Home About Us Technology | Lab Equipment Curricula Professional Development Contact Us Order
MATH Connections: First Edition

COMPASS REVIEW Systems of Linear Equations

"... Students will utilize graphs and/or tables of values to compare two sets of data. By plotting points, they will graph linear equations on the same set of axes, find the point of intersection, and make comparisons. They will also use the calculator to graph pairs of equations (some non-linear) and find their point(s) of intersection. They will solve systems of linear equations..."


Sample Page

 

Using Lines and Equations Precise Answers
5.6  Precise Answers to  Real Life Situations

Earlier in this chapter, you solved the following problem using the guessing game algorithm.

A bacterial culture is being treated with ultraviolet rays in an attempt to kill the bacteria.

 

Length of Treatment
(t hours)

% Surviving
0 100
1 91
2 82
3 73

Display 5.21

Determine the amount of time it will take to kill all the bacteria.

We can also solve this problem using a graph (Display 5.22).

Place a ruler on the data points on the graph in Display 5.22. Do they seem to fall on a straight line? Draw the best line you can. Use your graph to determine how long it will take to kill all the bacteria. Did everyone in your class get the same result?

Bacteria Chart

Display 5.22

Discuss

Learning Outcomes
..........................

After studying this section, you will be able to:

Solve a system of two linear equations by using tools of algebra (graphing, intercepts, substitution and solving equations);

Recognize systems of equations that can be solved graphically.