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Common Core Standard HSA-REI.B.4b Questions

Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.

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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 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Find the roots of [math]x^2 - 5x - 6 = 0.[/math]
  1. -1, 6
  2. -3, 2
  3. -6, 1
  4. -2, 3
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Find all solutions by factoring.

[math]4x^2 = 4x[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
[math](x+5)(x-5)-(x+2)^2=1-2x[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
(x + 6)(x + 5) = 0
  1. x = 6, 5
  2. x = -6, 5
  3. x = -6, -5
  4. x = 6, -5
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Which value of t is a solution of [math]2t^2 - 21 = 51?[/math]
  1. -6
  2. -4
  3. [math]sqrt15[/math]
  4. 4
Grade 10 Quadratic Equations and Expressions CCSS: HSN-CN.C.7, HSA-REI.B.4, HSA-REI.B.4b
Solve the quadratic equation using the quadratic formula.
[math]2x^2-6x + 5=0[/math]
  1. None of these
  2. [math]2, 1[/math]
  3. [math]3+-i[/math]
  4. [math](3+-i)/2[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve.
[math]x^2 + 4x +3=0[/math]
  1. [math]x=3,1[/math]
  2. [math]x=-3,-1[/math]
  3. [math]x=3[/math]
  4. [math]x=0[/math]
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
If [math]6x^2 = 3/32, x = [/math]
  1. [math]-1/2, 1/2[/math]
  2. [math]-1/4, 1/4[/math]
  3. [math]-1/8, 1/8[/math]
  4. [math]-1/16, 1/16[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Find the roots of [math]x^2 - 8x + 15 = 0.[/math]
  1. 3, 5
  2. -3, 5
  3. 3, -5
  4. -3, -5
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve the equation.

[math](4y+7)(2y+27)=0[/math]
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve for [math]x[/math] if [math]x^2 + 2x + 1 = 0[/math].
  1. 1
  2. -1
  3. 2
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
(x - 4)(x + 7) = 0
  1. x = 4, 7
  2. x = 4, -7
  3. x = -4, -7
  4. x = -4, 7
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve the quadratic equation [math]7x^2+1=29[/math].
  1. None of these answers.
  2. [math]x=2[/math]
  3. [math]x=-2[/math]
  4. [math]x=+-2[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve. [math]x^2 + 2x -8=0[/math]
  1. [math]x= 4,-2[/math]
  2. [math]x= 8,1[/math]
  3. [math]x= 8,-1[/math]
  4. [math]x= -4,2[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve: [math]p(2p - 13) = 0[/math]
  1. [math]p = 0[/math]
  2. [math]p = 6.5[/math]
  3. [math]p = 0 or p = 6.5[/math]
  4. [math]p = -6.5[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
[math]6x^2 = 3/32[/math]
  1. [math]+-1/2[/math]
  2. [math]+-1/4[/math]
  3. [math]+-1/8[/math]
  4. [math]+-1/16[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
What is the solution set of [math]x^2 - 36 = 0[/math]?
  1. {6}
  2. {9}
  3. {-6, 6}
  4. {-9, 9}
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