1. ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 2-1
1/18/2019
ALGEBRA II HONORS/GIFTED @
REVIEW FOR TEST 2-1

2. QUESTION #1
Factor completely.
9x2 – 81
25x2 + 40x + 16

3. ANSWERS TO QUESTION #1
9(x + 3)(x – 3)
(5x + 4)2

4. Solve. You may use Imaginary Numbers.
QUESTION #2
Solve. You may use Imaginary Numbers.
5x2 – 20x + 80 = 0

5. ANSWER TO QUESTION #2

6. ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 2-1
1/18/2019
QUESTION #3
Determine the nature of the roots.
2x2 – 7x + 12 = 0
5x2 + 9x – 4 = 0
4x2 - 17x = 15

7. ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 2-1
1/18/2019
ANSWERS TO QUESTION #3
2 imaginary roots
2 Real (irrational) roots
2 Real (rational) roots

8. QUESTION #4
If z1 = 7 + 2i and z2 = 6 – 5i, find
z1 – z2
z1 • z2

9. ANSWERS TO QUESTION #4
1 + 7i
52 – 23i

10. QUESTION #5
Write a quadratic equation if
one of its roots is -3 – 2i.

11. ANSWER TO QUESTION #5
x2 + 6x + 13 = 0

12. QUESTION #6
Simplify.
i2001
i3428 i

13. ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 2-1
1/18/2019
ANSWERS TO QUESTION #6 i 1 -1

14. QUESTION #7 Given the equation for the parabola y = -2x2 + 8x - 3 …
Write the coordinates of the vertex.
Write the equation in Vertex Form.

15. ANSWER TO QUESTION #7
(2, 5)
y = -2(x - 2)2 + 5

16. QUESTION #8
Solve the system of equations.
3x – 4y = -12
-6x + 8y = 24

17. ANSWER TO QUESTION #8
infinitely many

18. QUESTION #9
A parabola contains these three ordered pairs : (-2, -32), (2, -12), and (5, -81).
Write three equations in
y = ax2 + bx + c form using the ordered pairs. Simplify.

19. ANSWERS TO QUESTION #9
-32 = 4a – 2b + c
-12 = 4a + 2b + c
-81 = 25a + 5b + c

20. QUESTION #10
Use the equations from #9 to find the equation, in Standard Form, of the parabola.

21. ANSWER TO QUESTION #10
y = -4x2 + 5x - 6

22. STUDY
Sections 4-1 to 4-8
Word Problems

23. S O L U T I N