>

Unit Five

Systems of Equations

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.

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.

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