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Quadratic Equations and Expressions Questions - All Grades

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Grade 10 Quadratic Equations and Expressions CCSS: HSF-BF.B.3
The equation f(x)=5(x-2)2 is                       compared to the equation y=5x2.
  1. up 5 and over 2 units
  2. shifted down 2 units
  3. shifted up 2 units
  4. shifted right 2 units
Grade 11 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor the quadratic trinomial x2-10x+25.
  1. (x-5)(x-5)
  2. (x+5)(x+5)
  3. (x−5)(x+5)
  4. (x-5i)(x-5i)
Grade 11 Quadratic Equations and Expressions
Vertex form of a quadratic function is                                .
  1. y=mx+b
  2. y=a(x-h)2+k
  3. y=ax2+bx+c
  4. y=x2
Grade 11 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor the quadratic trinomial k2+28k+196.
  1. (k-14)(k-14)
  2. (k+14)(k+14)
  3. (k+14)(k-14)
  4. (k+14i)(k+14i)
Grade 11 Quadratic Equations and Expressions
The standard form of a quadratic equation is which of the following?
  1. y=mx+b
  2. y=ax2+bx+c
  3. y=a(x-h)2+k
  4. y=a(x-p)(x-q)
Grade 10 Quadratic Equations and Expressions
Find the a, b, and c for this quadratic equation: 49-121x2-170x=0.
  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 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve for x if x2-2x-35=0.
  1. -5 and 7
  2. -7 and 5
  3. 5 and 7
Grade 9 Quadratic Equations and Expressions
Which equation represents the graph of the parabola?
Graph - Quadratic Function y=1/2x^2
  1. y=12x
  2. y=-12x
  3. y=12x2
  4. y=-12x2
Grade 9 Quadratic Equations and Expressions
Which of the following is NOT a quadratic equation?
  1. x2-4=0
  2. -9+x2=0
  3. -7x+12=0
  4. -2+9x+x2=0
Grade 9 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3b
Complete the square to find the minimum or maximum value.
x2-7x+14
  1. 74
  2. 212
  3. -72
  4. 10
Grade 11 Quadratic Equations and Expressions
What is a, b, and c for this quadratic equation: x2+15x-61=0?
  1. a = 1, b = 15, and c = -61
  2. a = -61, b = 15, and c = 1
  3. a = 15, b = 1, and c = -61
  4. a = -61, b = 1, and c = 15
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve the quadratic equation x2+4=104.
  1. x=10
  2. x=±10
  3. x=-10
  4. None of the above
Grade 10 Quadratic Equations and Expressions
What is the y-intercept of the quadratic equation y=3x2+2x-5 ?
  1. (3,2)
  2. (0,-5)
  3. (0,5)
  4. (-3,-2)
Grade 10 Quadratic Equations and Expressions
Which is a factor of 2x2+7x-4?
  1. (2x-1)
  2. (2x+1)
  3. (x-4)
Grade 11 Quadratic Equations and Expressions
Factor the quadratic binomial 64m2-81n2.
  1. (8m-9n)(8m+9n)
  2. (8m+9n)(8m+9n)
  3. (8m-9n)(8m-9n)
  4. (8m-9ni)(8m+9ni)
Grade 9 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor:
x2-81
  1. (x+9)(x-9)
  2. (x+9)(x+9)
  3. (x-9)(x-9)
  4. Unfactorable
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4a
To solve x2+8x+16=25 by using the square root property, how should you first rewrite the equation?
  1. (x+4)2=25
  2. (x+4)2=5
  3. x2+8x-9=0
  4. x2+8x=9
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor 6x2+8x-8 to find the zeros of the function defined by this expression.
  1. x=3,-4
  2. x=-1,43
  3. x=-16,8
  4. x=-2,23
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor: b2-b-20
  1. (2b-5)(b+4)
  2. (b-5)(b+4)
  3. (b-10)(b+2)
  4. (b+5)(b-4)
Grade 11 Quadratic Equations and Expressions CCSS: HSA-APR.B.3
Find the zeros.
x2-25
  1. 5, 5
  2. 5, -5
  3. -5, -5
  4. No Factors
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