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# Polynomials and Rational Expressions Questions - All Grades

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Grade 7 Polynomials and Rational Expressions
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$3x^2+x-5$ is a
(select all that apply)
1. Monomial
2. Binomial
3. Trinomial
4. Polynomial
5. None of the above
Grade 10 Polynomials and Rational Expressions
Factor: $25x^2y^4 + 40x^3 y^2$
1. $5x^2y^2(5y^2 + 8x)$
2. $5x^3y^4(5xy + 8y)$
3. $8x^2y^2(3x^2y - 3y^2)$
4. $4x^2y^2(6y^2 + 10x^3)$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$3a(2a^2-4a+6)$
1. $3a^3-a^2+18a$
2. $6a^2-12a+18$
3. $5a^3-a^2+9a$
4. $6a^3-12a^2+18a$
Grade 10 Polynomials and Rational Expressions
$7x-2[3x(x-y)+6x]$
1. $11x-6y$
2. $-11x+6y$
3. $7x+6y$
4. $-6x^2-5x+6xy$
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Simplify: $2x^3y^{-3}\cdot 2x^{-1}y^3$
1. 1
2. $4x^5y^6$
3. $2x^2$
4. $4x^2$
5. None of the above.
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$5x^3-y^2+3x+12y-5$ is a...
(select all that apply)
1. Monomial
2. Binomial
3. Trinomial
4. Polynomial
5. None of the above
Grade 10 Polynomials and Rational Expressions
$c/a+3/4 =$
1. $(4c+3a)/(4a)$
2. $(3c+4a)/(4a)$
3. $((c+a)4)/(4a)$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply the rational expressions and simplify as much as possible.
$(3x^2)/(4x^3)*(-2x)/6$
1. $-1/4$
2. $-x/4$
3. $(6x)/24$
4. $x^3/x^2$
Grade 9 Polynomials and Rational Expressions
Grade 10 Polynomials and Rational Expressions
Multiply. $(x^2+x+1)(x^2+x+2)$
1. $x^4+2x^3+4x^2+3x+2$
2. $x^4-6x^3+4x^2+2x+1$
3. $x^4+5x^3+4x^2-x+4$
4. $2x^4-2x^3+x^2+4x+2$
Grade 11 Polynomials and Rational Expressions
$8-b$
1. cubic
2. linear
4. none of the above
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$1/(x^2-5x)+x/(x-5)=$
1. $(x^2+1)/(x(x-5))$
2. $(x+1)/(x-5)$
3. $(x-1)/(x-5)$
Grade 8 Polynomials and Rational Expressions
Multiply:
(4x-1)(3x+2)
1. $12x^2+3x-2$
2. $12x^2-5x+1$
3. $12x^2+11x+2$
4. $12x^2+5x-2$
Grade 10 Polynomials and Rational Expressions
Find the GCF: $35z^5 + 60z^2 - 15z$
1. $15z^2$
2. $5z$
3. $6z^2$
4. $7z$
Grade 12 Polynomials and Rational Expressions CCSS: HSF-IF.C.7c
On $f(x)=2x^5+x^3-3x$
1. $(-0.65,1.4)$ is a relative and absolute maximum.
2. $(0.65,-1.4)$ is a relative and absolute minimum.
3. $(-0.65,1.4)$ is a relative maximum.
4. $(0.65,-1.4)$ is a relative minimum.
5. Both A and B.
6. Both C and D.
7. None of the above.
Grade 11 Polynomials and Rational Expressions
$81 - 9k^2$
1. $(3k - 9)(3k - 9)$
2. $(9 + 3k)(9 - 3k)$
3. $(3k + 9)(3k - 9)$
4. $(9 + 3k) (9 + 3k)$
Grade 8 Polynomials and Rational Expressions
What is the greatest common factor of the expression below?
$24x^5+36x^3-18x^2$
1. $2x^5$
2. $18x^2$
3. $3x$
4. $6x^2$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.4
$(a+b)^2$
Step 1: $(a+b)(a+b)$
Step 2: $a^2+ab+ab+b^2$
Step 3: $a^2+ab^2+b^2$
1. The proof is correct
2. Step 1 has an error
3. Step 2 has an error
4. Step 3 has an error
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$(x^2-64)/(x(x+8))*x/(x-8)$ =
1. 1
2. $(x^3-64x)/((x+8)(x-8)$
3. $(x^2-8)/(x^2-64)$
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