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Quadratic Equations and Expressions Questions - All Grades

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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 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 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 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
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.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-SSE.B.3, HSA-SSE.B.3a
The correct factorization of [math]x^2 - 6x -27[/math] is one of the following:
  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
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 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve the equation [math]x^2-2x-35=0[/math].
  1. x=-7 and x=5
  2. x=-7 and x=-5
  3. x=7 and x=-5
  4. x=7 and x=5
Grade 9 Quadratic Equations and Expressions
Which equation represents the graph?
Graph - Quadratic Function y=2x^2
  1. [math]y = x[/math]
  2. [math]y = x^2[/math]
  3. [math]y = - x[/math]
  4. [math]y = - x^2[/math]
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 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4
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
Which equation represents the parabola shown?
Graph - Quadratic Function y=-1/2x^2
  1. [math]y=1/2 x^2[/math]
  2. [math]y=-1/2 x^2[/math]
  3. [math]y=2x^2[/math]
  4. [math]y=-2x^2[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4a
Which equation has the same solutions as [math]x^2 + 6x - 7 = 0[/math]?
  1. [math](x + 3)^2 = 2[/math]
  2. [math](x - 3)^2 = 2[/math]
  3. [math](x - 3)^2 = 16[/math]
  4. [math](x + 3)^2 = 16[/math]
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Grade 9 Quadratic Equations and Expressions
Which equation represents the graph of the parabola?
Graph - Quadratic Function y=-x^2
  1. [math]y = - x/2[/math]
  2. [math]y = x/2[/math]
  3. [math]y = -(x^2)/2[/math]
  4. [math]y = (x^2)/2[/math]
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