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Polynomials and Rational Expressions Questions - All Grades

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Grade 9 Polynomials and Rational Expressions
The following expression is a
$x^3 + 2x^2- 5x - 10$
1. monomial
2. binomial
3. trinomial
4. polynomial
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$(-4m-n)-(2m+3n)$
1. $-2m-4n$
2. $-6m-4n$
3. $-6m+2n$
4. $-8m-2n$
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
$(2x-2)(3x+5)$
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
$(10p^4+p^3-4p^2-8)-(-12p^4+5p^3-2p+3)$
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
$(7n^5-3n+4n^2)+(2n^2+5n^5+8n)$
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 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
What is the product $(x + 5)(x^3 - 2x -3)?$
1. $x^4 + 5x^3 - 2x^2 - 7x -15$
2. $x^4 + 5x^3 - 2x^2 - 13x - 15$
3. $x^4 + 5x^3 - 2x^2 - 10x - 15$
4. $x^4 + 5x^3 - 2x^2 - 3x - 15$
Grade 9 Polynomials and Rational Expressions
A trinomial is
1. an expression with 1 term.
2. an expression with 2 terms.
3. an expression with 3 terms.
4. an expression with more than 3 terms.
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$(9k+ 4n) - (11k + 6n)$
1. $2k + 10n$
2. $-2k -2n$
3. $2k - 2n$
4. $20k -10k$
Grade 10 Polynomials and Rational Expressions
Which of the following represents the simplified polynomial expression, given $3x^2y(3x^2y^2+7xy^3-4y^4)$ ?
1. $9x^4y^6+21x^2y^3-12x^2y^4$
2. $6x^2y^2+10x^2y^3-7x^2y^4$
3. $9x^4y^3+21x^3y^4-12x^2y^5$
4. $6x^4y^3+10x^3y^4-7x^2y^5$
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-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 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Subtract: $(4x^2 - 2x + 8) - ( x^2 + 3x - 2)$
1. $3x^2 + x + 6$
2. $3x^2 + x + 10$
3. $3x^2 - 5x + 6$
4. $3x^2 - 5x + 10$
Grade 9 Polynomials and Rational Expressions
A polynomial that has three terms.
1. monomial
2. binomial
3. exponents
4. trinomial
Grade 9 Polynomials and Rational Expressions
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Simplify the rational expression.

$(3x(x-3))/((x-3)(x+3))$
1. $(x-3)/x, \ \ x!=-3,3$
2. $(3x)/(x+3), \ \ x!= 3$
3. $(x+3)/(x-3), \ \ x!=-3$
4. $1/(x-3), \ \ x!= -3$
Grade 11 Polynomials and Rational Expressions
Given: $(5x + 6)(8x - 4)$

The product of the given is:
1. $13x + 2$
2. $40x - 24$
3. $40x^2 + 24$
4. $40x^2 - 20x + 48x - 24$
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