Name _____________________________________
Algebra 2
- Chapter 5 Review (Part 2)
Simplify each expression.
1.
 120
2. (  12 )( 8 )
Simplify each expression.
3. (3 + 4i) – (7 – 2i)
4. (5 – i)(9 + 6i)
Find the additive inverse of each number.
6. 2 – i
5. (3 + 8i) + (5 – 2i)
7. -4 + 3i
8. Find the absolute value of the complex number 7 – 2i. Graph the Point.
Imaginary
10
8
6
4
2
-10 -8
-6 -4
-2
2
4
6
8 10
Real
-2
-4
-6
-8
-10
Solve by using the Quadratic Formula.
9. 3x2 + 4x – 10 = 0
10. x2 + 3x + 5 = 0
Evaluate the discriminant of each equation. How many real and imaginary solutions does each have?
11. x2 + 6x – 7 = 0
12. 3x2 – x + 3 = 0
Solve by completing the square.
13. x2 + 6x – 7 = 0
14.
x2 - 4x = 28
15. 3x2 = 6x - 9
Name _____________________________________
Algebra 2 – Answers Ch. 5 Review (Part 2)
30
2. 4i 6
1. 2i
3. -4 + 6i
4. 51 + 21i
5. 8 + 6i
6. -2 + i
7. 4 – 3i
8.
10
53 or 7.28
8
6
4
2
-10 -8
-6 -4
-2
2
-2
-4
-6
-8
-10
9.
10.
 2  34
or -2.61, -1.28
3
 3 i 11

2
2
11. 64; 2 real solutions
12. -35; 2 imaginary solutions
13. 1, -7
14. +/- 4
2 +2
15. h = 235.9, t = 6.94
4
6
8 10