z^2)$
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