# Words and Concepts

## Use the concepts and vocabulary of expressions, equations, inequalities, terms and factors.

### Fill in the missing words:

It was Monday morning and Sam sat down at his normal desk in the classroom. The teacher, Miss Tayke, wrote out the following on the white board.

8x - 4 = 12

Sam could see that the on the left side of the equals sign had two which had a common . He could think of two ways of solving this . He could add 4 to both sides or he could factorise the left side.

All of a sudden the teacher exclaimed "Gosh! I've made a mistake. What I should have witten on the board was..."

8x - 4 > 12

Sam wondered how he should solve this . He remembered that multiplying both sides by a negative number would have the effect of reversing the sign but that is all he could remember.

Miss Tayke reassured that class by saying that this can be solved in the same way you would solve a simple .
"Adding four to both sides gives...".

8x > 16

"Now divide both sides by the common of 8 to produce this solution."

x > 2

Sam could now see that any value of x bigger than 2 would satisfy the inequality that Miss Tayke had written on the board.

Check

## Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

## Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

## More Activities:

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 8 May 'Starter of the Day' page by Mr Smith, West Sussex, UK:

"I am an NQT and have only just discovered this website. I nearly wet my pants with joy.
To the creator of this website and all of those teachers who have contributed to it, I would like to say a big THANK YOU!!! :)."

Comment recorded on the 3 October 'Starter of the Day' page by Mrs Johnstone, 7Je:

"I think this is a brilliant website as all the students enjoy doing the puzzles and it is a brilliant way to start a lesson."

#### Great Expectation

An interactive online activity requiring logical thinking and a certain amount of luck. Numbers 1 to 6 are presented randomly and are to be used to produce two 2-digit numbers. Can you ensure that the first number is greater than the second?

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

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## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

## Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

## Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

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## Definitions

Here are definitions of the words used in this activity.

### Expression

A variable, function, or some combination of constants, variables or functions.

### Term

One of the parts composing an expression.

### Equation

A statement asserting the equality of two expressions that are separated into left and right sides and joined by an equal sign.

### Inequality

A statement that two quantities are unequal indicated by the symbol by the symbol < signifying that the first quantity is less than the second, or by the symbol > signifying that the second quantity is greater than the first.

### Factor

One of two or more terms whose product is another term or expression.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you donâ€™t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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