1. Sample Problems for Class Review
Algebra 2

2. Use the quadratic formula to solve the following: y = x2 + 2x - 3
Answer:

3. Factor & solve the following expression: x2 – 9 = 0
Answer: x = -3 , x = 3

4. Graph the system: 2x + 3y – 6 ≤ 0 -2x + y + 4 < 0
Answer:

5. Factor the following expression: x6 - 1
Answer: (x - 1)(x2 + x + 1)(x + 1)(x2 – x + 1)

6. Graph the following quadratic function & label the vertex: y = -x2 – 2x + 3
Answer: (-1,4)

7. Factor the following expression: x8 – 13x4 + 36
Answer: (x2 - 2)(x2 + 2)(x2 - 3)(x2 + 3)

8. Graph the following quadratic function & label the “zero” points: y = -x2 – 2x + 8
Answer:

9. Factor the following expression: x6 + 3x4 - 4x2 - 12
Answer: (x2 - 2)(x2 + 2)(x2 + 3)

10. What are the solutions to each of the functions shown below:
Answers: (no real #s) x = x = -2, 4

11. Write the formula for the function shown below:
Answer: f(x) ≥ 3|x - 2|

12. Write the formula for the function shown below:
Answer: f(x)= -|x - 6|-2

13. Graph the following quadratic
Graph the following quadratic. Label the vertex & axis of symmetry: y = -(x – 2)2 + 5
Answer: