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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 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b
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, c =-170
  3. a=-121,b=49, c=-170
  4. a =-121, b = -170, and c =49
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b
What is a, b, and c for this quadratic equation: [math]x^2+15x-61=0[/math].
  1. a = 1, b = 15, and c =-61
  2. a = -61, b = 15, and c = 1
  3. a =15, b=1, c = -61
  4. a =-61, b = 1, and c =15
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b
Solve the quadratic equation: [math](x-5)^2=-100[/math]. What are the two solutions for the quadratic equation?
  1. [math]x=5 or x=-5[/math]
  2. [math]x=10i or x=-10i[/math]
  3. [math]x=-5+10i or x=-5-10i[/math]
  4. [math]x=5+10i or x=5-10i[/math]
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b
What is the a, b, and c for this quadratic equation [math]0 = -100x+250+300x^2[/math].
  1. a=-100 b=300, c = 250
  2. a=300 b= 250, c = -100
  3. a =300, b=-100, c = 250
  4. a=250, b=-100, c = 300
Grade 11 Quadratic Equations and Expressions CCSS: 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 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b
Simplify the quadratic equation using the square root method [math]-5x^2+100=0[/math]
  1. [math]x=2sqrt 5[/math]
  2. [math]x=+-2sqrt5[/math]
  3. [math]-2sqrt5[/math]
  4. None of the above
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b
Solve the quadratic equation using the square root method: [math]-6x^2=-600[/math]. What are the two solutions for the quadratic equation?
  1. [math]x=10 or x=10[/math]
  2. [math]x=-10 or x=-10[/math]
  3. [math]x=10i or x=-10i[/math]
  4. [math]x=10 or x=-10[/math]
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b
Solve the quadratic equation: [math]x^2 - 324 =0[/math]. What are the two solutions for the quadratic equation?
  1. [math]x =18 or x =-18[/math]
  2. [math]x =18 or x =18[/math]
  3. [math]x =18i or x =-18i[/math]
  4. [math]x =-18 or x=-18[/math]
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b
Solve the quadratic equation: [math]x^2=-1225[/math]. What are the two solutions for the quadratic equation?
  1. [math]x=-35i or x=-35i[/math]
  2. [math]x=35i or x=-35i[/math]
  3. [math]x=35 or x=-35[/math]
  4. [math]x=35i or x=35i[/math]
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b
Solve the quadratic equation using the square root method: [math]4x^2 +100=0[/math]. What are the two solutions for the quadratic equation?
  1. [math]x=5 or x=-5[/math]
  2. [math]x=5i or x=-5i[/math]
  3. [math]x=5i or x=5i[/math]
  4. [math]x=-5 or x=-5[/math]
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b
Solve the quadratic equation: [math]7x^2+1=29[/math]. What are the two solutions for the quadratic equation?
  1. [math]x=2 or x=-2[/math]
  2. [math]x=2i or x=-2i[/math]
  3. [math]x=-2 or x=-2[/math]
  4. [math]x=2i or x=2i[/math]
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b
Solve the quadratic equation [math]x^2-256=0[/math].
  1. [math]x=+-16[/math]
  2. [math]x=16[/math]
  3. [math]x=-16[/math]
  4. None of the above
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b
Simplify the quadratic equation using the square root method [math]x^2=1225[/math]
  1. [math]x=35[/math]
  2. [math]x+-35[/math]
  3. [math]x=-35[/math]
  4. Nove of the above
Grade 11 Quadratic Equations and Expressions CCSS: 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 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b
What are the x-intercepts of the graph of [math]-x^2 +3x - 2 = 0[/math]
  1. x = -1, x = -2
  2. x = 1, x = 2
  3. x = 1, x = -2
  4. x = -1, x = 2
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b
Solve the equation: [math]m^2 - 25=0[/math].
  1. [math]x = 5[/math]
  2. [math]x = -5[/math]
  3. [math] x = +- 5[/math]
  4. [math]x = +- 12.5[/math]
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b
Solve the quadratic equation: [math]x^2 - 324 =0[/math]. What are the two solutions for the quadratic equation.
  1. [math]x =18 or x =-18[/math]
  2. [math]x =18 or x =18[/math]
  3. [math]x =18i or x =-18i[/math]
  4. [math]x =-18 or x=-18[/math]
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b
Solve the quadratic equation using the square root method:[math]x^2+1600=0[/math]. What are the two solutions for the quadratic equation?
  1. [math]x=40 or x=-40[/math]
  2. [math]x=40i or x=40i[/math]
  3. [math]x=40i or x=-40i[/math]
  4. [math]x=-40 or x=-40[/math]
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b
Solve the quadratic equation [math]x^2-256=0[/math].
  1. [math]x=-16[/math]
  2. [math]x=16[/math]
  3. [math]x=+-16[/math]
  4. None of the above
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