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Words and Concepts

Use the concepts and vocabulary of expressions, equations, inequalities, terms and factors.
Words Activity Definitions More Vocabulary More Algebra

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 Correct Wrong on the white board.

8x - 4 = 12

Sam could see that the Correct Wrong on the left side of the equals sign had two Correct Wrong which had a common Correct Wrong . He could think of two ways of solving this Correct Wrong . 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 Correct Wrong . He remembered that multiplying both sides by a negative number would have the effect of reversing the Correct Wrong sign but that is all he could remember.

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

8x > 16

"Now divide both sides by the common Correct Wrong 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.
Why am I learning this?

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 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School:

"Really good site. Lots of good ideas for starters. Use it most of the time in KS3."

Comment recorded on the 25 June 'Starter of the Day' page by Inger.kisby@herts and essex.herts.sch.uk, :

"We all love your starters. It is so good to have such a collection. We use them for all age groups and abilities. Have particularly enjoyed KIM's game, as we have not used that for Mathematics before. Keep up the good work and thank you very much
Best wishes from Inger Kisby"

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Featured Activity

Bidmaze

Bidmaze

Find your way through the maze encountering mathematical operations in the correct order to achieve the given total. This is an addictive challenge that begins easy but develops into quite a difficult puzzle.

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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.

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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.

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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.

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