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Quadratic Equations and Expressions Questions - All Grades

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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-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 + 9x + 18 = 0[/math].
  1. 3 and 6
  2. -3 and -6
  3. -3 and 6
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
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 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Complete the square for [math]f(x)=x^2+6x+8[/math] to find the vertex.
  1. Vertex: (−3,−1)
  2. Vertex: (3,−1)
  3. Vertex: (−3,1)
  4. Vertex: (3,1)
Grade 11 Quadratic Equations and Expressions
Which is standard form of a quadratic function?
  1. [math]y = mx+b[/math]
  2. [math]y = x^3[/math]
  3. [math]y= ax^2 + bx + c[/math]
  4. [math]y=x^2[/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: 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
Determine the solutions of [math]x^2 - 14x +49 = 48.[/math]
  1. [math]- 7 +- 4sqrt3[/math]
  2. [math]- 7 +- 16sqrt3[/math]
  3. [math]7 +- 4sqrt3[/math]
  4. [math]7 +- 16sqrt3[/math]
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]
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 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 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
If [math]2x^2 - 8x + 4 = 0, x =[/math]
  1. [math]-2 +- sqrt 2[/math]
  2. [math]-2 +- 2 sqrt 2[/math]
  3. [math]2 +- sqrt 2[/math]
  4. [math]2 +- 2 sqrt 2[/math]
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
What is the vertex of the function [math]f(x)=−2x^2+8x+7 [/math]after completing the square?
  1. (2,7)
  2. (-2,7)
  3. (2,15)
  4. (2,−1)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor the quadratic function [math]f(x)=x^2−2x−24[/math], and find the zeros.
  1. Zeros: x=6,−4
  2. Zeros: x=-6,4
  3. Zeros: x=-8, 3
  4. Zeros: x=0, 5
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
What are the x-intercepts of the quadratic function [math]f(x)=2x^2−8x+6[/math]?
  1. x=-1,3
  2. x=1,3
  3. x= 0,4
  4. x= 2,4
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor the quadratic function [math]f(x)=x^2+5x+6[/math] and find the zeros.
  1. x=2,3
  2. x=-2,-3
  3. x=-1, 5
  4. x=1,6
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Rewrite the quadratic function [math]f(x)=2x^2+8x+5[/math] in vertex form.
  1. [math]2(x+2)^2+1[/math]
  2. [math]2(x -2)^2-1[/math]
  3. [math]2(x+2)^2-3[/math]
  4. [math]2(x-2)^2+3[/math]
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