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Quadratic Expressions and Equations Review #2 (Grade 10)

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Quadratic Expressions and Equations Review #2

1. 
The vertex of a parabola is
  1. either the maximum or minimum point.
  2. the point where x is zero or y is zero.
  3. the only point where y is known.
  4. line which divides the parabola into equal parts.
2. 
Which equation represents the parabola shown below?
Graph - Quadratic Function y=-1/2x^2
  1. [math]y=1/2 x^2[/math]
  2. [math]y=-1/2 x^2[/math]
  3. [math]y=2x^2[/math]
  4. [math]y=-2x^2[/math]
3. 
How many real solutions does the following equation have?
[math]3x^2 +6x -3=0[/math]






4. 
Find the discriminant and how many roots plus the type of roots for the following equation:
[math]3x^2 + 7x - 17 = 0[/math]
  1. 253, 2 rational roots
  2. 253, 2 irrational roots
  3. -155, 2 complex roots
  4. 0, 1 rational root
5. 
Which equation does have a real number solution?
  1. [math]x^2 + 5x + 7 = 0[/math]
  2. [math]x^2 + 7x + 11 = 0[/math]
  3. [math]2x^2 + 8x + 9 = 0[/math]
  4. [math]3x^2 + 3x + 4 = 0[/math]
6. 
What is the vertex of the following equation? Also, is this a minimum or maximum?
[math] y = 3x^2 + 24x + 57 [/math]
  1. [math](-4,9)[/math], minimum
  2. [math](4,9)[/math], maximum
  3. [math](0,57)[/math], minimum
  4. [math](-12,87)[/math], minimum
7. 
What is the x-coordinate of the vertex of the graph of [math]y = -2x^2 - x +8?[/math]
  1. [math]-1[/math]
  2. [math]-(1/4)[/math]
  3. [math](1/4)[/math]
  4. [math](1/2)[/math]
8. 
What is the equation of the axis of symmetry of the parabola given by the equation [math]y = 6(x + 1)(x - 5)[/math]?
  1. y = 6
  2. y = -2
  3. x = 2
  4. x = -2
9. 
What are the roots of the following equation?
[math]y= (x-7)(x+3)[/math]
  1. -7 and 3
  2. -21
  3. 21
  4. 7 and -3
10. 
Which is a factor of [math]x^2 - 11x +24[/math]?
  1. x + 3
  2. x - 3
  3. x + 4
  4. x - 4
11. 
Factor.
[math]x^2-144[/math]






12. 
Factor completely [math]5x^2+20x+15[/math]






13. 
Solve for x: [math](x - 2)(2x + 3) = 0[/math]
  1. -.3
  2. -2, -2/3
  3. 2, -3/2
  4. 2, 3/2
14. 
Solve. [math]x^2-3x=28[/math]
  1. -4, 7
  2. -14, 2
  3. -7, 4
  4. -2, 14
15. 
Solve by using the quadratic formula.
[math]2x^2 + 5x + 2 = 0[/math]






16. 
Which function has a y-intercept of 4?
  1. [math]y = 2x^2 + 1[/math]
  2. [math]y = 2x^2 + 4x[/math]
  3. [math]y = 2x^2 - 4[/math]
  4. [math]y = 2x^2 + 4[/math]
17. 
Given the quadratic function:

[math] y = 2x^2 -11x + 12 [/math]

Use the quadratic formula to find the x-intercepts of the function.






18. 
Graph the following equation. Label the axis of symmetry, vertex, and roots (if applicable).
[math] y = -x^2 + 4x + 5 [/math]
Graph 10x10






19. 
Graph the following equation. Label the axis of symmetry, the vertex, and the roots (if applicable).
[math]y =x^2-2x-8[/math]
Graph 10x10






20. 
[math]x^2 -kx + k=1[/math] This equation has
  1. 2 solutions.
  2. 1 solution.
  3. no solutions.
  4. 2 or 1 solution.

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