algebra

1. Simplify expression with complex numbers. Write the answer in form a+bi, where a and b are real numbers.

(6 – 4i)(5 + 9i)

2. Simplify expression with complex numbers. Simplify. Write the answer in form a+bi, where a and b are real numbers.

(5 – 4i) 2

3. Simplify complex number (i2 = - 1).

i 107

4. Solve quadratic equation: 15x + 3x2 = 0

5. Solve quadratic equation (the answer might involve i value): 2x2 + 2x + 5 = 0

6. Find coordinates of vertex, determine if the function has minimum or maximum value and find that value:

f(x) = 2x 2 + 10x + 5

MATH107 Quiz-3

7. Which one represents graph of function: f(x) = – x2 + 4x – 10

A B C

8. Solve inequality with absolute value

|2x – 1| + 7 < 12

9. Find x-interval(s) that holds solution for this inequality x

2 - 3x > 4

10. Find x-interval(s) that holds solution for this inequality

2x 2 + 3x - 2 < 0