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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 = 9
2x + y = 7

x= y= Correct Wrong

3x + 2y = 15
3x + 3y = 18

x= y= Correct Wrong

3a + 4b = 47
a + 4b = 37

a= b= Correct Wrong

2c + 3d = 22
2c + 2d = 18

c= d= Correct Wrong

e − 3f = -3
-4e + 3f = -6

e= f= Correct Wrong

g + 7h = -12
-7g + 7h = -28

g= h= Correct Wrong

2j + 2k = -4
2j − 2k = -12

j= k= Correct Wrong

-4m + 9n = -53
m − 9n = 47

m= n= Correct Wrong

6p − 2q = -30
-6p − 2q = 54

p= q= Correct Wrong

-11r − 11s = 44
11r − 9s = -144

r= s= Correct Wrong

6u + v = 27
-6u − 3v = -9

u= v= Correct Wrong

7w + 9z = -112
-7w + 6z = 7

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

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.

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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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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

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.

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