# 1.2 Algebra

 Page 2 / 2

3.2.5 the value of the expression if a = -2

4. Write an algebraic expression for each of the following.

4.1 the product of a and p , multiplied by the sum of a and p .

4.2 the sum of a and p , multiplied by 3

4.3 the quotient of a and p multiplied by 3

4.4 the cost of a bus trip is p rand per km. Calculate the cost of the entire, trip if the distance travelled is 45 km.

4.5 5 is added to the product of 3 and a , and the answer is reduced by the sum of 9 and b

5. You rent a car at Cape Town International airport at R 125,50 per day.

5.1 Compile a table to indicate how much it will cost you in hire for the following periods: 6; 7; ..... 12 days.

5.2 Determine a formula for representing the data with y (total cost) and $x$ (number of days).

5.3 What will the total hiring costs for 2½ months come to?

6. How many terms in each of the following expressions?

6.1 a b + m / n - 2( a + b )

6.2 ( p + q + r )3 - 4 r ²

6.3 m / n + 7 m ² ÷ 5 x p - q x r

6.4 (6 x q ) ÷ ( r x 7)

6.5 $\frac{\text{mn - pr - a}}{5}$

Assessment

 Assessment of myself: by myself: Assessment by Teacher: I can…    1 2 3 4 Critical Outcomes 1 2 3 4 distinguish between the terms of a polynomial; (Lo 2.4; 2.8.2; 2.9) Critical and creative thinking identify the coefficient of an unknown; (Lo 2.4; 2.9) Collaborating identify the constant in a polynomial; (Lo 2.4; 2.9) Organising en managing determine the degree of an expression; (Lo 2.4; 2.9; 2.8.1) Processing of information arrange the expression in a descending order; (Lo 2.4; 2.9) Communication accurately multiply and divide the signs (+ / -); (Lo 2.4; 2.8.4) Problem solving write algebraic expressions; (Lo 2.4; 2.2; 2.8.4) Independence determine the formulas for flow diagrams and tables. (Lo 2.1; 2.3; 2.4; 2.7)

good average not so good

 Comments by the learner: My plan of action: My marks: I am very satisfied with the standard of my work. < Date : I am satisfied with the steady progress I have made. Out of: I have worked hard, but my achievement is not satisfactory. Learner : I did not give my best. >
 Comments by parents: Comments by teacher: Parent signature: Date : Signature: Date :

## Assessment

 Learning outcomes(LOs) LO 2 Patterns Functions and AlgebraThe learner will be able to recognise, describe and represent patterns and relationships, as well as to solve problems, using algebraic language and skills. We know this when the learner : 2.1 investigates and extends numerical and geometrical patterns to find relationships and rules, including patterns that:2.1.1 are presented in physical or diagrammatic form;2.1.2 are not limited to series with constant difference or ratio;2.1.3 occur in natural and cultural contexts; 2.1.4 are created by the learner him/herself;2.1.5 are presented in tables;2.1.6 are presented algebraically; 2.2 describes, explains and justifies observed relationships or rules in own words or in algebra; 2.3 represents and uses relationships between variables to determine input an output values in a variety of ways by making use of:2.3.1 verbal descriptions;2.3.2 flow diagrams;2.3.3 tables;2.3.4 formulas and equations; 2.4 builds mathematical models that represent, describe and provide solutions to problem situations, thereby revealing responsibility towards the environment and the health of other people (including problems in the contexts of human rights, social, economic, cultural and environmental issues); 2.7 is able to determine, analyse and interpret the equivalence of different descriptions of the same relationship or rule which can be represented:2.7.1 verbally;2.7.2 by means of flow diagrams;2.7.3 in tables;2.7.4 by means of equations or expressions to thereby select the most practical representation of a given situation; 2.8 is able to use conventions of algebraic notation and the variable, reconcilable and distributive laws to:2.8.1 classify terms like even and odd and to account for the classification;2.8.2 assemble equal terms;2.8.3 multiply or divide an algebraic expression with one, two, or three terms by a monomial; 2.8.4 simplify algebraic expressions in bracketed notation using one or two sets of brackets and two types of operation;2.8.5 compare different versions of algebraic expressions having one or two operations, select those that are equivalent and motivate the selected examples;2.8.6 rewrite algebraic expressions, formulas or equations in context in simpler or more usable form; 2.9 is able to interpret and use the following algebraic ideas in context: term, expression, coefficient, exponent (or index), basis, constant, variable, equation, formula (or rule).

## Class assignment 1

• 2
• $-\frac{1}{4}$
• 6
• 2

2.1 x + 7

2.2 x + 7

2.3 a – b

• ( x + 7) – 6

= x – 13

• x x $b$ = x $b$
• $\frac{x}{7}$
• $a$ 2
• $\sqrt{a}$

2.9 $\text{ab}$ – ( $a$ $b$ )

3.1 a c

7 -4

3.2 a c

9 $-\frac{1}{2}$

4. 21; 31; 95; $y=2x+1$

## Homework assignment 1

• y = 2 x + 6
• y = 5 x – 3
• y = x 2
• y = x 3
• y = x 2 + 1
• Sketch: (3 x 4) + 1 = 13
• y = 3 x + 1
• y = 3(110) + 1 = 331
• (2 005 – 1) ÷ 3 = 668
• 7 – $\frac{1}{4}a$ + $\frac{{a}^{2}}{5}$ + 3 ${a}^{3}$
• 4
• $\frac{1}{5}$
• 3
• 7
• $-\frac{1}{4}\left(-\frac{2}{1}\right)$ + ${\left(\frac{-2}{5}\right)}^{2}$ + 7 3(-2) 3

= $\frac{1}{2}$ + $\frac{4}{5}$ + 7 – 24

= $\frac{5+8+\text{70}-\text{240}}{\text{10}}$

= $\frac{-\text{157}}{\text{10}}$ = -15,7

• ap + ( a + p )
• 3( a + p )
• $\frac{a}{p}$ + 3
• 45 p
• (3 a + 5) – (9 + b )

5.1

 Days 6 7 8 9 10 11 12 R 753 878,50 1 004 1 629,50 1 255 1 380,50 1 506
• y = 125,5 x
• 2 $\frac{1}{2}$ months (2 x 30 ) + 15 75 x R125,50 = R9 412,50

or (30 + 31 + 15) 76 x R125,50 = R9 538,00

• 3
• 2
• 3
• 1
• 1

where we get a research paper on Nano chemistry....?
what are the products of Nano chemistry?
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
Preparation and Applications of Nanomaterial for Drug Delivery
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
I only see partial conversation and what's the question here!
what about nanotechnology for water purification
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
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
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?
what is a peer
What is meant by 'nano scale'?
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
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
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?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
how did you get the value of 2000N.What calculations are needed to arrive at it
Privacy Information Security Software Version 1.1a
Good
Got questions? Join the online conversation and get instant answers!