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Polynomials and Rational Expressions Questions - All Grades

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

[math](3x^2+3x+1) + (x^2+x+5)[/math]
  1. [math]4x^2+4x+6[/math]
  2. [math]3x^2-2x+4[/math]
  3. [math]4x^2-4x-6[/math]
  4. [math]2x^2+2x-4[/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 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply.
[math]3x^2 * (4x^3 - 7)[/math]
  1. [math]12x^6[/math]
  2. [math]4x^3 + 3x^2 - 7[/math]
  3. [math]7x^5 - 4x^2[/math]
  4. [math]12x^5 - 21x^2[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Subtract.
[math](2m^5 + 3m^2 -7) - (4m^4 - 2m^3 + 5m)[/math]
  1. [math]2m^5 -4m^4 + 2m^3 +3m^2 -5m -7[/math]
  2. [math]-2m^5 + 5m^2 -7 - 5m[/math]
  3. [math]2m^5 + m^2 +5m - 7[/math]
  4. [math]2m^5 -4m^4 +m^2 +5m -7[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Add the polynomials.
[math](4a^2 + b^2 + a - 5c + 7) + (c^2 - 5 + a - 3b^2 - 6a^2)[/math]
  1. [math]4a^2 -3b^2 -4c^2 + 2a + 7[/math]
  2. [math]10a^2 + 4b^2 +c^2 + 2a + 5c + 12[/math]
  3. [math]4a^2c^2 + ab^2 - 8b^2c - a^2 - 5a [/math]
  4. [math]-2a^2 - 2b^2 + c^2 + 2a - 5c + 2[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-REI.A.1
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Add the polynomials.
[math](5z^2 - 4z + 4) + (-3z - z^2 + 5)[/math]
  1. [math]2z^2 - 5z + 9[/math]
  2. [math]6z^2 + 7z + 9[/math]
  3. [math]8z^2 + 5z + 9[/math]
  4. [math]4z^2 - 7z + 9[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply the monomials.
[math]3x^7 * 2x^4[/math]
  1. [math]6x^11[/math]
  2. [math]5x^11[/math]
  3. [math]6x^28[/math]
  4. [math]5x^28[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply.
[math]2x^3y * (-5x^2y + 9xy - 4y^2 + x -3)[/math]
  1. [math]-10x^5y^2 + 18x^4y^2 - 8x^3y^3 + 2x^4y - 6x^3y[/math]
  2. [math]2x^3y - 5x^2y + 9xy - 4y^2 + x - 3[/math]
  3. [math]-10x^6y + 9x^3y - 4y^2 + 2x^3 - 6[/math]
  4. [math]-3x^6y^2 + 11x^3y^2 - 2x^3y^2 +2x^4y - x^3y[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Subtract the polynomials.
[math](6x^3 - 4x^2y + 9xy^2 - 2y^3) - (xy^2 - 3x^2y + 4x^3 - 7y^3)[/math]
  1. [math]5x^3 - x^2y + 5xy^2 + 5y^3[/math]
  2. [math]2x^3 - x^2y + 8xy^2 +5y^3[/math]
  3. [math]2x^3 - 7x^2y + 8xy^2 - 9y^3[/math]
  4. [math]5x^3 -5x^2y + 12xy^2 - 9y^3[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply.
[math]3x (5x^3 + 2x^2 - 7x)[/math]
  1. [math]15x^3 + 3x^2 - 21x[/math]
  2. [math]15x^4 + 6x^3 - 21x^2[/math]
  3. [math]5x^3 + 2x^2 - 4x[/math]
  4. [math]8x^4 +5x^3 - 4x^2[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply the monomial with the trinomial.
[math]3x^2 * (5y^2 -3y + 6)[/math]
  1. [math]3x^2 + 5y^2 - 3y + 6[/math]
  2. [math]15x^2y^2 - 9x^2y + 18x^2[/math]
  3. [math]8x^2y^2 + 9x^2[/math]
  4. [math]15x^2y^2 - 3y +6[/math]
Grade 9 Polynomials and Rational Expressions
The following expression is a
[math]x^3 + 2x^2- 5x - 10[/math]
  1. monomial.
  2. binomial.
  3. trinomial.
  4. polynomial.
Grade 9 Polynomials and Rational Expressions
Subtract the two polynomials.
[math](4a^2 - 3c^2 - a + 7b -13) - (3a^2 +5b^2 + 2b - 3c +3)[/math]
  1. [math]a^2 + 5b^2 - 3c^2 -a +5b -3c -10[/math]
  2. [math]a^2 - 8c^2 -3a + 10b -16[/math]
  3. [math]a^2 - 5b^2 - 3c^2 - a + 5b + 3c - 16[/math]
  4. [math]a^2 +5b-16[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Subtract the polynomials.
[math](-3z^2 + 9z -4) - (4z^2 -5 + z)[/math]
  1. [math]-7z^2 + 8z +1[/math]
  2. [math]-z^2 + 8z - 9[/math]
  3. [math]z^2 + 10z -9[/math]
  4. [math]7z^2 +4z -3[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Add.
[math](-4x^2 + 7x -11) + (6x^3 -7x +10)[/math]
  1. [math]2x^2 + x -1[/math]
  2. [math]6x^3 - 4x^2 -1[/math]
  3. [math]-2x^3 - x + 1[/math]
  4. [math]10x^2 + 14x + 21[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
What is [math](x^2 - 4xy + 4y^2)/(3xy - 6y^2)[/math] reduced to lowest terms?
  1. [math](x - 2y)/3[/math]
  2. [math](x - 2y) /(3y)[/math]
  3. [math](x + 2y)/3[/math]
  4. [math](x + 2y) / (3y)[/math]
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