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Quadratic Equations and Expressions Questions - All Grades

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Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve for x.
x2+x=12
  1. 6, -2
  2. -3, -4
  3. -4, 3
  4. -2, 6
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor. 6x2-19x+10
  1. (3x-10)(2x+1)
  2. (6x-5)(x-2)
  3. (3x-5)(2x-2)
  4. (3x-2)(2x-5)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor the quadratic function f(x)=x2−3x−28, and find the zeros.
  1. Zeros: x=7,4
  2. Zeros: x=7,-4
  3. Zeros: x=-2,14
  4. Zeros: x=7,3
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
By factoring the expression 12x2+6x-6, find the zeros of the quadratic function this expression defines.
  1. x=-1,12
  2. x=-34,23
  3. x=-32,13
  4. x=-2,14
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
If x2-16 represents a quadratic function, what would the zeros of this function be? Use factoring to solve.
  1. x=4
  2. x=-4,4
  3. x=-4
  4. x=-2,8
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
What are the zeros of the quadratic function f(x)=x2−4x−5?
  1. x=1,−5
  2. x=1, 5
  3. x=-1,−5
  4. x=5,−1
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Given f(x)=x2−6x+9, factor the quadratic function and find the zeros.
  1. Zeros:1,3
  2. Zeros:3,-3
  3. Zeros:3
  4. Zeros:-3
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
What are the x-intercepts of the quadratic function f(x)=x2−6x+9?
  1. x=1
  2. x=3
  3. x=9
  4. x=6
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor the quadratic function f(x)=3x2−9x+6, and find the zeros.
  1. Zeros: x=1,3
  2. Zeros: x=−1,3
  3. Zeros: x=1,2
  4. Zeros: x=0,2
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Find the vertex of the quadratic function f(x)=−x2+4x+5
  1. (2,9)
  2. (-2,1)
  3. (2,5)
  4. (1,9)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
What is the vertex of the quadratic function f(x)=2(x+3)2−2?
  1. Vertex:(3,−2)
  2. Vertex:(−3,−7)
  3. Vertex:(−3,−2)
  4. Vertex:(−2,−3)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor the quadratic function f(x)=x2+6x+8, and find the zeros.
  1. Zeros: x=−2,−4
  2. Zeros: x=2,4
  3. Zeros: x=−1,−8
  4. Zeros: x=1,3
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
What are the x-intercepts of the quadratic function f(x)=x2−6x+9?
  1. x=1
  2. x=3
  3. x=6
  4. x=9
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Determine the zeros of the quadratic function f(x)=x2−16.
  1. Zeros:x=±4
  2. Zeros:x=±8
  3. Zeros:x=0,4
  4. Zeros:x=-4,16
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 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor and find the zeros of f(x)=x2−10x+25
  1. Zeros: x=0,5
  2. Zeros: x= 5
  3. Zeros: x=5,0
  4. Zeros: x=10, 25
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
Identify the vertex 3(x-2)2+3 .
  1. Vertex: (2, -3)
  2. Vertex: (2, 3)
  3. Vertex: (-2, -3)
  4. Vertex: (-2, 3)
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