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Tenth Grade (Grade 10) Quadratic Equations and Expressions Questions

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Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor.
x2-144
  1. (x+12)(x+12)
  2. (x+12)2
  3. (x-12)(x+12)
  4. (x-12)2
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve the quadratic equation. x2-1=0
  1. x=1
  2. x=2
  3. x=-1,1
  4. x=-2,2
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.7, HSF-IF.C.7a
If f(x) is a quadratic function, which has two distinct x-intercepts when graphed, which of the following is true?
  1. The x-value of the vertex is the average of the two x-intercepts.
  2. The y-value of the vertex will be greater than the value of either x-intercept.
  3. The vertex of the function will lie on the y-axis.
  4. The x-intercepts have no special relation to the vertex.
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Determine the correct factorization of 12x2+8x-15.
  1. (6x + 5)(2x - 3)
  2. (6x - 5)(2x + 3)
  3. (4x + 3)(3x - 5)
  4. (4x - 3)(3x + 5)
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor completely. x2+15x-54
  1. (x+9)(x-6)
  2. (x-18)(x+3)
  3. (x-9)(x+6)
  4. (x+18)(x-3)
  5. none of these are correct
Grade 10 Quadratic Equations and Expressions
What is the the axis of symmetry of the quadratic equation y=4x2+6x-12?
  1. x=-12
  2. x=12
  3. x=34
  4. x=-34
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor the polynomial 3v2-27v-30 completely.
  1. 3(v+1)(v+10)
  2. 3(v-1)(v-10)
  3. 3(v+1)(v-10)
  4. (v+1)(v-10)
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve the quadratic equation x2-256=0.
  1. x=-16
  2. x=16
  3. x=±16
  4. None of the above
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor. y2-36
  1. (y-6)(y-6)
  2. (y+6)(y-6)
  3. (y+6)(y+6)
  4. -(y+6)(y+6)
Grade 10 Quadratic Equations and Expressions
Which quadratic function has its vertex at (-3, 5) and opens down?
  1. y=(x-3)2+5
  2. y=-(x+3)2+5
  3. y=(x+3)2-5
  4. y=-(x-3)2+5
Grade 10 Quadratic Equations and Expressions
Which equation represents the parabola shown?
Graph - Quadratic Function y=-1/2x^2
  1. y=12x2
  2. y=-12x2
  3. y=2x2
  4. y=-2x2
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
b2+8b+7=0
  1. 1 and -7
  2. 1 and 8
  3. 1 and 7
  4. -1 and -7
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor: 9x2-13x-10
  1. (3x+5)(3x-2)
  2. (3x-2)(3x+5)
  3. (9x+5)(x-2)
  4. (9x+10)(x-1)
Grade 10 Quadratic Equations and Expressions CCSS: HSA-APR.A.1
Multiply: (6n-4)(4n+3)
  1. 12n2+18n-12
  2. 24n2-2n+12
  3. 24n2+2n-12
  4. 10n2-16n+12
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve the quadratic equation using the square root method -5x2+100=0.
  1. x=2√5
  2. x=±2√5
  3. x=-2√5
  4. None of the above
Grade 10 Quadratic Equations and Expressions CCSS: HSA-APR.A.1
Multiply: (4b+3)(b-12)
  1. 4b2-51b-36
  2. 4b2+51b+36
  3. 4b2-45b-36
  4. 5b2-45b-36
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