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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 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
(3x-2)(x-6)=0
  1. x=23,6
  2. x=-23,6
  3. x=-23,-6
  4. x=23,-6
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Use the Quadratic Formula to solve.
8x2+2x-1=0
  1. 14,-12
  2. 14,12
  3. -14,-12
  4. -14,12
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Which equation has roots at -6 and 15 ?
  1. 0=5x2-29x-6
  2. 0=5x2+31x+6
  3. 0=5x2+29x-6
  4. 0=5x2-31x+6
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve:

y2+2y+1=0
  1. y=3
  2. y=0
  3. y=-1
  4. y=1
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
x2-10=15
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
x2+3x-4=0
Grade 11 Functions and Relations CCSS: HSA-REI.B.4, HSA-REI.B.4b
4x2+9x+5=0
  1. x=45andx=1
  2. x=-54andx=-1
  3. x=5andx=4
  4. x=-5andx=-4
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve for x. Check your work.
x2+3x-4=0
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
(4x+5)(3x-7)=0
  1. x=54,73
  2. x=-54,-74
  3. x=-54,73
  4. x=54,-73
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve by factoring or by using the Quadratic Formula.
x2+45x+200=0
  1. x=-5,-40
  2. x=5,40
  3. x=-100,-2
  4. x=2,100
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Determine the solution set for the following polynomial. x2-7x+12=0
  1. {7,12}
  2. {2,6}
  3. {3,4}
  4. {1,12}
  5. none of these are correct
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve using the quadratic formula.
4x2=9
  1. x=±32
  2. x=23
  3. x=±23
  4. x=-32
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
2x2+5x-4=0
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
x2+13x+36=0
  1. x=-9andx=-4
  2. x=9andx=4
  3. x=94andx=49
  4. x=-94andx=-49
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve for x. Check your work.
x2+13x+20=-22
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 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve by factoring or the Quadratic Formula.
x2–6x+9=0
  1. x=-3
  2. x=3
  3. x=-3,3
  4. x=0
Grade 11 Complex Numbers CCSS: HSN-CN.C.7, HSA-REI.B.4, HSA-REI.B.4b
Solve: x2+64=0
  1. x=-64,64
  2. x=-8i,8i
  3. x=-64i,64i
  4. x=-8,8
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve for x: 4x2+4=20
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