Unit #4 Review

Systems

100

Is (3,-9) a solution to...

y = 3x - 18

2x + 2y = -12

YES

200

Solve by substitution method...

x - 2y = -2

y = -3x + 22

(6,4)

300

Solve by addition method...

14x - 3y = -50

7x + 7y = -42

(-4,-2)

400

Solve by the method of your choice:

x = 6y - 8

2x - 12y = -16

Infinite Solutions

500

Solve the system

4x - 8y + 3z = 18

x + 4y - z = 0

8x - y - z = 9

(2,1,6)

Matrices

100

Matrix Problem 01

-11     13

  2      -7

200

Matrix Problem 04

Undefined

300

Matrix Problem 06

4     -1

21   -18

400

Matrix problem 09

68

500

Solve by using Cramer's Rule

3x + 7y = 26

4x - 2y = -22

(-3,5)

Arithmetic Sequences

100

Find the 50th term for the arithmetic sequence that has a first term 8 and common difference of 6

302

200

Write the formula for the general term:

4 , 12 , 20 , 28

8n - 4

300

Write the sum of the first 6 terms...

5i

105

400

Find the sum of the first 120 natural numbers

7260

500

Find the sum of the first 140 positive even numbers

19740

Geometric Sequences

100

Find the 10th term for the geometric sequence that has the first term 4 and common ratio -2

-2048

200

Write a formula for the nth term:

2 , 4 , 8 , 16

2^n

300

Find the sum of the first 4 terms of the following geometric sequence...

4(1.05)^i-1

17.2405

400

Find the sum of the first 11 terms:

4(2^i)

16,376

500

Find the sum of the infinite geometric sequence

11(3/11)ⁱ

33/8