Linear inequalities

13.5 Linear inequalities
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13.5 Linear inequalities
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Slide 1 - Tekstslide

Today
  • Start (5 min)
  • New subject (15 min)
  • Bettermarks (20 min)
  • Recap (20 min)
  • Bettermarks (15 min)
  • End lesson (5 min)

Slide 2 - Tekstslide

What notation belongs to all numbers smaller or equal to 6?
timer
0:45
A
x < 6
B
x ≤ 6
C
x > 6
D
x ≥ 6

Slide 3 - Quizvraag

What notation belongs to all numbers between 2 and 5?
timer
0:45
A
2 < x < 5
B
2 < x > 5
C
2 > x < 5
D
2 > x > 5

Slide 4 - Quizvraag

Notation on the number line



  • x < -1
  • x ≥ 5
  • 2 ≤ x < 3  

Slide 5 - Tekstslide

13.5: Linear inequalities


  • x < 1, open circle if the number is not included  



  • x ≥ 4, colored circle if the number is included
timer
3:00

Slide 6 - Tekstslide


A
1 < x < 4,5
B
1 > x > 4,5
C
1 > x < 4,5
D
1 ≤ x ≤ 4,5

Slide 7 - Quizvraag

1 < x < 4,5

Slide 8 - Tekstslide

Linear equations
8x+9=2x17

Slide 9 - Tekstslide

Linear inequalities
8x+9<2x17

Slide 10 - Tekstslide

Note: Solving linear inequalities
You solve a linear inequalitie by using the balance method. The sign reverses if you divide by a negative number.
        Example 1                                                     Example 2
3x+7>x3
2x>10
3x>x10
x>5
6x+1>8x4
6x>8x5
2x>5
x<2.5
timer
4:00

Slide 11 - Tekstslide

2x+9<5x6

Slide 12 - Tekstslide

Solve
10+3x<2x
timer
2:00

Slide 13 - Open vraag

10+3x<2x

Slide 14 - Tekstslide

Bettermarks
  • Work on 13.5
  • 20 minutes
  • Raise your finger if you have any questions or when you're finished
  • Communicate in English please
timer
20:00

Slide 15 - Tekstslide

Recap 13.2, 13.3, 13.4
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  • Pen and paper to make calculations
  • Calculator

Slide 16 - Tekstslide

13.2 Factoring binomials
14x221x

Slide 17 - Tekstslide

Factor
16q2+24q
timer
0:45

Slide 18 - Open vraag

13.2 Factoring binomials
Solve the equation:
15p2+10p=0

Slide 19 - Tekstslide

Solve the equation
8m2+20m=0
timer
2:00

Slide 20 - Open vraag

Solve the equation
8m2+20m=0

Slide 21 - Tekstslide

13.3 Factoring trinominals
Factor
x2+8x+15

Slide 22 - Tekstslide

Factor
x2+12x+36
timer
1:00

Slide 23 - Open vraag

Factor
x2+11x+24
timer
1:00

Slide 24 - Open vraag

Factor
x2+5x14
timer
1:00

Slide 25 - Open vraag

Factor
x26x+5
timer
1:00

Slide 26 - Open vraag

13.4: Power functions
Solve the equation



                                     
x19=1843

Slide 27 - Tekstslide

13.4: Power functions
Solve the equation



                                     
x19=1843
x=191843

Slide 28 - Tekstslide

13.4: Power functions
Solve the equation



                                     
x19=1843
x=191843
x  1.49

Slide 29 - Tekstslide

13.4: Power functions
Solve the equation



                                       or
x19=1843
x=191843
x  1.49
x  1.49

Slide 30 - Tekstslide

Solve the equation
x4=6561
timer
0:40

Slide 31 - Open vraag

13.4: Power functions
Solve the equation
5x6+13=148

Slide 32 - Tekstslide

Solve the equation
x5+11=71
timer
1:30

Slide 33 - Open vraag

Solve the equation
x5+11=71

Slide 34 - Tekstslide

Solve the equation
x8=256

Slide 35 - Tekstslide

Bettermarks
  • Work on 13.5
  • Until the end of the lesson
  • Raise your finger if you have any questions or when you're finished
  • Communicate in English please

Slide 36 - Tekstslide