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Lesson 5­1.notebook                                                         December 13, 2012


           Assignment:

           1­­>L5.1, pg. 286, #1­6, 9, 12­23, 30­31  ­ Due Monday (12/17)
           2­­>L5.2, pg. 293, #2­30 (evens) ­ Due Monday (12/17)
           3­­>Chapter 4 test signed for extra credit




                                                                                                1
Lesson 5­1.notebook                                                  December 13, 2012

          Lesson 5.1 WarmUp:
          Write an equation in point­slope form for the line that 
          passes through each point with the given slope.
          1) (5, 3), m = 7

          Write each equation in standard form.
          2) y ­ 10 = 2(x  ­  8)

          3)    2y  +  3  =  ­1/3(x  ­  2)

          Write each equation in slope­intercept form.
          4) y ­ 11  =  3(x + 4)

          5)    y  +  4  =  3(3x  +  3)




                                                                                         2
Lesson 5­1.notebook                                                                December 13, 2012

            Lesson 5.1:

            *To solve inequalities...use the same "steps" that you would for solving 
            equations...

            *ISOLATE the variable
                *To "undo" addition ­ subtract
                    *To "undo" subtraction ­ add

            *For < or >...do NOT fill in the circle on the graph
               *For < or >...DO fill in the circle on the graph




                                                                                                       3
Lesson 5­1.notebook                   December 13, 2012


             *Key phrases:
                at most...  <
                no more than...  <
                at least...  >
                no less than... >  




                                                          4
Lesson 5­1.notebook                                                                                                                       December 13, 2012

            Lesson 5.1 examples:
            Solve each inequality.  Then graph the solution on a number line.
            A) x  ­  5  >  7



            B)   12  <  p  +  8

                                              ­10 ­9   ­8   ­7   ­6   ­5   ­4   ­3   ­2 ­1   0   1   2   3   4   5   6   7   8   9   10




            C)   9  +  g  >  10

                                              ­10 ­9   ­8   ­7   ­6   ­5   ­4   ­3   ­2 ­1   0   1   2   3   4   5   6   7   8   9   10




                                                                                                                                                              5
Lesson 5­1.notebook                                                                        December 13, 2012

            Define a variable, write an inequality, and solve each problem.  Check your 
            solution.
            D) A number increased by 8 is at least 12.




            E)   A number decreased by 10 is no more than 5.




                                                                                                               6

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8th alg -l5.1--dec13

  • 1. Lesson 5­1.notebook December 13, 2012 Assignment: 1­­>L5.1, pg. 286, #1­6, 9, 12­23, 30­31  ­ Due Monday (12/17) 2­­>L5.2, pg. 293, #2­30 (evens) ­ Due Monday (12/17) 3­­>Chapter 4 test signed for extra credit 1
  • 2. Lesson 5­1.notebook December 13, 2012 Lesson 5.1 WarmUp: Write an equation in point­slope form for the line that  passes through each point with the given slope. 1) (5, 3), m = 7 Write each equation in standard form. 2) y ­ 10 = 2(x  ­  8) 3) 2y  +  3  =  ­1/3(x  ­  2) Write each equation in slope­intercept form. 4) y ­ 11  =  3(x + 4) 5) y  +  4  =  3(3x  +  3) 2
  • 3. Lesson 5­1.notebook December 13, 2012 Lesson 5.1: *To solve inequalities...use the same "steps" that you would for solving  equations... *ISOLATE the variable *To "undo" addition ­ subtract *To "undo" subtraction ­ add *For < or >...do NOT fill in the circle on the graph *For < or >...DO fill in the circle on the graph 3
  • 4. Lesson 5­1.notebook December 13, 2012 *Key phrases: at most...  < no more than...  < at least...  > no less than... >   4
  • 5. Lesson 5­1.notebook December 13, 2012 Lesson 5.1 examples: Solve each inequality.  Then graph the solution on a number line. A) x  ­  5  >  7 B) 12  <  p  +  8 ­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 7 8 9 10 C) 9  +  g  >  10 ­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 7 8 9 10 5
  • 6. Lesson 5­1.notebook December 13, 2012 Define a variable, write an inequality, and solve each problem.  Check your  solution. D) A number increased by 8 is at least 12. E) A number decreased by 10 is no more than 5. 6