Topic 4 Systems of Linear Equations and Inequalities
Lesson Outline
4-1 Solving Systems of Equations by Graphing – We learned to use the graph systems of linear equations in two variables to find an approximate solution. Then we learned that the intersection of the graphs of a pair of linear equations is used to estimate the solution to a system. If two lines intersect at a point there’s exactly one solution. If two lines are the same, there are infinitely many solutions. If two lines are parallel, there is no solution.
Assignment: For homework complete assigned problems.
We practiced simplifying exponential expressions. We reviewed the rules for every nonzero number or letter raised to the zero power. Then we reviewed the negative exponent property. Next we practiced finding an equation of a line from a graph.
Assignment: For homework complete problems that I sent you and complete writing the equations from the graphs.
3-2 Linear Functions – We learned that linear functions can be represented in multiple ways, using words, tables, graphs, and rules. Function notation is a way to write the rules for a function f. The output of the function f (x), means that f is a function of the input variable x.
We worked on solving word problems involving finding the area of shapes within shapes. Then we practiced solving literal equations.
Assignment: For homework complete word problems that I sent you.
3-2 Linear Functions – We learned to write and evaluate linear functions using function notation. Then we learned to graph a linear function and relate the domain of a function to its graph. Next we learned to interpret functions represented by graphs, tables, verbal descriptions, and function notation in terms of a context.