# math progress

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+3iandz2 =1–i.Find . a. –2–3i

b.

c. 2–3i d. –2+3i

Letz1 =2+3iandz2 =1–i.Find|z2 |.

1. –1–i
2. 1+i
3. –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?

1. x+2y+z+21=84
2. y+2y+3y=84
3. 3y+y+3y+21=84
4. 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, …

1. 6
2. −6
3. 5
4. 13

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

1. –25i, 1, –1
2. 0,5,–5
3. –25, i, –i
4. 0, 5i, –5i

Find the solution set of this equation:

1. 1
2. 2
3. 2, -1
4. -2, 1

____ 11.

Given: logb2 = .4, logb3 = .6, logb5 = .7. Use properties of logarithms to find the following value: logb0.6 =

1. –0.1
2. 1.0
3. –.06
4. –.76