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Tenth Grade (Grade 10) Quadratic Equations and Expressions Questions

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Grade 10 Quadratic Equations and Expressions
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 10 Quadratic Equations and Expressions
Which equation represents the parabola shown below?
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
What is the vertex of the following equation? Also, is this a minimum or maximum?
[math] y = 3x^2 + 24x + 57 [/math]
  1. [math](-4,9)[/math], minimum
  2. [math](4,9)[/math], maximum
  3. [math](0,57)[/math], minimum
  4. [math](-12,87)[/math], minimum
Grade 10 Quadratic Equations and Expressions
Find the solution of the following: [math]x^2 + 5 = 32[/math].
  1. [math]x = +-9sqrt6[/math]
  2. [math]x = +-3sqrt3[/math]
  3. [math]x = +-sqrt32[/math]
  4. [math]x = +-3sqrt6[/math]
Grade 10 Quadratic Equations and Expressions
Which equation represents the parabola shown below?
Graph - Quadratic Function y=-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
Which quadratic equation has roots -2 and 3?
  1. [math]x^2+x+6=0[/math]
  2. [math]x^2-x-6=0[/math]
  3. [math]x^2-6x+1=0[/math]
  4. [math]x^2+x-6=0[/math]
Grade 10 Quadratic Equations and Expressions
The quadratic expression [math]-x^2 +4x -3[/math] written in the form [math]k-a(x-h)^2 [/math] is
  1. [math]1-(x+2)^2 [/math]
  2. [math]1-(x-2)^2[/math]
  3. [math]3-(x+2)^2[/math]
  4. [math]3-(x-2)^2[/math]
Grade 10 Quadratic Equations and Expressions
Factor the trinomial [math]x^2+4x-5[/math].
  1. [math](x-1)(x+5)[/math]
  2. [math]x^2-1[/math]
  3. [math](x+4)(x+9)[/math]
  4. [math]5x^2-5[/math]
Grade 10 Quadratic Equations and Expressions
Grade 10 Quadratic Equations and Expressions
Grade 10 Quadratic Equations and Expressions
Factor the trinomial:

[math]x^2+5x+4[/math]
  1. [math](x-1)(x-4)[/math]
  2. [math]x+5[/math]
  3. [math]x^2+9[/math]
  4. [math](x+1)(x+4)[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3a
Find the roots of [math]y=(x-6)(2x-4)[/math]
  1. 2 and 6
  2. 6 and 4
  3. 4 and 3
  4. -4 and -2
Grade 10 Quadratic Equations and Expressions
Grade 10 Quadratic Equations and Expressions
Grade 10 Quadratic Equations and Expressions
Factor: [math]b^2 - b - 20[/math]
  1. [math](2b - 5) (b + 4)[/math]
  2. [math](b - 5) (b + 4)[/math]
  3. [math](b -10) (b + 2)[/math]
  4. [math](b + 5) (b - 4)[/math]
Grade 10 Quadratic Equations and Expressions
Solve:

[math]y^2+2y+1=0[/math]
  1. [math]y=3[/math]
  2. [math]y=0[/math]
  3. [math]y=-1[/math]
  4. [math]y=1[/math]
Grade 10 Quadratic Equations and Expressions
Which quadratic function has its vertex at (-3, 5) and opens down?
  1. [math]y=(x-3)^2+5[/math]
  2. [math]y=-(x+3)^2+5[/math]
  3. [math]y=(x+3)^2-5[/math]
  4. [math]y=-(x-3)^2+5[/math]
Grade 10 Quadratic Equations and Expressions
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