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Polynomials and Rational Expressions Questions - All Grades

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Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Simplify. Answer must only have positive exponents.
[math](x^-3 * y^-4 * y^2 *x^1) / (x^5 * y^2)[/math]
  1. [math](x^-2 * y^-2)/(x^5 * y^2)[/math]
  2. [math](y^2 * x)/(x^8 * y^6)[/math]
  3. [math]1 / (x^8 * y^6)[/math]
  4. [math]1 / (x^7 * y^4)[/math]
Grade 7 Polynomials and Rational Expressions
[math](12c + 8d) - (7c - 5d)[/math]
  1. [math]19c - 3d[/math]
  2. [math]19c + 13d[/math]
  3. [math]5c - 3d[/math]
  4. [math]5c + 13d[/math]
Grade 11 Polynomials and Rational Expressions
[math]4k^2 - 100[/math]
  1. [math](2k + 10)(2k + 10)[/math]
  2. [math](2k -10)(2k - 10)[/math]
  3. [math](2k + 10)(2k - 10)[/math]
  4. [math](4k + 10)(k -10)[/math]
Grade 11 Polynomials and Rational Expressions
Write the given polynomial in standard form.

Given: 4g–g³ +3g² –2
  1. –2+4g+3g²–g³
  2. 3g³ –g² +4g–2
  3. g³–3g²+4g–2
  4. –g³ +3g² +4g–2
Grade 11 Polynomials and Rational Expressions
[math]k^2 - 196[/math]
  1. [math](k + 14)(k - 14)[/math]
  2. [math](k - 28)(k + 2)[/math]
  3. [math](k + 14)(k + 14)[/math]
  4. [math](k - 14)(k - 14)[/math]
Grade 11 Polynomials and Rational Expressions
Determine the best statement that describes the:

Given: 40x² - 20x + 48x - 24
  1. Is an expression that can be simplified to 3 terms. 40x² + 28x - 24
  2. Is an equation can be solved for the value of x. x =6 ⁄17
  3. Is an expression that can be simplified to 2 terms. 68x -24
  4. Is an expression that can be simplified to a term. 44x
Grade 11 Polynomials and Rational Expressions
Grade 9 Polynomials and Rational Expressions
Grade 11 Polynomials and Rational Expressions
Step 1 : 7p³r- 21p²r - 5t³s -10s³t³

Step 2: (7p³r- 21p²r)+( - 5t³s -10s³t³)

Which of the following is a possible factor for the given?
  1. There is no common factor.
  2. p³r is a factor of (7p³r- 21p²r).
  3. -5s is a factor of ( - 5t³s -10s³t³).
  4. 7p²r is a factor of (7p³r- 21p²r).
Grade 11 Polynomials and Rational Expressions
Grade 11 Polynomials and Rational Expressions
Grade 11 Polynomials and Rational Expressions
[math]n^2 + 3n - 28[/math]
  1. [math](n + 7)(n + 4)[/math]
  2. [math](n - 4)(n - 7)[/math]
  3. [math](n + 4)(n - 7)[/math]
  4. [math](n - 4)(n + 7)[/math]
Grade 11 Polynomials and Rational Expressions
[math]100k^2 - 121[/math]
  1. [math](10k +11)(10k -11)[/math]
  2. [math](10k + 11)(10k + 11)[/math]
  3. [math](10k - 11)(10 - 11)[/math]
  4. [math](20k + 121)(5k - 1)[/math]
Grade 7 Polynomials and Rational Expressions
[math](9m^2 + 3m) + (11m^2 - m)[/math]
  1. [math]20m^2 -2m [/math]
  2. [math]20m^4 - 3[/math]
  3. [math]20m^2 +2m[/math]
  4. [math]20m^4 +m^2[/math]
Grade 8 Polynomials and Rational Expressions
Combine Like Terms
[math]4x^2 + 5z + 18x^2[/math]
  1. [math]14x^2 + 5z[/math]
  2. [math]22x^2 + 5z[/math]
  3. [math]22x^2 - 5z[/math]
  4. [math]-18x^2 - 5z[/math]
Grade 11 Polynomials and Rational Expressions
Answer the following 2 questions based upon the given:

Given: (5x + 6)(8x - 4).

The given is an example of:
  1. monomial , binomial addition and subtraction
  2. binomial , binomial multiplication
  3. binomial, binomial addition and subtraction
  4. monomial , trinomial multiplication
Grade 11 Polynomials and Rational Expressions
[math]25x^2 + 110x + 121[/math]
  1. [math](11x - 5)^2[/math]
  2. [math](5x - 11)^2[/math]
  3. [math](5x + 11)^2[/math]
  4. [math](4x - 11)^2[/math]
Grade 7 Polynomials and Rational Expressions
[math](13x^2y - 7x^2) + (5x^2y - 3x^2)[/math]
  1. [math]18x^2y - 10x^2[/math]
  2. [math]18x^2y + 4x^2[/math]
  3. [math]8x^2y + 4x^2[/math]
  4. [math]18x^4y^2 -10x^4[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math](3x^2y^3+xy^2)(x^4y-2x^2y^2)[/math]
  1. [math]3x^4y^2-6x^4y^6+x^5y^2-2x^3y^4[/math]
  2. [math]3x^6y^4-6x^4y^5+x^5y^3-2x^3y^4[/math]
  3. [math]3x^6y^4-6x^4y^5+x^4y^4-2x^2y^2[/math]
  4. [math]3x^4y^6-6x^5y^4+x^3y^5-2x^4y^3[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math](2x+3)(5x-8)[/math]
  1. [math]10x^2+x-24[/math]
  2. [math]10x^2-31x-24[/math]
  3. [math]10x^2-x-24[/math]
  4. [math]7x^2+10x-5[/math]
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