Want to see correct answers?
Login or join for free!
  Algebra Worksheets
Looking for Algebra worksheets?
Check out our pre-made Algebra worksheets!
Share/Like This Page
Filter By Grade

You are browsing Grade 10 questions. View questions in All Grades.

Grade 6 Grade 7 Grade 8 Grade 9 Grade 10 Grade 11 Grade 12 College

Browse Questions

Tenth Grade (Grade 10) Polynomials and Rational Expressions Questions

You can create printable tests and worksheets from these Grade 10 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.

Previous Page 1 of 6 Next
Grade 10 Polynomials and Rational Expressions
Match each factored expression with its corresponding expanded form.
__ [math]2(x-5)^2[/math] A. [math]3x^3-27x^2[/math]
__ [math]3x^2(x-9)[/math] B. [math]2x^2 + 2x-24[/math]
__ [math]2(x+4)(x-3)[/math] C. [math]x^3-x^2-5x+5[/math]
__ [math](x^2-5)(x-1)[/math] D. [math]2x^2 -20x+50[/math]
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Multiply. Simplify if possible. [math](2x^2)/5*25/x^3[/math]
  1. [math](2x^2 + 25)/(5x^3)[/math]
  2. [math](2x^5)/(125), \ \ x!=0[/math]
  3. [math]10/x[/math]
  4. [math]x/10, \ \ x!=0[/math]
Grade 10 Polynomials and Rational Expressions
Given: [math] (5x + 6)(8x - 4) [/math]

What is the product of the given?
  1. [math] 13x + 2 [/math]
  2. [math] 40x - 24 [/math]
  3. [math] 40x^2 + 24 [/math]
  4. [math] 40x^2 - 20x + 48x - 24 [/math]
Grade 10 Polynomials and Rational Expressions CCSS: HSA-SSE.A.2
Factor the expression.
[math]x^4 - y^4[/math]
  1. [math](x - y)^4[/math]
  2. [math](x^2 + y^2)(x + y)(x - y)[/math]
  3. [math](x^2 + y^2)(x^2 - y^2)[/math]
  4. Can't be factored
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Divide. Simplify if possible. [math](x+3)/(7x) -: (x-3)/(21x)[/math]
  1. [math](3(x+3))/(x-3), \ \ x!=0[/math]
  2. [math]3, \ \ x!=0, 3[/math]
  3. [math]((x+3)(x-3))/(147x^2), \ \ x!=3[/math]
  4. [math](3(x-3))/(x+3), \ \ x!=0,3[/math]
Grade 10 Polynomials and Rational Expressions
Which of the following represents the simplified polynomial expression, given [math]3x^2y(3x^2y^2+7xy^3-4y^4)[/math] ?
  1. [math]9x^4y^6+21x^2y^3-12x^2y^4[/math]
  2. [math]6x^2y^2+10x^2y^3-7x^2y^4[/math]
  3. [math]9x^4y^3+21x^3y^4-12x^2y^5[/math]
  4. [math]6x^4y^3+10x^3y^4-7x^2y^5[/math]
Grade 10 Polynomials and Rational Expressions
Write the expression [math](x + 5)(x + 2)[/math] as a polynomial in standard form.
  1. [math] x^2 + 3x + 10 [/math]
  2. [math] x^2 - 3x + 7 [/math]
  3. [math] x^2 +7x + 10 [/math]
  4. [math] x^2 +3x -3 [/math]
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Divide. Simplify if possible. [math](x^2-12x+36)/(2x-12)-:(5x-30)/10[/math]
  1. [math]x-6, \ \ x!=6[/math]
  2. [math]1/(x-6)[/math]
  3. [math](x-6)^2/4, \ \ x!= 6[/math]
  4. [math]1, \ \ x!=6[/math]
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Add. Simplify the result if possible. [math]5/(15x)+6/(15x) [/math]
  1. [math]11/(15x)[/math]
  2. [math]1, \ \ x!=0[/math]
  3. [math](15x)/11, \ \ x!=0[/math]
  4. [math]11/(30x)[/math]
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Subtract. Simplify if possible. [math](9x^2)/(x-1)-(9x)/(x-1)[/math]
  1. [math](9x(x+1))/(x+1), \ \ x!=1[/math]
  2. [math](9x)/(x-1)[/math]
  3. [math]0, \ \ x!=1[/math]
  4. [math]9x, \ \ x!=1[/math]
Grade 10 Polynomials and Rational Expressions
Identify the property used to begin the factoring of the given polynomial.

