Simplification

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This lesson contains 31 slides, with interactive quizzes and text slides.

Items in this lesson

Simplification

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Slide 1 - Slide

Today

Start (5 min)
Recap simplification (10 min)
Bettermarks (25 min)
Recap expanding brackets (10 min)
Bettermarks (25 min)
End lesson (5 min)

Slide 2 - Slide

Simplification

a^{​ 2 ​ ​} + 8 a - 9 + 6 a - 2 =

Slide 3 - Slide

Simplification

a^{​ 2 ​ ​} + 8 a - 9 + 6 a - 2 = a^{​ 2 ​ ​} + 14 a - 11

Slide 4 - Slide

Simplification

a^{​ 2 ​ ​} + 8 a - 9 + 6 a - 2 = a^{​ 2 ​ ​} + 14 a - 11

4 a^{​ 3 ​ ​} b^{​ 5 ​ ​} \cdot 2 a^{​ 4 ​ ​} c^{​ 5 ​ ​} =

Slide 5 - Slide

Simplification

a^{​ 2 ​ ​} + 8 a - 9 + 6 a - 2 = a^{​ 2 ​ ​} + 14 a - 11

4 a^{​ 3 ​ ​} b^{​ 5 ​ ​} \cdot 2 a^{​ 4 ​ ​} c^{​ 5 ​ ​} = 8 a^{​ 7 ​ ​} b^{​ 5 ​ ​} c^{​ 5 ​ ​}

Slide 6 - Slide

Simplification

a^{​ 2 ​ ​} + 8 a - 9 + 6 a - 2 = a^{​ 2 ​ ​} + 14 a - 11

4 a^{​ 3 ​ ​} b^{​ 5 ​ ​} \cdot 2 a^{​ 4 ​ ​} c^{​ 5 ​ ​} = 8 a^{​ 7 ​ ​} b^{​ 5 ​ ​} c^{​ 5 ​ ​}

\frac{​ 1 8 x ^{​ 12 ​ ​} z ^{​ 2 ​ ​} ​ ​}{​ 9 x ^{​ 4 ​ ​} z ​} =

Slide 7 - Slide

Simplification

a^{​ 2 ​ ​} + 8 a - 9 + 6 a - 2 = a^{​ 2 ​ ​} + 14 a - 11

4 a^{​ 3 ​ ​} b^{​ 5 ​ ​} \cdot 2 a^{​ 4 ​ ​} c^{​ 5 ​ ​} = 8 a^{​ 7 ​ ​} b^{​ 5 ​ ​} c^{​ 5 ​ ​}

\frac{​ 1 8 x ^{​ 12 ​ ​} z ^{​ 2 ​ ​} ​ ​}{​ 9 x ^{​ 4 ​ ​} z ​} = 2 x^{​ 8 ​ ​} z

Slide 8 - Slide

Simplification

a^{​ 2 ​ ​} + 8 a - 9 + 6 a - 2 = a^{​ 2 ​ ​} + 14 a - 11

4 a^{​ 3 ​ ​} b^{​ 5 ​ ​} \cdot 2 a^{​ 4 ​ ​} c^{​ 5 ​ ​} = 8 a^{​ 7 ​ ​} b^{​ 5 ​ ​} c^{​ 5 ​ ​}

\frac{​ 1 8 x ^{​ 12 ​ ​} z ^{​ 2 ​ ​} ​ ​}{​ 9 x ^{​ 4 ​ ​} z ​} = 2 x^{​ 8 ​ ​} z

(a^{​ 2 ​ ​} b^{​ 5 ​ ​})^{​ 4 ​ ​} =

Slide 9 - Slide

Simplification

a^{​ 2 ​ ​} + 8 a - 9 + 6 a - 2 = a^{​ 2 ​ ​} + 14 a - 11

4 a^{​ 3 ​ ​} b^{​ 5 ​ ​} \cdot 2 a^{​ 4 ​ ​} c^{​ 5 ​ ​} = 8 a^{​ 7 ​ ​} b^{​ 5 ​ ​} c^{​ 5 ​ ​}

\frac{​ 1 8 x ^{​ 12 ​ ​} z ^{​ 2 ​ ​} ​ ​}{​ 9 x ^{​ 4 ​ ​} z ​} = 2 x^{​ 8 ​ ​} z

