Linear inequalities

13.5 Linear inequalities

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Slide 1: Slide

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This lesson contains 36 slides, with interactive quizzes and text slides.

Items in this lesson

13.5 Linear inequalities

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Slide 1 - Slide

Today

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

Slide 2 - Slide

What notation belongs to all numbers smaller or equal to 6?

timer

0:45

x < 6

x ≤ 6

x > 6

x ≥ 6

Slide 3 - Quiz

What notation belongs to all numbers between 2 and 5?

timer

0:45

2 < x < 5

2 < x > 5

2 > x < 5

2 > x > 5

Slide 4 - Quiz

Notation on the number line

x < -1
x ≥ 5
2 ≤ x < 3

Slide 5 - Slide

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 - Slide

1 < x < 4,5

1 > x > 4,5

1 > x < 4,5

1 ≤ x ≤ 4,5

Slide 7 - Quiz

1 < x < 4,5

Slide 8 - Slide

Linear equations

8 x + 9 = 2 x - 17

Slide 9 - Slide

Linear inequalities

8 x + 9 < 2 x - 17

Slide 10 - Slide

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

3 x + 7 > x - 3

2 x > - 10

3 x > x - 10

x > - 5

6 x + 1 > 8 x - 4

6 x > 8 x - 5

- 2 x > - 5

x < 2.5

timer

4:00

Slide 11 - Slide

2 x + 9 < 5 x - 6

Slide 12 - Slide

Solve

10 + 3 x < 2 - x

timer

2:00

Slide 13 - Open question

10 + 3 x < 2 - x

Slide 14 - Slide

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 - Slide

Recap 13.2, 13.3, 13.4

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Pen and paper to make calculations
Calculator

Slide 16 - Slide

13.2 Factoring binomials

14 x^{​ 2 ​ ​} - 21 x

Slide 17 - Slide

Factor

16 q^{​ 2 ​ ​} + 24 q

timer

0:45

Slide 18 - Open question

13.2 Factoring binomials

Solve the equation:

15 p^{​ 2 ​ ​} + 10 p = 0

Slide 19 - Slide

Solve the equation

8 m^{​ 2 ​ ​} + 20 m = 0

timer

2:00

Slide 20 - Open question

Solve the equation

8 m^{​ 2 ​ ​} + 20 m = 0

Slide 21 - Slide

13.3 Factoring trinominals

Factor

x^{​ 2 ​ ​} + 8 x + 15

Slide 22 - Slide

Factor

x^{​ 2 ​ ​} + 12 x + 36

timer

1:00

Slide 23 - Open question

Factor

x^{​ 2 ​ ​} + 11 x + 24

timer

1:00

Slide 24 - Open question

Factor

x^{​ 2 ​ ​} + 5 x - 14

timer

1:00

Slide 25 - Open question

Factor

x^{​ 2 ​ ​} - 6 x + 5

timer

1:00

Slide 26 - Open question

13.4: Power functions

Solve the equation

x^{​ 19 ​ ​} = 1843

Slide 27 - Slide

13.4: Power functions

Solve the equation

x^{​ 19 ​ ​} = 1843

x = ​ 19 ​ ​ \sqrt ​ 1843 ​ ​ ​

Slide 28 - Slide

13.4: Power functions

Solve the equation

x^{​ 19 ​ ​} = 1843

x = ​ 19 ​ ​ \sqrt ​ 1843 ​ ​ ​

x \approx 1.49

Slide 29 - Slide

13.4: Power functions

Solve the equation

x^{​ 19 ​ ​} = 1843

x = ​ 19 ​ ​ \sqrt ​ 1843 ​ ​ ​

x \approx 1.49

x \approx - 1.49

Slide 30 - Slide

Solve the equation

x^{​ 4 ​ ​} = 6561

timer

0:40

Slide 31 - Open question

13.4: Power functions

Solve the equation

5 x^{​ 6 ​ ​} + 13 = 148

Slide 32 - Slide

Solve the equation

x^{​ 5 ​ ​} + 11 = - 71

timer

1:30

Slide 33 - Open question

Solve the equation

x^{​ 5 ​ ​} + 11 = - 71

Slide 34 - Slide

Solve the equation

x^{​ 8 ​ ​} = - 256

Slide 35 - Slide

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 - Slide

Linear inequalities

Items in this lesson

Slide 1 - Slide

Slide 2 - Slide

Slide 3 - Quiz

Slide 4 - Quiz

Slide 5 - Slide

Slide 6 - Slide

Slide 7 - Quiz

Slide 8 - Slide

Slide 9 - Slide

Slide 10 - Slide

Slide 11 - Slide

Slide 12 - Slide

Slide 13 - Open question

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Slide 18 - Open question

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Slide 20 - Open question

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Slide 23 - Open question

Slide 24 - Open question

Slide 25 - Open question

Slide 26 - Open question

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Slide 31 - Open question

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Slide 33 - Open question

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Slide 36 - Slide

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