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Ninth Grade (Grade 9) Polynomials and Rational Expressions Questions

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Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1

$3x^2+x-5$ is classified as which of the following?
(select all that apply)

Monomial
Binomial
Trinomial
Polynomial
None of the above

Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1

Subtract.

$(3a^3 -5a^2 +11) - (6a^3 - a - 2)$

$3a^3 - 5a^2 - a +9$
$-3a^3 - 4a^2 + 13$
$9a^3 - 5a^2 - a + 9$
$-3a^3 - 5a^2 + a + 13$

Grade 9 Polynomials and Rational Expressions

Find the greatest common factor of

$6xyz + 12x^2y - 3yz^2$ .

$3xy$
$6yz$
$3y$
$2x^2y$

Grade 9 Polynomials and Rational Expressions

$3x+9$ is an example of a

linear monomial.
quadratic binomial.
constant binomial.
linear binomial.
polynomial polynomial.

Grade 9 Polynomials and Rational Expressions

Factor using the greatest common factor.

$16x^8-32x^7+12x^2$

$12x^2(4x^6-8x^5+1)$
$4x^2(4x^6-8x^5+3)$
$4x(4x^8-8x^7+3x^2)$
$x^2(16x^6-32x^5+12)$

Grade 9 Polynomials and Rational Expressions

The sum or difference of one or more unlike terms.

absolute value
like terms
polynomial
exponent

Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1

$5$ is classified as which of the following?
(select all that apply)

Monomial
Binomial
Trinomial
Polynomial
None of the above

Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1

$(12c + 8d) - (7c - 5d)$

$19c - 3d$
$19c + 13d$
$5c - 3d$
$5c + 13d$

Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1

Multiply:

$(4x-1)(3x+2)$

$12x^2+3x-2$
$12x^2-5x+1$
$12x^2+11x+2$
$12x^2+5x-2$

Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.D.7

Multiply the rational expressions and simplify as much as possible.

$(3x^2)/(4x^3)*(-2x)/6$

$-1/4$
$-x/4$
$(6x)/24$
$x^3/x^2$

Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1

Subtract and write the resulting polynomial in descending order of degree.

$(10y+13)-(-6y+9)$

$16y+22$
$20y$
$-16y-4$
$16y+4$

Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1

$3a(2a^2-4a+6)$

$3a^3-a^2+18a$
$6a^2-12a+18$
$5a^3-a^2+9a$
$6a^3-12a^2+18a$

Grade 9 Polynomials and Rational Expressions

Simplify:

$x^2+3x+1+3x^2+x+1$

$4x^2+4x+2$

Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1

$a^3-a^2+3b-5$ is described as which of the following?
(select all that apply)

Monomial
Binomial
Trinomial
Polynomial
None of the above

Grade 9 Polynomials and Rational Expressions

Find the greatest common factor.

$9a^4b^7+12a^2b^5$

$3ab$
$3a^2b^5$
$6a^2b^5$
$3a^5b^2$

Grade 9 Polynomials and Rational Expressions

Write the polynomial in standard form:

$10x-7+x^4+4x^3$ .

$-7+10x+4x^3+x^4$
$4x^3-7+10x+x^4$
$x^4+4x^3+10x-7$
$10x+x^4+4x^3-7$

Grade 9 Polynomials and Rational Expressions

Combine the polynomials.

$(5x^3-2x^2+7x)+( -3x^3 + x^2 -5x)$

$2x^3+2x^2+2x$
$2x^3-x^2+2x$
$2x^3+3x^2+2x$
$2x^3+x^2+9x$

Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1

$x+5$ is described as which of the following?
(select all that apply)

Monomial
Binomial
Trinomial
Polynomial
None of the above

Grade 9 Polynomials and Rational Expressions

What is the greatest common factor of the expression?

$24x^5+36x^3-18x^2$

$2x^5$
$18x^2$
$3x$
$6x^2$

Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1

Add. Leave answer in simplest form.

$(3m^2 - 5n^2 + 2m + 6n -3) + (4 -4n^2 + 5m - 12n + 2m^2)$

$7m^2 - 2m - 6n - 1$
$5m^2 - 9n^2 + 7m - 6n + 1$
$5m^2 + 9n^2 + 7m + 18n +7$
$3m^2 - 5n^2 + 7m - 6n -1$

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Ninth Grade (Grade 9) Polynomials and Rational Expressions Questions