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Quadratic Equations and Expressions Questions - All Grades

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Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Given the quadratic function f(x)=-x2+6x-8, identify the maximum value.
  1. Maximum: 2
  2. Maximum: 1
  3. Maximum: 8
  4. Maximum: 16
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
What are the zeros of the function f(x)=x2+2x−15?
  1. Zeros:x=−3,5
  2. Zeros:x=−5,3
  3. Zeros:x=1,-15
  4. Zeros:x=−1,15
Grade 9 Quadratic Equations and Expressions
If s=-8,s2-3s=
  1. -88
  2. -40
  3. 40
  4. 88
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Convert the quadratic function f(x)=3x2+12x+7 into vertex form by completing the square, and find the vertex.
  1. Vertex: (2,5)
  2. Vertex: (-2,2)
  3. Vertex: (3,1)
  4. Vertex: (-2,-5)
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
For the quadratic function defined by the expression x2+x-2, find its zeros by factoring.
  1. x=-2,-1
  2. x=-1,2
  3. x=-2,1
  4. Cannot be factored.
Grade 9 Quadratic Equations and Expressions
Expand and simplify.
(x-5)(x+6)
  1. x2-1x+30
  2. x2+11x-30
  3. x2+x-30
  4. x2-11x-30
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor f(x)=4x2-16x+15, and find the zeros.
  1. Zeros:32,52
  2. Zeros:2,54
  3. Zeros:52,3
  4. Zeros:34,5
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
What are the zeros of the quadratic function defined by the expression 9x2-12x+4?
  1. -13,43
  2. -43,13
  3. x=23
  4. x=-23,23
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
What are the zeros of the function defined by the expression x2+4x-12?
  1. x=-4,3
  2. x=-3,4
  3. x=-2,6
  4. x=-6,2
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor the expression.
9x2+24x+16
  1. (x+4)(9x-1)
  2. (3x+16)(3x+1)
  3. (3x+4)2
  4. (3x+8)2
Grade 11 Quadratic Equations and Expressions
What is the simplified form of (3x3y-4)-2?
Exponent answers must have positive exponents in them.
  1. y86x-2
  2. 9y8x6
  3. y89x6
  4. y89x-6
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Convert the quadratic function f(x)=2x2+8x+6 into vertex form by completing the square, and find the vertex.
  1. Vertex: (−2,−2)
  2. Vertex: (−2,4)
  3. Vertex: (2,3)
  4. Vertex: (−4,1)
Grade 9 Quadratic Equations and Expressions CCSS: HSA-APR.A.1
Subtract. (7a2-3a)-(5a2-5a)
  1. 2a2-8a
  2. 2a2+2a
  3. 4
  4. 12a2-8a
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve for x if x2+2x+1=0.
  1. 1
  2. -1
  3. 2
Grade 10 Quadratic Equations and Expressions CCSS: HSF-BF.B.3
Which option best describes the transformations of the graph of the function y=2(x-1)2 from the parent function?
  1. Move up one and stretch vertically
  2. Move up one and compress vertically
  3. Move right one and stretch vertically
  4. Move down one and compress vertically
Grade 9 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor the expression.
x2-10x+16
  1. (x-8)(x-2)
  2. (x-4)(x-4)
  3. (x-8)(x+2)
  4. (x+8)(x-2)
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.7, HSF-IF.C.7a
When graphing a quadratic function there is always a y-intercept.
  1. True
  2. False
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Complete the square for f(x)=x2+6x+8 to find the vertex.
  1. Vertex: (−3,−1)
  2. Vertex: (3,−1)
  3. Vertex: (−3,1)
  4. Vertex: (3,1)
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