Given: [math] 7p^3r - 5t^3s - 21p^2r -10s^3t^3 [/math]

Step 1: [math] 7p^3r- 21p^2r - 5t^3s -10s^3t^3 [/math]
  1. Associative Property
  2. Commutative Property
  3. Distributive Property
  4. Substitution Property
Grade 10 Polynomials and Rational Expressions
Factor by grouping.
[math]15x^3-6x^2-25x+10[/math]
  1. [math](5x-5)(3x^2-2)[/math]
  2. [math](x-2)(15x^2-5)[/math]
  3. [math](15x-2)(x^2-5)[/math]
  4. [math](5x-2)(3x^2-5)[/math]
Grade 10 Polynomials and Rational Expressions
Simplify the expression.
[math](9x^3+2)+(2x^3-1)[/math]
  1. [math]11x^3+1[/math]
  2. [math]7x^3+1[/math]
  3. [math]9x^3-1[/math]
  4. [math]10x^3-1[/math]
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Multiply. Simplify if possible. [math](2x-2)/x * (8x^2)/(3x-3)[/math]
  1. [math]3/(16x), \ \ x!= 1[/math]
  2. [math](3(x+1)^2)/(4x^2), \ \ x!=1[/math]
  3. [math](16x)/3, \ \ x!= 0,1[/math]
  4. [math](16x-1)/(3x^2), \ \ x!=1[/math]
Grade 10 Polynomials and Rational Expressions
Name the polynomial by degree and the number of terms.
[math] 9x^3-10x^5+26[/math]
  1. Quintic Trinomial
  2. Quintic Monomial
  3. Quintic Binomial
  4. Quintic Polynomial
Grade 10 Polynomials and Rational Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor: [math]9y^2 - 25[/math]
  1. [math](3y + 5) (3y - 5)[/math]
  2. [math](9y + 5) (9y - 5)[/math]
  3. [math](9y - 25) (y + 1)[/math]
  4. [math](3y + 30) (3y - 5)[/math]
Grade 10 Polynomials and Rational Expressions
What type of polynomial has two terms?
  1. monomial
  2. binomial
  3. trinomial
  4. polynomial
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Divide. Simplify if possible. [math](x^2+x-90)/(x-3) -: (x-9)/(x^2-13x+30)[/math]
  1. [math]x-9, \ \ x!=3,9,10[/math]
  2. [math]((x+10)(x-9)^2)/((x-10)(x-3)^2), \ \ x!=9[/math]
  3. [math]((x-9)(x+10))/(x-10), \ \ x!=3,9[/math]
  4. [math]x^2-100, \ \ x!=3,9,10[/math]
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Multiply. Simplify if possible. [math](x+7)/(x-2) * (x^2+5x-14)/(x-1)[/math]
  1. [math]x-1, \ \ x!=1,2[/math]
  2. [math]((x+7)^2)/(x-1), \ \ x!=2[/math]
  3. [math](x-1)/((x-2)^2), \ \ x!=1[/math]
  4. [math]1/(x-1), \ \ x!=2[/math]
Grade 10 Polynomials and Rational Expressions
Step 1 : [math] 7p^3r- 21p^2r - 5t^3s -10s^3t^3 [/math]

Step 2: [math] (7p^3r- 21p^2r) + ( - 5t^3s -10s^3t^3) [/math]

Which of the following is the GCF for one of the pairs of terms in step 2?
  1. There are no common factors.
  2. [math]p^3r[/math] is a factor of [math](7p^3r- 21p^2r)[/math].
  3. [math]-5s[/math] is a factor of [math]( - 5t^3s -10s^3t^3)[/math].
  4. [math]7p^2r[/math] is a factor of [math](7p^3r- 21p^2r)[/math].
Previous Page 1 of 6 Next
You need to have at least 5 reputation to vote a question down. Learn How To Earn Badges.