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 Description Help More

This is level 1; Equations that can be added or subtracted to eliminate one variable. You can earn a trophy if you get at least 9 correct. Show all of your working in your exercise book.

3x + y = 26
2x + y = 20

x= y= Correct Wrong

2x + 3y = 18
2x − 3y = 6

x= y= Correct Wrong

a + 3b = 18
2a + 3b = 21

a= b= Correct Wrong

c + 2d = 18
c + 4d = 28

c= d= Correct Wrong

3e − 5f = 5
-3e − 5f = -25

e= f= Correct Wrong

3g + 7h = -20
-3g + 6h = -45

g= h= Correct Wrong

-8j − 7k = -70
8j − 7k = 42

j= k= Correct Wrong

-7m − 2n = 33
7m − 7n = 21

m= n= Correct Wrong

10p − 8q = -16
-6p − 8q = 48

p= q= Correct Wrong

-2r − 4s = 26
3r − 4s = 11

r= s= Correct Wrong

3u − 2v = -6
3u − 4v = 6

u= v= Correct Wrong

5w − 3z = 31
-10w + 3z = -71

w= z= Correct Wrong

Check

This is Simultaneous Equations level 1. You can also try:
Level 2 Level 3 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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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 - Mixed

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.

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