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Tenth Grade (Grade 10) Quadratic Equations and Expressions Questions

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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-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
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-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
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
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
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: HSF-BF.B.3
Grade 10 Quadratic Equations and Expressions
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
Grade 10 Quadratic Equations and Expressions CCSS: HSF-BF.B.3
Grade 10 Quadratic Equations and Expressions
Determine the correct factorization of [math]12x^2 + 8x -15.[/math]
  1. (6x + 5)(2x - 3)
  2. (6x - 5)(2x + 3)
  3. (4x + 3)(3x - 5)
  4. (4x - 3)(3x + 5)
Grade 10 Quadratic Equations and Expressions CCSS: HSF-BF.B.3
Grade 10 Quadratic Equations and Expressions
Grade 10 Quadratic Equations and Expressions
The solutions of [math]x^2 + 6x +10 = 0[/math] are the following:
  1. x = -4, x = -22
  2. x = 2, x = 4
  3. [math]- 3 +- i[/math]
  4. [math]3 +- i[/math]
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