Transum Software

Simultaneous Equations

A self marking exercise requiring you to solve a pair of simultaneous equations.

Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Projectable Description Help More

This is level 3; Equations that can be added or subtracted to eliminate one variable after both of the equations have been multiplied by constants. You can earn a trophy if you get at least 9 correct. Show all of your working in your exercise book.

4x + 6y = 66
6x + 4y = 74

x= y= Correct Wrong

4x + 5y = 42
6x + 3y = 36

x= y= Correct Wrong

3a + 6b = 72
5a + 5b = 75

a= b= Correct Wrong

5c + 9d = 99
7c + 7d = 105

c= d= Correct Wrong

-6e − 6f = -60
8e − 4f = 56

e= f= Correct Wrong

-9g − 6h = -111
11g + 5h = 117

g= h= Correct Wrong

-9j + 6k = -72
11j + 4k = -14

j= k= Correct Wrong

3m − 12n = -84
4m + 10n = 44

m= n= Correct Wrong

5p − 11q = 84
-7p − 9q = 102

p= q= Correct Wrong

9r + 12s = 108
-10r + 11s = -47

r= s= Correct Wrong

8u − 12v = 80
-10u + 10v = -90

u= v= Correct Wrong

8w − 15z = -99
9w − 13z = -92

w= z= Correct Wrong

Check

This is Simultaneous Equations level 3. You can also try:
Level 1 Level 2 Level 4 Level 5 Level 6

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.

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Answers

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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.

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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Description of Levels

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Level 1 - Equations that can be added or subtracted to eliminate one variable.

Level 2 - Equations that can be added or subtracted to eliminate one variable after one of the equations has been multiplied by a constant.

Level 3 - Equations that can be added or subtracted to eliminate one variable after both of the equations have been multiplied by constants.

Level 4 - Equations with two variables that are not written in the standard way.

Level 5 - Real life problems that can be solved by writing them as simultaneous equations.

Level 6 - Equations which include fractions in some way.

Extension

There is a printable worksheet to go with this activity. It is an exercise that appeared in an algebra book published in 1895. It starts with basic questions but soon gets tricky!

Worksheet

Example

Simultaneous Equations Example

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.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’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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