# math progress

please check attachment

Progress Test 3 (Evaluation 59) covers the course materials that were assigned in Units 5 and 6. Although the progress test is similar in style to the unit evaluations, the progress test is a closed-book, proctored test. You may not have access to notes or any of the course materials while you are taking the test. *You may use your graphing calculator on this test.*

____ 1.

Find the value of *a *for this series: a.

b.

c.

d. 3

Letz1 =2+3*i*andz2 =1–*i*.Find . a. –2–3i

b.

c. 2–3i d. –2+3i

Letz1 =2+3*i*andz2 =1–*i*.Find|z2 |.

- –1–i
- 1+i
- –1+i

d.

Use a geometric series to find the rational number represented by the decimal . What does the rational number equal?

a. b.

c. d.

____ 2.

____ 3.

____ 4.

____ 5.

a.

Use this system to find the determinant: .

____ 6.

____ 7.

____ 8.

____ 9.

____ 10.

b. c. d.

The sum of three numbers is 84. If the first is three times the second, and the third is twenty-one more than the first. Which algebraic equation would best represent the sum of the three integers?

- x+2y+z+21=84
- y+2y+3y=84
- 3y+y+3y+21=84
- x+2y+2z+21=84

Use the elimination method to find the solution for y:

a. 3 b. 2 c. 1 d. 0

Find the common difference in the arithmetic sequence: 1, 7, 13, 19, 25, 31, …

- 6
- −6
- 5
- 13

What are the roots of *f*(x) = x3 + 25x?

- –25i, 1, –1
- 0,5,–5
- –25, i, –i
- 0, 5i, –5i

Find the solution set of this equation:

- 1
- 2
- 2, -1
- -2, 1

____ 11.

Given: *log*b2 = .4, *log*b3 = .6, *log*b5 = .7. Use properties of logarithms to find the following value: *log*b0.6 =

- –0.1
- 1.0
- –.06
- –.76