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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
Identify the vertex 3(x-2)2+3 .
  1. Vertex: (2, -3)
  2. Vertex: (2, 3)
  3. Vertex: (-2, -3)
  4. Vertex: (-2, 3)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor f(x)=x2+2x−3 and find the zeros.
  1. Zeros: -1,−3
  2. Zeros: -3, 1
  3. Zeros: 1, 3
  4. Zeros: 1,−2
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 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Rewrite f(x)=2x2−8x+7 in vertex form.
  1. 2(x−2)2+3
  2. 2(x+2)2+3
  3. 2(x−2)2-1
  4. 2(x+2)2-1
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Find the maximum value of f(x)=−2x2+8x−3
  1. 5
  2. 6
  3. 7
  4. 8
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 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
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 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 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Rewrite the quadratic function f(x)=3x2+6x+2 in vertex form.
  1. 3(x+1)2−1
  2. 3(x-1)2+1
  3. 3(x+2)2−1
  4. 3(x-2)2−2
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor the quadratic function f(x)=x2−9x+18 and find the zeros.
  1. x=3, 6
  2. x=-3,6
  3. x=6, 9
  4. x=-6, 3
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
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
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