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Wiskunde

Graad 8

Getallestelsel

(natuurlike- en telgetalle)

Module 3

Algebra

Die “wonderwêreld” rondom ALGEBRA

KLASOPDRAG 1

  • Kom ontdek stap vir stap meer oor die ALGEBRA....
  • In Algebra maak ons van letters gebruik in die plek van onbekendes (dit wat ons nie weet nie).
  • ‘n Letter stel ‘n veranderlike (waarde wat kan verander) voor en ‘n getal is die konstante (die waarde bly dieselfde).
  • Wat gebeur by die vermenigvuldiging en deling van ( + ) en ( - ) tekens?
  • Die volgende:
  • ( + ) x of ÷ ( + ) = ( + )
  • ( - ) x of ÷ ( - ) = ( + )
  • ( + ) x of ÷ ( - ) = ( - )

1. Bestudeer die volgende in julle groepe en beantwoord die daaropvolgende vrae:

( 1 4 x 2 x ) 4 + 6 size 12{ { { \( { { size 8{1} } over { size 8{4} } } x rSup { size 8{2} } ` - `x \) } over {4} } `+`6} {}

  • Dui die volgende aan:

1.1 aantal terme

1.2 koëffisiënt van x size 12{x} {}

1.3 konstante

1.4 graad van die uitdrukking

2. Ons kan nou deur van veranderlikes gebruik te maak die volgende in wiskunde se “wondertaal” omskryf d.w.s as algebraïese uitdrukkings.

Kyk of jy nou die volgende as algebraïese uitrukkings kan skryf:

Gegee Algebraïese Uitdrukking
2.1 Die som van ‘n getal en 7
2.2 ‘n Getal vermeerder met 7
2.3 Die verskil tussen a en b
2.4 6 minder as ‘n getal verminder met 7
2.5 Die produk van ‘n getal en b
2.6 Kwosiënt van ‘n getal en 7
2.7 Vierkant van a
2.8 Vierkantswortel van a
2.9 Trek die verskil tussen a en b af van hul produk

3. Kyk of jy ‘n formule vir die volgende kan bepaal en voltooi dan die tabel.

x size 12{x} {} 2 5 8 10 15 47
y 7 11 17

formule: y =

HUISWERKOPDRAG 1

1. Bepaal ‘n formule vir elk van die volgende en voltooi dan die tabel.

1.1 formule: y = ……………………………………………………

x size 12{x} {} 2 5 8 9 12 20
y 10 16 22

1.2 formule: y = ……………………………………………………

x size 12{x} {} 3 7 10 9 12 20
y 12 32 47

1.3 formule: y = ……………………………………………………

x size 12{x} {} 1 3 4 9 12 20
y 1 9 16

1.4 formule: y = ……………………………………………………

x size 12{x} {} 1 2 3 6 7 10
y 1 8 27

1.5 formule: y = ……………………………………………………

x size 12{x} {} 1 2 4 9 12 20
y 2 5 17

2. Vuurhoutjies word gerangskik om vierkante te vorm.

2.1 Maak nou ‘n skets om vier vierkante te vorm, en dui aan hoeveel vuurhoutjies jy daarvoor gebruik het.

Vuurhoutjies …………………………

2.2 Kan jy nou ‘n formule bepaal om vinnig te bepaal hoeveel vuurhoutjies jy benodig het om ( x size 12{x} {} ) aantal vierkante te vorm?

y = ……………………………………… (waar y die aantal vuurhoutjies voorstel)

2.3 Bepaal nou m.b.v. jou formule hoeveel vuurhoutjies jy sal benodig om 110 vierkante te vorm.

2.4 Bepaal hoeveel vierkante jy kan vorm as jy 2 005 vuurhoutjies het.

3. Beskou die volgende uitdrukking en beantwoord die vrae wat volg:

1 4 a + a 2 5 + 7 + 3a 3 size 12{ - { {1} over {4} } a``+`` { {a rSup { size 8{2} } } over {5`} } ``+`7`+"3a" rSup { size 8{3} } } {}

3.1 Rangskik die uitdrukking in stygende magte van a.

3.2 Bepaal:

3.2.1 aantal terme

3.2.2 koëffisiënt van a ²

3.2.3 graad van die uitdrukking

3.2.4 konstante term

3.2.5 die waarde van die uitdrukking as a = -2

4. Skryf ‘n algebraïese uitdrukking vir elk van die volgende neer.

4.1 die produk van a en p , vermeerder met die som van a en p.

4.2 die som van a en p , word vermenigvuldig met 3.

4.3 die kwosiënt van a en p word vermeerder met 3.

4.4 ‘n busrit kos p rand per km, indien 45 km afgelê word, bereken die totale koste van die busrit.

4.5 5 word by die produk van 3 en a getel, en die antwoord word met die som van 9 en b verminder.

5. Jy huur ‘n motor by Kaapstad Internasionale Lughawe teen R 125,50 per dag.

5.1 Stel ‘n tabel op wat aandui hoeveel dit jou vir die volgende aantal dae sal kos, om die motor te huur : 6; 7; ..... 12 dae.

Questions & Answers

Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
hi
Loga
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
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Source:  OpenStax, Wiskunde graad 8. OpenStax CNX. Sep 11, 2009 Download for free at http://cnx.org/content/col11033/1.1
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