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Quadratic Equations and Expressions Questions - All Grades

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Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve for x.
[math]x^2 + x=12[/math]
  1. 6, -2
  2. -3, -4
  3. -4, 3
  4. -2, 6
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor. [math]6x^2 - 19x + 10 [/math]
  1. [math](3x-10)(2x+1)[/math]
  2. [math](6x - 5)(x-2)[/math]
  3. [math](3x - 5)(2x-2)[/math]
  4. [math](3x-2)(2x-5)[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
By factoring the expression [math]12x^2 + 6x - 6[/math], find the zeros of the quadratic function this expression defines.
  1. [math]x=-1, 1/2[/math]
  2. [math]x = -3/4, 2/3[/math]
  3. [math]x = -3/2, 1/3[/math]
  4. [math]x = -2, 1/4[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
If [math]x^2-16[/math] represents a quadratic function, what would the zeros of this function be? Use factoring to solve.
  1. [math]x=4[/math]
  2. [math]x=-4,4[/math]
  3. [math]x=-4[/math]
  4. [math]x=-2,8[/math]
Grade 9 Quadratic Equations and Expressions
If [math]s=-8, s^2 - 3s =[/math]
  1. -88
  2. -40
  3. 40
  4. 88
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
For the quadratic function defined by the expression [math] x^2+x-2 [/math], find its zeros by factoring.
  1. [math]x = -2,-1[/math]
  2. [math]x=-1,2[/math]
  3. [math]x=-2,1[/math]
  4. Cannot be factored.
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
What are the zeros of the function defined by the expression [math]x^2 + 4x - 12?[/math]
  1. [math]x=-4,3[/math]
  2. [math]x=-3,4[/math]
  3. [math]x=-2,6[/math]
  4. [math]x=-6,2[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
What are the zeros of the quadratic function defined by the expression [math]9x^2 - 12x + 4 ?[/math]
  1. [math]-1/3, 4/3[/math]
  2. [math]-4/3, 1/3[/math]
  3. [math]x=2/3[/math]
  4. [math]x= -2/3, 2/3[/math]
Grade 9 Quadratic Equations and Expressions
Expand and simplify.
[math](x- 5 ) (x + 6)[/math]
  1. [math]x^2 - 1x + 30[/math]
  2. [math]x^2 +11 x - 30[/math]
  3. [math]x^2 + x - 30[/math]
  4. [math]x^2 - 11x -30[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor the expression.
[math]9x^2 + 24x +16[/math]
  1. [math](x + 4)(9x - 1)[/math]
  2. [math](3x + 16)(3x + 1)[/math]
  3. [math](3x + 4)^2[/math]
  4. [math](3x + 8)^2[/math]
Grade 11 Quadratic Equations and Expressions
What is the simplified form of [math](3x^3y^-4)^-2?[/math]
Exponent answers must have positive exponents in them.
  1. [math]y^8/(6x^-2)[/math]
  2. [math](9y^8)/(x^6)[/math]
  3. [math](y^8)/(9x^6)[/math]
  4. [math](y^8)/(9x^-6)[/math]
Grade 9 Quadratic Equations and Expressions CCSS: HSA-APR.A.1
Subtract. [math] (7a^2 - 3a) - (5a^2 - 5a)[/math]
  1. [math] 2a^2 - 8a[/math]
  2. [math] 2a^2 + 2a[/math]
  3. [math] 4[/math]
  4. [math]12a^2 - 8a [/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.7, HSF-IF.C.7a
When graphing a quadratic function there is always a y-intercept.
  1. True
  2. False
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve for [math]x[/math] if [math]x^2 + 2x + 1 = 0[/math].
  1. 1
  2. -1
  3. 2
Grade 9 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor the expression.
[math]x^2 - 10 x + 16[/math]
  1. [math]( x - 8) (x - 2)[/math]
  2. [math](x -4 ) (x - 4)[/math]
  3. [math](x - 8) (x +2)[/math]
  4. [math](x + 8 ) (x - 2)[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSF-BF.B.3
Which option best describes the transformations of the graph of the function [math]y=2(x-1)^2[/math] from the parent function?
  1. Move up one and stretch vertically
  2. Move up one and compress vertically
  3. Move right one and stretch vertically
  4. Move down one and compress vertically
Grade 9 Quadratic Equations and Expressions
What are the roots of the equation [math](x-2)(x+5)=0[/math]?
  1. 2 and 5
  2. 2 and -5
  3. -2 and -5
  4. -2 and 5
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