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Tenth Grade (Grade 10) Quadratic Equations and Expressions Questions

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Grade 10 Quadratic Equations and Expressions
Find the solution of the following: [math]x^2 + 5 = 32[/math].
  1. [math]+-9sqrt6[/math]
  2. [math]+-3sqrt3[/math]
  3. [math]+-sqrt32[/math]
  4. [math]+-3sqrt6[/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 CCSS: HSA-REI.B.4
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 10 Quadratic Equations and Expressions CCSS: HSA-REI.D.10
Grade 10 Quadratic Equations and Expressions CCSS: HSA-CED.A.4
Solve for [math]r[/math].

[math]a=v^2/r[/math]
  1. [math]r=a/v^2[/math]
  2. [math]r=v^2a[/math]
  3. [math]r=v^2/a[/math]
  4. [math]r=sqrt(v)/a[/math]
Grade 10 Quadratic Equations and Expressions 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 10 Quadratic Equations and Expressions 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 10 Quadratic Equations and Expressions
[math]x^2+13x+36=0[/math]
  1. [math]x = -9 and x = -4[/math]
  2. [math]x = 9 and x = 4[/math]
  3. [math]x = 9/4 and x = 4/9[/math]
  4. [math]x = -9/4 and x = -4/9[/math]
Grade 10 Quadratic Equations and Expressions
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 10 Quadratic Equations and Expressions 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 10 Quadratic Equations and Expressions CCSS: HSA-CED.A.4
Solve for [math]a[/math].

[math]a^2+b^2=c^2[/math]
  1. [math]a=+-sqrt(c^2/b^2)[/math]
  2. [math]a=+-sqrt(b^2-c^2)[/math]
  3. [math]a=+-sqrt(c^2+b^2)[/math]
  4. [math]a=+-sqrt(c^2-b^2)[/math]
Grade 10 Quadratic Equations and Expressions 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 10 Quadratic Equations and Expressions CCSS: HSA-CED.A.4
Solve for [math]a[/math].

[math]v^2=2a(s-s_0)+v_0^2[/math]
  1. [math]a=(v^2-v_0^2)/(2(s-s_0)[/math]
  2. [math]a=(2(s-s_0)/(v^2-v_0^2)) [/math]
  3. [math]a=(v^2+v_0^2)/(2(s+s_0)[/math]
  4. [math]a=2(v^2-v_0^2)/((s-s_0)[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-CED.A.4
Solve for [math]v[/math].

[math]E=1/2mv^2[/math]
  1. [math]v=+-sqrt((2)/Em)[/math]
  2. [math]v=+-sqrt((2E)/m)[/math]
  3. [math]v=((2E)/m)^2[/math]
  4. [math]v=+-sqrt((E)/(2m))[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSF-BF.B.3
Grade 10 Quadratic Equations and Expressions CCSS: HSF-BF.B.3
Grade 10 Quadratic Equations and Expressions 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 10 Quadratic Equations and Expressions
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]
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