Algebraic Expression - unlike and like

An algebraic expression consisting of two or more like terms can be simplified by combining like terms.

Like terms are terms that have the same variable part i.e. they only differ in their coefficients.

For example:

2x and –5x are like terms

a and are like terms

6x and 5y are unlike terms

Like terms can be added or subtracted from one another.

Example :

Simplify the expressions:

a) 14x + 5x

b) 5y – 13y

c) p – 3p

Solution:

a) 14x + 5x = (14 + 5)x = 19x

b) 5y – 13y = (5 –13)y = –8y

c) p – 3p = (1 – 3)p = – 2p

Algebraic Expression - Coefficient

Coefficients

The coefficient of a variable is the number that is placed in front of a variable.

For example, 3 × w can be written as 3w and 3 is the coefficient.

Coefficient

Coefficients Of Algebraic Terms

The number (positive or negative) in the algebraic term is called the coefficient.

For example:

For the term 4x, 4 is the coefficient

For the term –7y, –7 is the coefficient

The coefficient of 1 in an algebraic term is usually not written.

For example:

1y can be written as simply y. So, 1y and y are the same.

Example:

Find the coefficient and variable of each of the following terms:

a) 0.2m

b) –3p

c) q

d) z

e)

Solution:

a) 0.2m (The coefficient is 0.2 and the variable is m)

b) –3p (The coefficient is –3 and the variable is p)

c) q (The coefficient is and the variable is q)

d) z (The coefficient is 1 and the variable is z)

e) (The coefficient is and the variable is x)

Algebraic Expression - Term

Terms

A term can be any of the following:

• a constant: e.g. 3, 10, π,
• the product of a number (coefficient) and a variable: e.g. –3x, 11y,
• the product of two or more variables: e.g. x², xy, 2y², 7xy

Like terms are terms that differ only in their numerical coefficients. For example: 3a, 22a, are like terms.

Expressions

An expression is made up of one or more terms.

For example:

3w + 4xy + 5

An expression can be term or a collection of terms separated by addition or subtraction operators. Some examples of expressions, with the numbers of terms, are listed below:

Expression	Number of Terms	Description
6x	1	A number multiplied by a variable. The number is always written first followed by the variable(s).
3w – 8	2	Terms separated by –
7b + 5t – 6	3	Terms separated by + and –
	1	All multiplication and division, no + or – symbol

Example:

Determine the number of terms in the following expressions:

a) 5xyz

b) 3x + 2y – 2x + 6

Solution:

a) 5xyz has one term

b) 3x + 2y – 2x + 6 has four terms

Algebraic Expression

In mathematics, often the value of a certain number may be unknown. A variable is a symbol, usually a letter, which is used to represent an unknown number.

Some examples of variables are:

x, a, t, y, b

A term can be a number, a variable, or a number and variable combined by multiplication or division.

Some examples of terms are:

x, 8, 4y,

Solid Geometry

Solid geometry is concerned with three-dimensional shapes. Some examples of three-dimensional shapes are cubes, rectangular solids, prisms, cylinders, spheres, cones and pyramids. We will also discuss some nets of solids.

Cubes

A cube is a three-dimensional figure with six matching square sides.

The figure above shows a cube. The dotted lines indicate edges hidden from your view.

If s is the length of one of its sides, the

Volume of the cube = s³

Since the cube has six square-shape sides, the

Surface area of a cube = 6s²

Rectangular Solids

In a rectangular solid, the length, width and height may be of different lengths.

The volume of the above rectangular solid would be the product of the length, width and height that is

Volume of rectangular solid = lwh

Surface area of rectangular solid = 2(lw + wh + lh)

Quiz section
Please answer question here.

Kursus Blogger Hari Ini

Seramai 11 orang peserta daripada guru cemerlang hadir. Kursus bermula jam 8.30 pagi,

Cara Mencepatkan Browse

Browsing Internet dengan kecepatan yang tinggi pasti sangat menyenangkan, berbagai cara dilakukan untuk mempercepat koneksi internet baik menggunakan software agar koneksi internet menjadi lebih cepat maupun menggunakan settingan tertentu yang diklaim bisa mempercepat koneksi internet.

Berikut ini adalah beberapa tips yang dapat digunakan untuk mempercepat koneksi internet :
A. Menggubah setting bandwith pada windows (Hanya kami uji pada Windows XP)

Pada dasarnya OS windows sudah membatasi bandwidth untuk koneksi internet sebanyak 20% dari total bandwidth yang seharusnya bisa maksimal, jika netter ingin menambah bandwidth internet supaya koneksinya terasa lebih cepat dan kencang bisa dengan cara mengurangi atau mengosongkan batasan bandwidth tersebut supaya pada Windows kita bisa maksimal dalam menggunakan bandwidth yang sudah ada.

Ikuti petunjuknya seperti dibawah ini :
1. Klik Start
2. Klik Run
3. Ketik gpedit.msc
4. Kemudian klik Ok
5. Setelah masuk klik (buka) Administrative Templates
6. Kemudian klik (buka) Network
7. Setelah terbuka klik QoS Packet scheduler
8. Kemudian klik Limit Reservable Bandwidth
9. Dan setelah terbuka ubah setting menjadi Enable
10. Kemudian ubah Bandwidth Limitnya menjadi 0
11. Klik Apply, dan terus Ok
12. Kemudian keluar dan Restart komputer

B. Pakai browser Google Chrome atau Apple Safari Versi terbaru dari browser Chrome dan Safari sangatlah cepat bila dibandingkan dengan Firefox ataupun Internet Explorer (sudah dicoba dan terbukti memang jauh lebih cepat). Saran saya pakailah Google Chrome karena selain cepat, Chrome lebih aman dibanding dengan Safari, walau dalam beberapa hal Safari kadang lebih cepat dari Chrome. Kalau netter sudah terbiasa memakai Firefox dan tidak ingin beralih ke browser lagi, bisa tambahkan Add-on “Adblock” untuk memblok iklan, gambar, dan flash yang aktif. Ada beberapa Add-on lagi dari Firefox seperti NoScript yang bisa mempercepat akses internet, tapi sayangnya kalau kebanyakan Add-on justru, kadang malah memperlambat akses dari browser Firefox sendiri.

C. Perbesar cache browser hingga 5% dari kapasitas Harddisk atau 1 – 2 GB Cara ini terbukti efektif untuk mempercepat akses browser. Logikanya adalah browser tidak perlu tiap kali loading gambar dan tetek bengeknya segala setiap kali berkunjung ke situs yang sudah pernah dikunjungi, karena kalau situs sudah pernah dikunjungi akan otomatis di-cache oleh browser. Cara ini hanya berlaku jika kapasitas harddisk netter cukup besar. Pada umumnya masing-masing browser ada yang bisa diset kapasitas cachenya, ada yang otomatis. Jika browser netter tidak ada pilihan set cache, artinya netter jangan sering-sering (atau tidak perlu) clear history di browser.

Sumber : Ketok.com