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Algebra 2 Final Review

Algebra 2 Final Review. Quadratics. 1. Comparing the graph of y = -3x 2 + 4x - 1 / 2 to its parent function, it: opens down and is wider than the parent function graph. opens down and is narrower than the parent function graph. opens up and is wider than the parent function graph.

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Algebra 2 Final Review

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  1. Algebra 2 Final Review Quadratics

  2. 1. Comparing the graph of y = -3x2 + 4x -1/2 to its parent function, it: • opens down and is wider than the parent function graph. • opens down and is narrower than the parent function graph. • opens up and is wider than the parent function graph. • opens up and is narrower than the parent function graph.

  3. What is the equation of the axis of symmetry of y = 2x2 + 12x – 5? A. X = -4 B. X = -3 c. X = 3 D. X = 4

  4. 3. What are the coordinates of the vertex of y = 2x2 + 12x – 5? • (-4 , -21) • (-3 , -23) • (3 , 49) • (4 , 75)

  5. 4. Which graph (to the right) has only one zero? • A B C D

  6. 5. Which of the following is a step in solving y = 2x2 + 7x +6 by the Factoring Method? • 2x + 3 = 0 or x + 2 = 0 • 2x + 2 = 0 or x + 3 = 0 • 2x + 1 = 0 or x + 6 = 0 • 2x + 6 = 0 or x +1 = 0

  7. 6. The solution to (x + 9)2 = 25 is • -5 and 5 • -4 and 4 • -8 and 2 • -4 and -14

  8. 7. What value goes in the blank to complete the square: x2 - 12x + ___? • -144 • -36 • 36 • 144

  9. 8. What is the discriminant of 2x2 + 6x + 4 = 0? • 2 • 4 • 32 • 68

  10. 9. How many real zeros does an equation have if the discriminant is 7? • 0 • 1 • 2 • Not enough information

  11. 10. Solve 3x2 - 5x + 1 =0

  12. 11. Simplify • -6 and -2 • -3 and -1 • -4 and 0 • -1 and 0

  13. 12. Given the height of a rocket as h = -16t2 + 160t + 384, the class was asked when the rocket hits the ground. Kim solved to find the zeros t = -2 and t = 6. Assuming the calculations were correct, what should the answer to teacher’s question be? • Both -2 and 6 since the calculations were correct • 6 only since it has to be a positive • -2 since the sign needs to be changed • Neither, since the rocket will not hit the ground

  14. 13. Solve 2x2 + 7x + 6 = 0 • -2 and -1.5 • 2 and -1.5 • -2 • 2

  15. 14. Which correctly shows the quadratic in vertex form?

  16. 15. Where is the vertex of • (3,12) • (-3,18) • (-3,12) • (3,-18)

  17. 16. What value goes in the blank to complete the perfect square trinomial: x2 + __x + 16?

  18. 17. A square has its length increased by 6 feet and its width decreased by 4 feet; the resulting area is 96 square feet. What was the area of the original square?

  19. 18. Solve (2x+5)(x+4)=0

  20. 19. Solve the following quadratics using the method of your choice:

  21. A rectangle has a length 10 more than its width. If the width is increased by 8 and the length by 4, the resulting rectangle has an area of 135 square units. • What is the length of the original rectangle? • What is the perimeter of the expanded rectangle?

  22. 21. Two boats leave the same dock at the same time. One boat travels South, and the other travels East. After 3 hours, the boat traveling South had traveled 13 more miles than the other. At this time, the boats were 77 miles apart. How far did each boat travel?

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