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Twelfth Grade (Grade 12) Quadratic Equations Questions

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Grade 12 Quadratic Equations CCSS: HSF-LE.B.5
solve for x: (x-2)(2x=3)=0
  1. -.3
  2. -2,-2/3
  3. 2,-3/2
  4. 2,3/2
Grade 12 Quadratic Equations CCSS: HSA-REI.B.4
A factor of [math] 2x^2+7x-4 [/math] is:
  1. [math](2x-1)[/math]
  2. [math](2x+1)[/math]
  3. [math](x-4)[/math]
Grade 12 Quadratic Equations 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 12 Quadratic Equations
[math](2x-3)^2 =[/math]
  1. [math](4x^2-6)^2[/math]
  2. [math](4x^2-9)^2[/math]
  3. [math]4x^2-12x+9[/math]
Grade 12 Quadratic Equations CCSS: HSA-SSE.B.3a
Find the roots of [math]y=6x^2+3x-3[/math]
  1. .5 and 3
  2. 1.5 and 3
  3. 2 and 3
  4. .5 and -1
Grade 12 Quadratic Equations CCSS: HSA-SSE.B.3a
Find the roots of [math]y=-1/2(2x-2)(x+4)[/math]
  1. -1 and 2
  2. -2 and 4
  3. 1 and -4
  4. 1 and 4
Grade 12 Quadratic Equations CCSS: HSG-GPE.A.2
What is the equation of a parabola with the focus at [math](-5,2)[/math] and directrix of [math]y=0[/math]?
  1. [math](x+5)^2/4+1=y[/math]
  2. [math](x+5)^2-1=4y[/math]
  3. [math](x+5)^2=(y-1)[/math]
  4. [math](x+5)^2=4y[/math]
Grade 12 Quadratic Equations CCSS: HSF-IF.C.7a
If [math]x^2+11x-1=0[/math] then x=
  1. [math](11+-(125)^(1/2))/2[/math]
  2. [math](-11+-(125)^(1/2))/2[/math]
  3. [math](-11+-(25)^(1/2))/2[/math]
Grade 12 Quadratic Equations CCSS: HSG-GPE.A.2
What is the equation of a parabola with the focus at [math](2,-2)[/math] and directrix of [math]y=-6[/math]?
  1. [math](x+2)^2=32(y-4)[/math]
  2. [math]8(x-2)^2=y+4[/math]
  3. [math] (x-2)^2=4(y+4) [/math]
  4. [math](x-2)^2=8y+32[/math]
Grade 12 Quadratic Equations CCSS: HSG-GPE.A.2
What is the equation of a parabola with the focus at [math](6,-1)[/math] and directrix of [math]y=-3[/math]?
  1. [math](x-6)^2=4(y+2)[/math]
  2. [math](x-6)^2=-4(y-2)[/math]
  3. [math](x+6)^2=4(y-2)[/math]
  4. [math](x-6)^2=12(y+2)[/math]
Grade 12 Quadratic Equations CCSS: HSA-SSE.B.3a
Find the roots of [math]y=-x^2-13x-42[/math]
  1. -7 and -6
  2. 6 and 7
  3. 29 and 13
  4. 9 and 4
Grade 12 Quadratic Equations CCSS: HSG-GPE.A.2
What is the equation of a parabola with the focus at [math](3,-2)[/math] and directrix of [math]y=-10[/math]?
  1. [math](x+3)^2=16(y-6)[/math]
  2. [math](x-3)^2=16(y+6)[/math]
  3. [math](x-3)^2=4(y+10)[/math]
  4. [math](x-3)^2=-40(y+6)[/math]
Grade 12 Quadratic Equations CCSS: HSA-SSE.B.3a
Find the roots of [math]y=1/4(3x+12)(2x-5)[/math]
  1. -.25 and 5
  2. -3 and 4
  3. 4 and -2.5
  4. -4 and 2.5
Grade 12 Quadratic Equations CCSS: HSG-GPE.A.2
What is the equation of a parabola with the focus at [math](-1,18)[/math] and directrix of [math]y=12[/math]?
  1. [math](x-1)^2=12(y+15)[/math]
  2. [math]((x+1)^2)/12=y-15[/math]
  3. [math](x+1)^2+18=12y[/math]
  4. [math](x+1)^2=4(y-15)[/math]
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