1) The document provides instructions for a math lesson assignment on linear functions and solving equations. Students are to complete practice problems from their textbook and sign up for extra credit on an earlier test. 2) The warmup exercises involve solving various equations algebraically. The lesson defines linear functions and their relationship to roots/zeros, discussing how to graphically and algebraically solve linear equations by setting them equal to zero. 3) Examples are shown of solving equations both graphically by sketching the line and algebraically by isolating the variable, such as solving 0 = 1/2x - 2 for x = 4.

1. Lesson 3­2.notebook November 01, 2012
Assignment:
1­­>L3.2, pg. 164 & 166, #38­43 (all), #55­67 (all­­skip #58) ­ Due
Monday (11/5)
2­­>Chapter 2 Test signed for Extra Credit??
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2. Lesson 3­2.notebook November 01, 2012
Lesson 3.2 WarmUp:
Solve each equation. Show all steps for credit!
1) 3(2k ­ 2) = ­2(4k ­ 11)
2) 6r ­ 7 = r
10 4
3) ­2(b ­ 3) ­ 4 = 18
4) Find 3 consecutive even integers with the sum of ­84.
5) Find 3 consecutive integers such that 3 times the sum of the first 2 is equal
to thirteen more than 4 times the third.
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3. Lesson 3­2.notebook November 01, 2012
Lesson 3.2:
*linear function ­ a function for which the graph is a line
*root ­ the solution of an equation [any value that makes the equation
true]
*zeros ­ values of x for which f(x) = 0
...located at the x­intercept of the function...or the x­value when y = 0
***We can solve linear functions 2 ways:
­­by graphing ­ where it hits the "x" axis
­­by algebraically ­ isolate the variable
To solve graphically...
set everything equal to zero
plug y in for the zero
graph it
where it his the "x" is the solution
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4. Lesson 3­2.notebook November 01, 2012
Lesson 3.2 examples:
Solve each equation both ways.
A) 0 = 1/2x ­ 2
Y
graph:
X
alg:
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5. Lesson 3­2.notebook November 01, 2012
B) 3x + 1 = ­2
Y
graph:
X
alg:
5

6. Lesson 3­2.notebook November 01, 2012
C) 3x + 7 = 3x + 1
graph: Y
X
alg:
6