8th alg -l3.2--nov1

J
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??




                                                                                                       1
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.




                                                                                                          2
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 




                                                                                                             3
Lesson 3­2.notebook                                  November 01, 2012

            Lesson 3.2 examples:
            Solve each equation both ways.
            A) 0 = 1/2x  ­  2
                                             Y
            graph:




                                                 X




            alg:




                                                                         4
Lesson 3­2.notebook                  November 01, 2012


            B) 3x  +  1  =  ­2
                                 Y
            graph:



                                     X




            alg:




                                                         5
Lesson 3­2.notebook                            November 01, 2012


            C) 3x  +  7  =  3x  +  1

            graph:                     Y




                                           X




            alg:




                                                                   6
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8th alg -l3.2--nov1

  • 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?? 1
  • 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. 2
  • 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  3
  • 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: 4
  • 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