2TH §9.2 Solving equations

§9.2 Solving equations.
It is  IMPORTANT to LEARN how to 
SOLVE LINEAR EQUATIONS
 IN A GOOD WAY!
That's why we'll PRACTICE it once more, now.
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§9.2 Solving equations.
It is  IMPORTANT to LEARN how to 
SOLVE LINEAR EQUATIONS
 IN A GOOD WAY!
That's why we'll PRACTICE it once more, now.

Slide 1 - Diapositive

Example 1:       Solve: 
1. take together the like terms (not the case here)
2. remove 10 bags of marbles on both sides.   RESULT:

Slide 2 - Diapositive

Solve:  14n + 8 = 10n + 24
  • 3.   remove 8 loose marbles on both sides.   RESULT:  

Slide 3 - Diapositive

Solve:      14n + 8 = 10n + 24
4. calculate n by dividing by 4 ON BOTH SIDES:

Slide 4 - Diapositive

TASK:                                    Solve: 
What is the 1st step to take? Choose from:
A. remove loose marbles on both sides              B. divide by 34
C. remove bags of marbles on both sides          D. taking together like terms

KEY IN YOUR ANSWER IN THE NEXT SLIDE !

Slide 5 - Diapositive

34n + 15 + 7n = 52n + 4
What is the 1st step to take?
A. take away loose marbles on one side B. divide by 34
C. take away bags of marbles on one side
D. taking together like terms
timer
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A
take away loose marbles on both sides
B
divide by 34
C
take away bags of marbles on both sides
D
taking together like terms

Slide 6 - Quiz

We have:
What is the 2nd step to take?    Choose from:
A.    dividing by 41                                       B. taking away loose marbles on one side
C.     taking away bags of marbles on one side      D. dunno 

KEY IN YOUR ANSWER IN THE NEXT SLIDE !

Slide 7 - Diapositive

What is the 2nd step to take?

41n + 5 = 52n + 4




Solve: 41n + 5 = 52n + 4
The right step to take is now:
A. dividing by 41
B. taking away loose marbles on one side
C. taking away bags of marbles on one side
D. dunno

timer
0:20
A
dividing by 41
B
taking away loose marbles on both sides
C
taking away bags of marbles on both sides
D
dunno

Slide 8 - Quiz

Now  we have: 
What is the 3rd step?
Key it in in the next slide!

Slide 9 - Diapositive

timer
0:20
5 = 11n + 4
3rd step: ........ = ...........

Slide 10 - Carte mentale

Below you see the 3rd step: taking away 4 loose marbles.
One step to go!
key the final result in in the next slide.

Slide 11 - Diapositive

timer
0:20
1 = 11n, so n = .....

Slide 12 - Carte mentale

Below you do not only see the last step, but the whole Solution!
This is the way it is written,
and so it shall be done!
By you, doing the tasks
from §9.2, today.

Slide 13 - Diapositive

Slide 14 - Diapositive

One more 'new' thing .....
Using 'brackets' is
not really new, of course,
but IT IS, in an equation!
It just asks for one more step:
The new 1st step now becomes:  REMOVE THE BRACKETS.

Slide 15 - Diapositive

Here you see how to
solve this one!
Bye the way,
you do not HAVE TO 
CHECK, if you are sure
of your answer.

Slide 16 - Diapositive

Homework time
§9.2
Do S11, 12, 13, 15
Only 4 tasks, but ... work them all out in the good way!
STUDY and USE  the METHOD on p.95  and the THEORY on p.96,
when making the tasks.

Slide 17 - Diapositive