(a^{​ 2 ​ ​} b^{​ 5 ​ ​})^{​ 4 ​ ​} = a^{​ 8 ​ ​} b^{​ 20 ​ ​}

Slide 10 - Slide

Simplify

6 a + 9 b + 9

timer

0:20

15 a + 18 b

24 a b

6 a + 18 b

6 a + 9 b + 9

Slide 11 - Quiz

Simplify

6 a \cdot 9 b

timer

0:20

a^{​ 6 ​ ​} b^{​ 9 ​ ​}

15 a b

54 a b

6 a \cdot 9 b

Slide 12 - Quiz

Simplify

\frac{​ 1 5 a ^{​ 6 ​ ​} b ^{​ 9 ​ ​} ​ ​}{​ b ^{​ 3 ​ ​} ​}

timer

0:20

5 a^{​ 2 ​ ​} b^{​ 3 ​ ​}

5 a^{​ 6 ​ ​} b^{​ 6 ​ ​}

15 a^{​ 6 ​ ​} b^{​ 6 ​ ​}

15 a^{​ 6 ​ ​} b^{​ 3 ​ ​}

Slide 13 - Quiz

Simplify

3 a b - 8 a b + 7 a^{​ 2 ​ ​} b

timer

0:30

2 a^{​ 2 ​ ​} b

- 5 a b + 7 a^{​ 2 ​ ​} b

2 a^{​ 4 ​ ​} b^{​ 3 ​ ​}

3 a b - 8 a b + 7 a^{​ 2 ​ ​} b

Slide 14 - Quiz

Simplify

3 r^{​ 5 ​ ​} \cdot 5 r^{​ 3 ​ ​}

timer

0:20

8 r^{​ 8 ​ ​}

8 r^{​ 15 ​ ​}

15 r^{​ 15 ​ ​}

15 r^{​ 8 ​ ​}

Slide 15 - Quiz

Simplify

3 a + a \cdot 8 a

timer

0:30

8 a^{​ 2 ​ ​} + 3 a

11 a

12 a

32 a^{​ 2 ​ ​}

Slide 16 - Quiz

Simplify

6 t - 7 s + 2 t

timer

0:20

4 t - 7 s

4 t + 7 s

8 t - 7 s

6 t - 7 s + 2 t

Slide 17 - Quiz

Simplify

\frac{​ 2 4 p ^{​ 2 ​ ​} q ^{​ 6 ​ ​} ​ ​}{​ 6 q ^{​ 2 ​ ​} ​}

timer

0:30

4 p^{​ 2 ​ ​} q^{​ 3 ​ ​}

4 p^{​ 2 ​ ​} q^{​ 4 ​ ​}

18 p^{​ 2 ​ ​} q^{​ 3 ​ ​}

18 p^{​ 2 ​ ​} q^{​ 4 ​ ​}

Slide 18 - Quiz

Test C14

1-test
Only in Bettermarks
40 min
25-06

Slide 19 - Slide

Bettermarks

Work on 14.5
Until 10:45
Raise your finger if you have any questions or when you're finished

Slide 20 - Slide

Back to LessonUp

Slide 21 - Slide

Expanding brackets

7 (2 p + 3) =

Slide 22 - Slide

Expanding brackets

7 (2 p + 3) =

(5 x + 4) (8 - 2 x) =

Slide 23 - Slide

3 a (b^{​ 2 ​ ​} - 8 a) =

timer

0:30

3 a b^{​ 2 ​ ​} - 8 a

3 a b^{​ 2 ​ ​} - 11 a^{​ 2 ​ ​}

9 a b^{​ 2 ​ ​} + 24 a^{​ 2 ​ ​}

3 a b^{​ 2 ​ ​} - 24 a^{​ 2 ​ ​}

Slide 24 - Quiz

(3 x + 4) (x - 2) =

timer

0:45

3 x^{​ 2 ​ ​} - 10 x - 8

3 x^{​ 2 ​ ​} - 2 x - 8

3 x^{​ 2 ​ ​} + 2 x - 8

3 x^{​ 2 ​ ​} + 4 x - 8

Slide 25 - Quiz

- (4 a^{​ 2 ​ ​} - 3 b^{​ 2 ​ ​}) =

timer

0:30

4 a^{​ 2 ​ ​} + 3 b^{​ 2 ​ ​}

4 a^{​ 2 ​ ​} - 3 b^{​ 2 ​ ​}

- 4 a^{​ 2 ​ ​} + 3 b^{​ 2 ​ ​}

- 4 a^{​ 2 ​ ​} - 3 b^{​ 2 ​ ​}

Slide 26 - Quiz

(r - 5) (s - 4) =

timer

0:30

r s - 4 r - 5 s + 20

- 8 r s + 20

r s + 20

r - 5 s + 20

Slide 27 - Quiz

3 a b + 6 a (a + b) =

timer

0:45

3 a b + 6 a^{​ 2 ​ ​} + 6 a b

15 a^{​ 2 ​ ​} b

15 a b

6 a^{​ 2 ​ ​} + 9 a b

Slide 28 - Quiz

Homework and WA

Make all 6 paragraphs +0,5
Make 4-5 paragraphs, stays the same
Make 1-3 paragraphs -1
Make 0 paragraphs -2

Slide 29 - Slide

Slide 30 - Slide

Bettermarks

Work on 14.5
Until the end of the lesson
Raise your finger if you have any questions or when you're finished

Slide 31 - Slide

Simplification

Items in this lesson

Slide 1 - Slide

Slide 2 - Slide

Slide 3 - Slide

Slide 4 - Slide

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Slide 6 - Slide

Slide 7 - Slide

Slide 8 - Slide

Slide 9 - Slide

Slide 10 - Slide

Slide 11 - Quiz

Slide 12 - Quiz

Slide 13 - Quiz

Slide 14 - Quiz

Slide 15 - Quiz

Slide 16 - Quiz

Slide 17 - Quiz

Slide 18 - Quiz

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Slide 20 - Slide

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Slide 23 - Slide

Slide 24 - Quiz

Slide 25 - Quiz

Slide 26 - Quiz

Slide 27 - Quiz

Slide 28 - Quiz

Slide 29 - Slide

Slide 30 - Slide

Slide 31 - Slide

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§1.1 Expanding Brackets