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Eleventh Grade (Grade 11) Quadratic Equations and Expressions Questions

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Grade 11 Quadratic Equations and Expressions CCSS: HSN-CN.C.7, HSA-REI.B.4, HSA-REI.B.4b
Solve the quadratic equation: (x-5)2=-100. What are the two solutions for the quadratic equation?
  1. x=5orx=-5
  2. x=10iorx=-10i
  3. x=-5+10iorx=-5-10i
  4. x=5+10iorx=5-10i
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b
What is the a, b, and c for this quadratic equation 0=-100x+250+300x2 ?
  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: HSF-IF.C.8, HSF-IF.C.8a
Complete the square and find the vertex of the function f(x)=x2+4x−5.
  1. (−2,−9)
  2. (2,−1)
  3. (−2,−1)
  4. (2, 9)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor f(x)=x2−5x+6and find the zeros.
  1. x=1,6
  2. x=2,3
  3. x=3,4
  4. x=-2,5
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Find the zeros of f(x)=x2+7x+12 by factoring.
  1. x=3,−4
  2. x=3, 4
  3. x=4,−3
  4. x=-3,−4
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Complete the square to convert f(x)=x2+4x+1 into vertex form, and find the vertex.
  1. Vertex: (−2,−3)
  2. Vertex: (2,−3)
  3. Vertex: (−2,3)
  4. Vertex: (0,1)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor f(x)=x2+10x+25 and find the zeros.
  1. x=0,5
  2. x= 5
  3. x=-5,0
  4. x= -5
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Convert the quadratic function f(x)=x2+10x+24 into vertex form, and find the minimum value.
  1. Minimum value: −4
  2. Minimum value: 1
  3. Minimum value: −1
  4. Minimum value: −1.5
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Rewrite f(x)=x2−6x+5 in vertex form.
  1. (x−3)2−4
  2. (x−3)2−3
  3. (x−2)2+5
  4. (x−1)2+3
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Find the zeros of f(x)=2x2−8x+6 by factoring.
  1. x=-1,2
  2. x= 1,3
  3. x=-2,6
  4. x=-2,3
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Complete the square for f(x)=x2+6x+5 and find the vertex.
  1. (3,−4)
  2. (-3,−1)
  3. (-3,−4)
  4. (-3,−2)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Given f(x)=−x2+4x−3, identify the maximum value.
  1. Maximum value: 4
  2. Maximum value: 2
  3. Maximum value: 3
  4. Maximum value: 1
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Complete the square for f(x)=3x2+6x+4and identify the vertex.
  1. (−1,−1)
  2. (1,−5)
  3. (−1,1)
  4. (−1,-2)
Grade 11 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor the quadratic trinomial 169d2-121.
  1. (13d−11)(13d-11)
  2. (13d−11i)(13d+11i)
  3. (13d+11)(13d+11)
  4. (13d−11)(13d+11)
Grade 11 Quadratic Equations and Expressions
Complete the square for the expression.
x2+10x
  1. (x+5)2-25
  2. (x-5)2-25
  3. (x+10)2+25
  4. (x-10)2+25
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b, HSF-IF.C.8, HSF-IF.C.8a
What are the roots of the equation y=-x2+120?
  1. ±√120
  2. √60
  3. √120
  4. ±√60
Grade 11 Quadratic Equations and Expressions CCSS: HSA-APR.B.3
Find the zeros.
6x2+11x-10
  1. -7,-3
  2. -25,32
  3. -52,23
  4. 3,7
Grade 11 Quadratic Equations and Expressions CCSS: HSA-APR.B.3
Find the zeros.
x2-2x-63
  1. -9, -7
  2. -9, 7
  3. 9, -7
  4. 9, 7
Grade 11 Quadratic Equations and Expressions CCSS: HSF-LE.A.2
Which equation could describe this graph?
  1. y=(x-1)(x-8)
  2. y=(x-4)(x+2)
  3. y=(x-2)(x+4)
  4. y=(x+1)(x+8.5)
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