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Polynomials and Rational Expressions Questions - All Grades

You can create printable tests and worksheets from these Polynomials and Rational Expressions questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

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Grade 10 Polynomials and Rational Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a

Factor:

$9y^2 - 25$

$(3y + 5) (3y - 5)$
$(9y + 5) (9y - 5)$
$(9y - 25) (y + 1)$
$(3y + 30) (3y - 5)$

Grade 9 Polynomials and Rational Expressions

The sum or difference of one or more unlike terms.

absolute value
like terms
polynomial
exponent

Grade 10 Polynomials and Rational Expressions

What type of polynomial has two terms?

monomial
binomial
trinomial
polynomial

Grade 11 Polynomials and Rational Expressions

Find the value that makes the rational expression undefined.

$8/(y+6)$

$y= -4$
$y=0$
$y=3$
$y=-6$

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

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

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

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

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

Grade 10 Polynomials and Rational Expressions

Step 1 :

$7p^3r- 21p^2r - 5t^3s -10s^3t^3$

Step 2:

$(7p^3r- 21p^2r) + ( - 5t^3s -10s^3t^3)$

Which of the following is the GCF for one of the pairs of terms in step 2?

There are no common factors.
$p^3r$ is a factor of $(7p^3r- 21p^2r)$ .
$-5s$ is a factor of $( - 5t^3s -10s^3t^3)$ .
$7p^2r$ is a factor of $(7p^3r- 21p^2r)$ .

Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7

Divide. Simplify if possible.

$(x^2+x-90)/(x-3) -: (x-9)/(x^2-13x+30)$

$x-9, \ \ x!=3,9,10$
$((x+10)(x-9)^2)/((x-10)(x-3)^2), \ \ x!=9$
$((x-9)(x+10))/(x-10), \ \ x!=3,9$
$x^2-100, \ \ x!=3,9,10$

Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7

Multiply. Simplify if possible.

$(x+7)/(x-2) * (x^2+5x-14)/(x-1)$

$x-1, \ \ x!=1,2$
$((x+7)^2)/(x-1), \ \ x!=2$
$(x-1)/((x-2)^2), \ \ x!=1$
$1/(x-1), \ \ x!=2$

Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6

Simplify the rational expression.

$(3x(x-3))/((x-3)(x+3))$

$(x-3)/x, \ \ x!=-3,3$
$(3x)/(x+3), \ \ x!= 3$
$(x+3)/(x-3), \ \ x!=-3$
$1/(x-3), \ \ x!= -3$

Grade 9 Polynomials and Rational Expressions

Simplify:

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

$4x^2+4x+2$

Grade 11 Polynomials and Rational Expressions

Multiply the polynomials using the FOIL method:

$(-2x-2y)(7x+y)$ .

$-14x^2+6xy+2y^2$
$-14x^2-16xy-2y^2$
$14x^2-16xy-2y^2$
$14x^2-16xy+2y^2$

Grade 10 Polynomials and Rational Expressions

Select the polynomial that is written in standard form.

$3x^2+4x^5-7x$
$4x^5+3x^2-7x$
$-7x+4x^5+3x^2$
$7+4x^5-3x^4+2x^3$

Grade 10 Polynomials and Rational Expressions

What type of polynomial has three terms?

monomial
binomial
trinomial
polynomial

Grade 11 Polynomials and Rational Expressions

Multiply the binomials and use the FOIL method:

$(5x-4y)(x+8y)$ .

$5x^2-36xy-32y^2$
$5x^2+40xy+32y^2$
$5x^2+36xy-32y^2$
$5x^2-40xy-32y^2$

Grade 10 Polynomials and Rational Expressions

What degree is the polynomial

$3n^2+2n+1$ ?

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Polynomials and Rational Expressions Questions - All Grades