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Tenth Grade (Grade 10) Quadratic Equations and Expressions Questions

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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
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
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 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 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 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 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Find the zeros of the function defined by the expression [math]3x^2 - 14x + 8[/math].
  1. [math]x = 2/3, 4[/math]
  2. [math]x=2,4[/math]
  3. [math]x = 1,8[/math]
  4. [math]x = 2, 4/3[/math]
Grade 10 Quadratic Equations and Expressions
Find the a, b, and c for this quadratic equation.
[math]-6x^2-12=0[/math]
  1. [math]a=-6, b =0, and c=-12[/math]
  2. [math]a=6, b = 0, and c= 12[/math]
  3. [math]a=0, b= 12, and c =-6[/math]
  4. [math]a= -12, b=-6, and c= 0[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.7, HSF-IF.C.7a
If [math]f(x)[/math] is a quadratic function, which has two distinct x-intercepts when graphed, which of the following is true?
  1. The x-value of the vertex is the average of the two x-intercepts.
  2. The y-value of the vertex will be greater than the value of either x-intercept.
  3. The vertex of the function will lie on the y-axis.
  4. The x-intercepts have no special relation to the vertex.
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 10 Quadratic Equations and Expressions CCSS: HSA-REI.D.10
Which of the points below lie on this graph of a quadratic equation? There may be more than one correct answer.
Graph - Quadratic Function y=-1/2x^2
  1. [math](3,-3)[/math]
  2. [math](2,-2)[/math]
  3. [math](-2,-2)[/math]
  4. [math](1,-1)[/math]
Grade 10 Quadratic Equations and Expressions
Expand. [math](2x + 4 )(2-x)[/math]
  1. [math]8 - 2x^2[/math]
  2. [math]12 - 2x^2[/math]
  3. [math]8x - 2x^2[/math]
  4. [math]8 + 2x^2[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Which is the correct factorization of [math]x^2 - 6x -27?[/math]
  1. (x + 3)(x - 9)
  2. (x - 3)(x +9)
  3. (x - 3)(x - 9)
  4. (x + 3)(x + 9)
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
What are the roots of the equation?
[math]x^2-5x+6=0[/math]
  1. 2, 3
  2. 3, -2
  3. -2, -3
  4. 2, -3
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Declare which of the following is the solution to [math]10x^2 + x -2 = 0.[/math]
  1. [math]x = - 5, x = -2[/math]
  2. [math]x = - 1/2, x = 2/5[/math]
  3. [math]x = - 2/5, x = 1/2[/math]
  4. [math]x = 2, x = 5[/math]
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