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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
Rewrite the quadratic function f(x)=2x2+8x+5 in vertex form.
  1. 2(x+2)2+1
  2. 2(x-2)2-1
  3. 2(x+2)2-3
  4. 2(x-2)2+3
Grade 9 Quadratic Equations and Expressions
Which equation represents the graph?
Graph - Quadratic Function y=2x^2
  1. y=x
  2. y=x2
  3. y=-x
  4. y=-x2
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve the equation x2-2x-35=0.
  1. x=-7 and x=5
  2. x=-7 and x=-5
  3. x=7 and x=-5
  4. x=7 and x=5
Grade 11 Quadratic Equations and Expressions
The lowest or highest point on a parabola is the                 .
  1. vertex
  2. slope
  3. axis of symmetry
  4. y-axis
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Find the zeros of the function defined by the expression 3x2-14x+8.
  1. x=23,4
  2. x=2,4
  3. x=1,8
  4. x=2,43
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
What are the solutions for the quadratic equation x2+6x=16?
  1. x = -2, -8
  2. x = -2, 8
  3. x = 2, -8
  4. x = 2, 8
Grade 11 Quadratic Equations and Expressions
The graph of a quadratic function is a/an                .
  1. straight line
  2. ellipse
  3. hyperbola
  4. parabola
Grade 10 Quadratic Equations and Expressions
Expand. (4x-5)(x+1)
  1. 5x2-x-5
  2. 4x2-x-5
  3. 4x2+x-5
  4. 4x2-x-4
Grade 10 Quadratic Equations and Expressions
Expand. (2x+4)(2-x)
  1. 8-2x2
  2. 8+2x2
  3. 12-x2
  4. 12-2x2
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor the quadratic function f(x)=2x2−8x+6 and find the vertex.
  1. Vertex: (2,2)
  2. Vertex: (-1,-4)
  3. Vertex: (1,-2)
  4. Vertex: (2,-2)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor f(x)=x2−5x+6, and find the zeros.
  1. Zeros: 2,3
  2. Zeros: -2,3
  3. Zeros: 1,6
  4. Zeros: 2,-3
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Rewrite the quadratic function f(x)=x2+4x+1in vertex form.
  1. (x+2)2+3
  2. (x-2)2-3
  3. (x+2)2-3
  4. (x-2)2+3
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Given f(x)=3x2−12x+9, factor the quadratic function and find the zeros.
  1. Zeros: 1,-3
  2. Zeros: 1,3
  3. Zeros: 2, 1
  4. Zeros: 3,2
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Given f(x)=2x2-8x+6, factor the quadratic function and find the zeros.
  1. Zeros: 2, 3
  2. Zeros: 1, 3
  3. Zeros: 1, 2
  4. Zeros: -1, 3
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor f(x)=x2+7x+10 and find the zeros.
  1. Zeros:5,-2
  2. Zeros:-10,-7
  3. Zeros:-5,-2
  4. Zeros:-7,-5
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.
  1. 2(x−2)2−2
  2. 2(x−4)2+1
  3. (x−2)2+3
  4. 2(x+2)2−3
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Convert the quadratic function f(x)=x2-10x+25 into vertex form and identify the vertex.
  1. Vertex:(-5,0)
  2. Vertex:(-5,25)
  3. Vertex:(5,25)
  4. Vertex:(5,0)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor f(x)=x2−6x+8 then find the zeros.
  1. Zeros:x=2,4
  2. Zeros:x=4,4
  3. Zeros:x=2,3
  4. Zeros:x=-2,-4
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Find the solution of the following equation.

x2-3x-40=0
  1. x = -5, -8
  2. x = -5, 8
  3. x = 5, -8
  4. x = 5, 8
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