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Polynomials and Rational Expressions Questions - All Grades

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The Polynomials and Rational Expressions questions below are in the following grade levels:
Grades: 7 8 9 10 11 12 College Continuing Education
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Grade 9 :: Polynomials and Rational Expressions by jlasbell
Divide: [math](x^2 + 8x + 16)/(x + 3) -: (2x + 8)/(x^2 - 9)[/math]
  1. [math]{2(x + 4)^2}/((x - 3)(x + 3)^2)[/math]
  2. [math]{2(x + 3)(x - 3)}/(x + 4)[/math]
  3. [math]((x + 4) (x - 3))/2[/math]
  4. [math]{(x + 4)(x - 3)^2}/(2(x +3)[/math]
Grade 11 :: Polynomials and Rational Expressions by Barraza
Which expression is not considered
a polynomial?
  1. [math]x^4+2x^2+1[/math]
  2. [math]x^2 + 2^x[/math]
  3. [math]x^3 -.5x^2 - 1 [/math]
  4. [math]4[/math]
Grade 9 :: Polynomials and Rational Expressions by Piddydink
[math]12x^2 + 9x - 5 - 7x^2 + 14x - 6[/math]
  1. [math]19x^2 +23x +11[/math]
  2. [math]19x^2 + 23 - 11[/math]
  3. [math]5x^2 + 23x - 11[/math]
  4. [math]5x^2 + 5x -11[/math]
Grade 9 :: Polynomials and Rational Expressions by LBeth
What expression does the set of tiles represent?

Red SquareRed SquareGreen RectangleGreen RectangleGreen Rectangle
Red SquareRed Square4 Yellow Unit SquaresYellow Unit Square
  1. [math]4x^2 - 3x + 5[/math]
  2. [math]-4x^2 - 3x + 5[/math]
  3. [math]4x^2 + 3x + 5[/math]
  4. [math]-4x^2 + 3x + 5[/math]
Grade 9 :: Polynomials and Rational Expressions by LBeth
What expression does the set of tiles represent?

Green Rectangle XGreen Rectangle XGreen Rectangle X4 Yellow Unit Squares 1Yellow Unit Square 1
  1. [math]x^3 + 5[/math]
  2. [math]x^3 - 5[/math]
  3. [math]3x + 5[/math]
  4. [math]3x - 5[/math]
Grade 10 :: Polynomials and Rational Expressions by cmkubota
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 9 :: Polynomials and Rational Expressions by SheilaH
Simplify [math]2 + (-4)^2-10[/math].
  1. [math]-6[/math]
  2. [math]8[/math]
  3. [math]258[/math]
  4. [math]28[/math]
Grade 9 :: Polynomials and Rational Expressions by LBeth
Which set of tiles represents the expression below?

[math]x^2 - x - 6[/math]
  1. Blue SquareGreen Rectangle4 Yellow Unit SquaresYellow Unit SquareYellow Unit Square
  2. Blue SquareRed Rectangle4 Red Unit SquaresRed Unit SquareRed Unit Square
  3. Red SquareGreen Rectangle4 Yellow Unit SquaresYellow Unit SquareYellow Unit Square
  4. Red SquareRed Rectangle4 Red Unit SquaresRed Unit SquareRed Unit Square
Grade 9 :: Polynomials and Rational Expressions by LBeth
Which set of tiles represents the expression below?

[math]x^2 - 9[/math]
  1. Blue Square4 Red Unit Squares4 Red Unit SquaresRed Unit Square
  2. Blue Square4 Yellow Unit Squares4 Yellow Unit SquaresYellow Unit Square
  3. Blue SquareBlue Square4 Red Unit Squares4 Red Unit SquaresRed Unit Square
  4. Blue SquareBlue Square4 Yellow Unit Squares4 Yellow Unit SquaresYellow Unit Square
Grade 9 :: Polynomials and Rational Expressions by LBeth
Which set of tiles represents the expression below?

