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 = 14
2x + y = 10

x= y= Correct Wrong

3x + y = 13
x + y = 9

x= y= Correct Wrong

2a + 3b = 35
2a + 4b = 44

a= b= Correct Wrong

4c + d = 29
c + d = 11

c= d= Correct Wrong

-2e + f = -7
4e + f = 23

e= f= Correct Wrong

5g + 7h = -3
g − 7h = -51

g= h= Correct Wrong

5j + 2k = 14
5j − 2k = 26

j= k= Correct Wrong

4m + 2n = 4
-4m − 3n = -12

m= n= Correct Wrong

-10p − 5q = -55
10p + 9q = 67

p= q= Correct Wrong

-r − 9s = 80
11r − 9s = -16

r= s= Correct Wrong

9u − 7v = -62
9uv = -32

u= v= Correct Wrong

6w − 10z = -70
6w + 5z = -10

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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Nim

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A very old game but one which involves mathematical based strategies. Take turns with the computer to remove items from the piles. You can remove as many items from the same row as you like. Whoever removes the last item is the winner.

Answers

There are answers to this exercise but they are only available to teachers who have subscribed to Transum and are currently signed in on this computer.

A Transum subscription unlocks the answers to most of the student online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum topic pages so that teachers can easily find the excellent resources we have found and add to the collection themselves.

Class lists, lesson plans and assessment data can also be stored in the Class Admin application and the teacher also has access to the Transum Trophies earned by class members.

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. Click here for more activities designed for students in upper Secondary/High school.

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 - 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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