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Ninth Grade (Grade 9) Quadratic Equations and Expressions Questions

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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 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-REI.B.4, HSA-REI.B.4b
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
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, HSA-REI.B.4b
Grade 9 Quadratic Equations and Expressions
[math]x+2x^2-3=4x+x^2+2[/math] is equivalent to which of the following?
  1. [math]3x^2-x+5=0[/math]
  2. [math]x^2-3x=5[/math]
  3. [math]x^2-5=-3x[/math]
  4. [math]x^2-5=3x[/math]
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4
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]
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Grade 9 Quadratic Equations and Expressions
[math]1/2x-x^2=4-2x[/math] is equivalent to which of the following?
  1. [math]2 1/2x-4=x^2[/math]
  2. [math]x^2=4x-5/2[/math]
  3. [math]x^2-4=2 1/2x[/math]
  4. [math]x^2=2 1/2x+4[/math]
Grade 9 Quadratic Equations and Expressions
Simplify as much as possible. [math]x+2x^2-3=-5x+x^2-12[/math]
  1. [math]x=0[/math]
  2. [math]x=-3[/math]
  3. [math]x^2=-9[/math]
  4. [math]x=6[/math]
Grade 9 Quadratic Equations and Expressions
Which equation represents the graph of the parabola?
Graph - Quadratic Function y=1/2x^2
  1. [math]y = 1/2x[/math]
  2. [math]y =-1/2x[/math]
  3. [math]y = 1/2x^2[/math]
  4. [math]y=-1/2x^2[/math]
Grade 9 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3b
Complete the square to find the minimum or maximum value.
[math]x^2-7x+14[/math]
  1. [math]7/4[/math]
  2. [math]21/2[/math]
  3. [math]-7/2[/math]
  4. [math]10[/math]
Grade 9 Quadratic Equations and Expressions
Which of the following is NOT a quadratic equation?
  1. [math]x^2 - 4 = 0[/math]
  2. [math]-9 + x^2 = 0[/math]
  3. [math]-7x + 12 = 0[/math]
  4. [math]-2 + 9x + x^2 = 0[/math]
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
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