[math]7x - 8[/math]
  1. Red RectangleRed RectangleRed RectangleRed RectangleRed RectangleRed RectangleRed Rectangle4 Red Unit Squares4 Red Unit Squares
  2. Red RectangleRed RectangleRed RectangleRed RectangleRed RectangleRed RectangleRed Rectangle4 Yellow Unit Squares4 Yellow Unit Squares
  3. Green RectangleGreen RectangleGreen RectangleGreen RectangleGreen RectangleGreen RectangleGreen Rectangle4 Red Unit Squares4 Red Unit Squares
  4. Green RectangleGreen RectangleGreen RectangleGreen RectangleGreen RectangleGreen RectangleGreen Rectangle4 Yellow Unit Squares4 Yellow Unit Squares
Grade 9 :: Polynomials and Rational Expressions by LBeth
Which set of tiles represents the expression below?

[math]-x + 6[/math]
  1. Red RectangleYellow Unit SquareYellow Unit SquareYellow Unit SquareYellow Unit SquareYellow Unit SquareYellow Unit Square
  2. Green RectangleRed Unit SquareRed Unit SquareRed Unit SquareRed Unit SquareRed Unit SquareRed Unit Square
  3. Red SquareYellow Unit SquareYellow Unit SquareYellow Unit SquareYellow Unit SquareYellow Unit SquareYellow Unit Square
  4. Blue SquareRed Unit SquareRed Unit SquareRed Unit SquareRed Unit SquareRed Unit SquareRed Unit Square
Grade 9 :: Polynomials and Rational Expressions by LBeth
What expression does the set of tiles represent?

Green RectangleGreen Rectangle4 Red Unit Squares
  1. [math]6x[/math]
  2. [math]-8x[/math]
  3. [math]2x + 4[/math]
  4. [math]2x - 4[/math]
Grade 9 :: Polynomials and Rational Expressions by jlasbell
What is [math](12a^3 - 20a^2)/(16a^2 +8a)[/math] reduced to lowest terms?
  1. [math]a/2[/math]
  2. [math](3a - 5)/(2a + 1)[/math]
  3. [math]-(2a)/(4+2a)[/math]
  4. [math](a(3a - 5))/(2(2a +1))[/math]
Grade 9 :: Polynomials and Rational Expressions by jlasbell
Which fraction equals the product?

[math]((x + 5)/(3x + 2))((2x - 3)/(x - 5))[/math]
  1. [math](2x - 3)/(3x + 2)[/math]
  2. [math](3x + 2)/(4x - 3)[/math]
  3. [math](x^2 - 25)/(6x^2 - 5x - 6)[/math]
  4. [math](2x^2 + 7x - 15)/(3x^2 - 13x - 10)[/math]
Grade 9 :: Polynomials and Rational Expressions by Piddydink
[math]17a^3b^4 - 12ab^3 - 6a^3b^4 + 15ab^3[/math]
  1. [math]11a^3b^4 + 3ab^3[/math]
  2. [math]5a^3b^4 + 3ab^3[/math]
  3. [math]23a^3b^4 + 27ab^3[/math]
  4. [math]23a^3b^4 + 3ab^3[/math]
Grade 10 :: Polynomials and Rational Expressions by Piddydink
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 9 :: Polynomials and Rational Expressions by jlasbell
Simplify: [math](5x^3)/(10x^7)[/math]
  1. [math]2x^4[/math]
  2. [math]1/(2x^4)[/math]
  3. [math]1/(5x^4)[/math]
  4. [math]x^4/5[/math]
Grade 10 :: Polynomials and Rational Expressions by Piddydink
Factor: [math]6x^4 + 18x^3 - 24x^2[/math]
  1. [math]6x^2(x^2 + 3x - 4)[/math]
  2. [math]6x^3(x + 3x - 4)[/math]
  3. [math]3x^2 (2x^2 + 6x - 8)[/math]
  4. [math]3x^4 - 2x + 4)[/math]
Grade 10 :: Polynomials and Rational Expressions by Piddydink
x(8x - 5y) - x(x - 6y) - 3x(3 + 3y)
  1. [math]9x^2 +15xy -14x[/math]
  2. [math]7x^2 - 8xy - 9x[/math]
  3. [math]9x^2 +xy - 18x[/math]
  4. [math]7x^2 + 8xy - 9x[/math]
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