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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-SSE.B.3, HSA-SSE.B.3a
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
Find the a, b, and c for this quadratic equation.
[math]-6x^2-12=0[/math]
  1. [math]a=-6, b =0, and c=-12[/math]
  2. [math]a=6, b = 0, and c= 12[/math]
  3. [math]a=0, b= 12, and c =-6[/math]
  4. [math]a= -12, b=-6, and c= 0[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
What are the roots of the equation?
[math]x^2-5x+6=0[/math]
  1. 2, 3
  2. 3, -2
  3. -2, -3
  4. 2, -3
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Which is the correct factorization of [math]x^2 - 6x -27?[/math]
  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 CCSS: HSA-REI.B.4, HSA-REI.B.4b
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 CCSS: HSA-REI.B.4, HSA-REI.B.4b
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: HSA-REI.B.4
Expand. [math](2x + 4 )(2-x)[/math]
  1. [math]8 - 2x^2[/math]
  2. [math]12 - 2x^2[/math]
  3. [math]8x - 2x^2[/math]
  4. [math]8 + 2x^2[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSN-CN.C.7, HSA-REI.B.4, HSA-REI.B.4b
The solutions of [math]x^2 + 6x +10 = 0[/math] are which of the following?
  1. [math]x = -4, x = -22[/math]
  2. [math]x = 2, x = 4[/math]
  3. [math]x = - 3 +- i[/math]
  4. [math]x = 3 +- i[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve for x. [math](x - 2)(2x + 3) = 0[/math]
  1. -.3
  2. -2, -2/3
  3. 2, -3/2
  4. 2, 3/2
Grade 10 Quadratic Equations and Expressions CCSS: HSF-BF.B.3
The equation [math]f(x)=5x^2[/math] is                       compared to the equation [math]y=5x^2+8[/math].
  1. stretched vertically
  2. shifted down 8 units
  3. shifted up 8 units
  4. shifted right 8 units
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
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: HSF-BF.B.3
The equation [math]f(x)=5(x-2)^2[/math] is                       compared to the equation [math]y=5x^2[/math].
  1. up 5 and over 2 units
  2. shifted down 2 units
  3. shifted up 2 units
  4. shifted right 2 units
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3b
Which shows the quadratic expression [math]-x^2 +4x -3[/math] written in the form [math]k-a(x-h)^2 [/math]?
  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
Find the a, b, and c for this quadratic equation: [math]49-121x^2-170x=0[/math].
  1. a = -170, b = -121. and c = 49
  2. a = 49, b = -121, and c = -170
  3. a = -121, b = 49, and c = -170
  4. a = -121, b = -170, and c = 49
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
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 CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve the quadratic equation [math]x^2+4=104[/math].
  1. [math]x=10[/math]
  2. [math]x=+-10[/math]
  3. [math]x=-10[/math]
  4. None of the above
Grade 10 Quadratic Equations and Expressions
Which is a factor of [math] 2x^2+7x-4 [/math]?
  1. [math](2x-1)[/math]
  2. [math](2x+1)[/math]
  3. [math](x-4)[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4a
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?
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 y-intercept of the quadratic equation [math]y=3x^2+2x-5[/math] ?
  1. (3,2)
  2. (0,-5)
  3. (0,5)
  4. (-3,-2)
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