1TH/vwo §11.3 Multiplication and addition

• Wiskunde
• Middelbare school
• havo, vwo
• Leerjaar 1

Here are the LIKE TERMS again, never leaving us alone.

However, recognising them makes your Maths life easier!

Task:  Try to find the final answer for the easiest one.

Remember your answer, because you won't see the task in the next slide!

The answer to the easiest one is:

1. 25
2. 50
3. 269
4. 250

Solution:

Did you notice that this task was all

about LIKE TERMS?

The terms 8 x         and

  2 x              are the like terms here.

They are added up, as you can see.

5​2​​

5​2​​

Solution:

Task: Which tasks(s) has LIKE TERMS: A, B or C?

Like terms are in:

1. A
2. B
3. C
4. A and C

Task:   Shorten formula A.   Give your answer 

in the next slide. 

Answer A

Task:   Shorten formula A.  

SOLUTION:

s=7t​2​​

A.   Intro to the coming THEORY (1)

Do you remember this, about shortening? 

          

This was taken from Ch 10. The same thing applies with squares!

Watch the next slide and be amazed.

1x=x

−1x=−x

1f=f

−1f=−f

  B. Intro to the next slide (2)

Basic rules:      1f = f    or     f = 1f          and        -1h = -h         or       -h = -1h

4f + 3f = 7f

4f + f = 4f + 1f = 5f

7d - d = 7d - 1d = 6d

Next we will look at similar calculations, only now with quadratic tasks!

Which one is true?

1. -1v = -v
2. v + v = v
3. -v -v = 2v
4. -v + v = 0

Solution:

A.     -1v = -v  is correct, because '1' can be left out

B.     v + v = v  is wrong, because v + v = 1v + 1v = 2v

C.     -v - v = 2v  is wrong, because -v -v = -1v -1v = -2v

D.     -v + v = -1v + 1v = 0  is correct

How to solve this exercise?

-see next slide too!-

How to solve this exercise? Like this:

FIRST WORK THEM OUT; ONLY THEN YOU CAN MAKE PAIRS!

FIRST WORK THEM OUT; ONLY THEN YOU CAN MAKE PAIRS!

Okay, let's do a bit together now:

1.                          x                =

So now it is obvious that  formula 1 and formula 7  are equal!

When doiung 21 for homework, work them all out and only then combine them!

p=k

k

k​2​​

Homework time.

Do §11.3 now.

+ you may skip: 15 and 16

+ VWO:  18 t/m. 23 and C4+C5