Algebra - adding and subtracting

Algebra – Adding and Subtracting

Some students find the topic of algebra daunting when they meet it for the first time, but it needn’t be if they know how to distinguish between like and unlike terms for the purpose of adding and subtracting in algebra.

So…

What is algebra and how do we add and subtract algebraic terms?

Algebra is a topic in mathematics in which letters and other symbols are used to represent numbers. In this blog, letter symbols are used to explain how we add and subtract algebraic terms.

Key points to remember when adding and subtracting algebraic terms.

  • A term contains a number, a letter symbol or a product of both. Example, 7, x and 7x are three terms. 7 is a number term, x is a letter term and 7x is a product of both.
  • A letter term without a number (coefficient) appearing before it means one lot of that letter term. In the example above, the term x can be written as 1x.
  • An expression is a collection of terms with at least one operation. Example, 2x + 3 is an expression. In this expression, we have a letter term 2x, a number term 3 and an operation of adding.
  • We can simplify an expression by adding and/or subtracting like terms.
  • Like terms are letter symbols of the same type. In the first example above, x and 7x are like terms because they both contain the same letter symbol x. Similarly, a2, -5a2 and 3a2 are like terms because they all contain the letter symbol a2.
  • We cannot add or subtract, unlike terms.
  • Unlike terms have different letter symbols or contain a letter symbol and a number. Example, 2x + 3 cannot be simplified by adding the terms together because they are unlike terms – one is a letter term and the other is a number term. Similarly, a, a2, and a3 are all unlike terms because they have different powers – they can’t be added or subtracted.

Now…

How do you simplify an expression?

You can start by rewriting the expression by collecting like terms. You simply write letters of the same type next to each other, then add or subtract them.

read more...
Integer - Multiplying and dividing

Integer – Multiplying and Dividing – Integers

I think you will agree with me when I say some students find it challenging when multiplying and dividing an integer by another integer.

But it needn’t be if you know what they are and how to carry out their multiplication and division efficiently.

So….

What is an integer and how do we multiply and divide them?

Integers are negative and positive numbers, including zero.

….., -5,  -4,  -3,  -2,  -1,  0,  1,  2,  3,  4,  5,  …..

Here are some key points to remember when multiplying integers.

  • Multiplying two integers of the same signs gives a positive answer.
  • Multiplying two integers of different signs gives a negative answer.

Example (1)      4 x 3 = 12                  (4 and 3 are both positive integers)

read more...
Tutors - find a tutor

Find Tutors – For -1-to-1 Tutoring in GCSE and A Level

Increasingly more people are using the internet to find tutors and the results from the search engines provide a vast amount of information that can be overwhelming, but it needn’t be.  I am sure you will agree with me when I say:

The internet has revolutionised the way we interact with others locally, nationally and internationally. People are using the internet frequently to search for services, and, using it to find a tutor is no exception. In fact, anyone can use the internet to find tutors literally at their fingertips.

read more...
Integers - Adding and subtracting

Integers – Adding and Subtracting

When adding and subtracting integers I think you will agree with me when I say:

A lot of students find it difficult – especially the addition and subtraction of negative numbers.

But is it?

I cannot emphasize this enough:

Students with a better understanding of what integers are and know the key points to remember, do better than students who don’t.

In this post, I am going to show you how you can easily add and subtract integers with confidence.

So…

What are integers and how do we add and subtract them?

Integers can be found on a number line. They are negative and positive numbers, including zero.

read more...
Free Online Tutoring

Free Online Tutoring In The UK

Free online tutoring is available if you know how to get it. Hiring a private tutor can be expensive, but you can get the services of tutors online absolutely free.

Here are some tips.

  1. Register for an account on a tutoring website with a question and answer hub.

Use the Q&A hub to get answers to your questions from tutors registered with the site. This facility provides an opportunity for members to seek help with homework and exam questions without incurring a cost.

  1. Register for an account on a website with a special offer.

Some online tuition websites give special offers to encourage potential customers to try before they buy. That may involve the first fifteen to thirty minutes and sometimes up to an hour of online tutoring absolutely free of cost. If there is no special offer advertised on the site, consider emailing the website administrator to inquire if there are any deals for new members.

read more...
Advantages and disadvantages of online tutoring

Online Tutoring – Advantages and Disadvantages

The internet has revolutionized many aspects of modern life, and the education sector is no exemption. When a tutor instructs awareness to a learner via the internet, the practice is called online tutoring, but what are the advantages and disadvantages this practice?

Here are some of the advantages of online tutoring:

1. Working from your choice of venue (anywhere)

This venue is often from the comfort of one’s own home and applies to both the tutor and the learner. It eliminates travel expenses which are costly and time-consuming for either party.

read more...