Honors Algebra 2 Unit 3 Test Review



Algebra 2 Unit 3 Test Review

For #1 and #2:

• Graph the given quadratic and provide at least 3 points on the graph.

• LIST the VERTEX, AXIS OF SYMMETRY, MAX/MIN value, and Y-INTERCEPT.

1. [pic] 2. [pic]

For #3 and 4: Identify the a, b, and c values.

• Calculate the values of the y-intercept, axis of symmetry, and vertex.

3. [pic]

a = _______ b = _______ c = _______

y – Intercept: ______________

Axis of Symmetry: _______________

Vertex: ___________________

4. [pic]

a = _______ b = _______ c = _______

y – Intercept: ______________

Axis of Symmetry: _______________

Vertex: ___________________

For #4 – 15: Write a quadratic equation in the standard form [pic]with integer coefficients based on the given roots.

4. –6 and 2

5. -1/3 and 5

6. 3/2 and -2/9

7. 8 and – 7

8. 3/5 and 6

9. - 2/5 and -1/7

Solving for roots by factoring:

10. [pic]

11. [pic]

12. [pic]

13. x2 + 2x – 35 = 0

Solving for roots by Quadratic Formula:

14. [pic]

15. [pic]

16. [pic]

17. [pic]

# 18 – 20: Write each of the following in standard form, y = ax2 + bx + c

• Identify the vertex for the equation.

• What is the axis of symmetry?

• What is direction does the parabola open?

• 18. [pic]

19. [pic]

20. [pic]

# 20 – 23: Write each of the following in vertex form, y = a(x – h)2 + k

• What is the a-value of the equation?

• What is the vertex of the quadratic?

• Write the vertex form equation of a vertical parabola y = a

• Identify the vertex, axis of symmetry, and direction the parabola will open.

20. 4x2 + 5x – 11 = y

21. y = 2x2 + 3x – 7

22. y = x2 – 6x + 2

23. y = -x2 + 5x – 2

Write the vertex form equation of a vertical parabola a given vertex and an additional point.

24. vertex of (- 3, 7) that passes through (4, -3).

25. vertex of (2, 4) that passes through (0, 16).

26. vertex of (-1, -5) that passes through (-5, 3).

SIMPLIFY each expression completely

27. i51

28. (7 + 9i) – (5 – 2i) + (3i2 + 1)

29. (-3i2)(5i)

30. 3(4 – 5i) + 6(2i + 3)

31. [pic]

32. [pic]

33. The height of a rocket shot into the air is modeled by the equation [pic], where h is the height in meters of the rocket after t seconds.

a. Find the maximum height of the rocket and when it occurs.

b. When does the rocket return to the earth?

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