1Tvwo §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? 

          

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 terms!

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 doing 20 for homework, work them all out first and then you will be able to combine them!

p=k

k

k​2​​

Homework time.

Do §11.3 now. Choose your learning path.

+ you may skip: 15 and 16

Check your answers with the solutionsbook in Teams.

Shorten the formula

Shorten the formula-answer

9a​2​​−a+7