**Unit Five**

Unit Objective:

Solve two linear equations in two unknowns; approximate the solution graphically; solve the system
algebraically by substitution or addition-subtraction (elimination); solve the system using
determinants, Cramer's Rule; solve three linear equations in three unknowns algebraically or with
determinants, Cramer's Rule; evaluate 2 x 2 and 3 x 3 determinants.

*All assignments are in Basic Technical Mathematics With Calculus 7th edition by Allyn J. Washington, 2000.

Method of Evaluation:

The unit test will be a pencil and paper quiz taken at your class site. The test will be
administered by the instructor or by a proctor. Please see the course schedule for the
exact time and date of the unit test.

Objective One

Be able to determine if a given pair of values is a solution to a linear equation.

- Read 5.1, pages 129 - 131.
- Complete Work Exercises 5.1, page 132 #1 - 11 (odd), 19.
**Quick Review sheet 5-1**.

Objective Two

Use slope intercept or the 2-point method to graph lines.

- Read 5.2, pages 132 - 135.
- Complete Work Exercises 5.2, page 136 #1, 3, 9, 13, 17 - 29 (odd), 33.
**Quick Review sheet 5-2**.

Objective Three

Learn to estimate the solution to 2 x 2 equations from the graph.

- Read 5.3, pages 136 - 139.
- Complete Work Exercises 5.3, page 140 #1, 3, 9, 11, 15.
**Quick Review sheet 5-3**.

Objective Four

Learn to solve 2 x 2 equations algebraically by substitution or elimination.

- Read 5.4, pages 140 - 145.
- Complete Work Exercises 5.4, pages 145 - 146 #1, 3, 7, 13 - 21 (odd), 25, 27, 35, 42.
**Quick Review sheet 5-4**.

Objective Five

Evaluate 2 x 2 determinants and use Cramer's Rule to solve 2 x 2 systems.

- Read 5.5, pages 147 - 151.
- Complete Work Exercises 5.5, pages 151 - 152 #1 - 15 (odd), 21, 23, 27, 33, 41.
**Quick Review sheet 5-5**.

Objective Six

Solve 3 x 3 systems algebraically.

- Read 5.6, pages 152 - 155.
- Complete Work Exercises 5.6, pages 155 - 156 #1, 3, 11, 17, 19.
**Quick Review sheet 5-6**.

Objective Seven

Evaluate 3 x 3 determinants and use Cramer's Rule to solve 3 x 3 systems.

- Read 5.7, pages 157 - 161 and pages 416-418 Example 2.
- Complete Work Exercises 5.7, pages 161 #1, 3, 7, 15, 19, 29.
**Quick Review sheet 5-7**.

Worksheets

- Objective 1 Worksheet.
- Objective 2 Worksheet.
- Objective 3 Worksheet.
- Objective 4 Worksheet.
- Objective 5 Worksheet.
- Objective 6 Worksheet.
- Objective 7 Worksheet.
- Answers .

**[Course Outline]** **[Home Page]**

*Copyright © 1996 by B. Chambers and P. Lowry. All Rights Reserved.*