Simultaneous Equations

Activities

Simultaneous Shopping
Activity
Find the cost of the individual items in shopping baskets (introduction to simultaneous equations).

Algebra In Action
Activity
Real life problems adapted from an old Mathematics textbook which can be solved using algebra.

Pentadd Quiz
Activity
Find the five numbers which when added or multiplied together in pairs to produce the given sums or products.

Recurring Decimals
Activity
Change recurring decimals into their corresponding fractions and vica versa.

Simultaneous Equations
Activity
A self-marking, multi-level set of exercises on solving pairs of simultaneous equations.

Simultaneous Solutions
Activity
Arrange the given pairs of simultaneous equations in groups to show whether they have no solution, one solution or infinite solutions.

Unbeknownst
Activity
Some picture grid puzzles which can be solved by using simultaneous equations.

Using Graphs
Activity
Use the graphs provided and create your own to solve both simultaneous and quadratic equations.

Window View
Activity
Drag the 20 flowers into the gardens so that 9 flowers are visible from each window of the house.

Investigations

Window View
Activity
Drag the 20 flowers into the gardens so that 9 flowers are visible from each window of the house.

Videos

This is the main Transum help video on Simultaneous Equations.

Simultaneous Equations Video
Activity
Learn to solve simultaneous equations from the very basic to those containing quadratics. This video is to help you do the online, self-marking exercise.

Simultaneous Equations (Elimination)
Activity
This video demonstrates how to solve simultaneous equations by elimination.

Simultaneous Graphs Video
Activity
A short video which explains how to use graphs to solve simultaneous equations.

Starters

Starter
Boxing Day
Work out the contents and the cost of the Christmas boxes from the given clues.

Starter
Light Shopping
A lamp and a bulb together cost 32 pounds. The lamp costs 30 pounds more than the bulb. How much does the bulb cost?

Starter
Oblongs
Find the dimensions of a rectangle given the perimeter and area.

Starter
Pentadd
Five numbers are added together in pairs and the sums shown. What might the five numbers be?

Starter
Planet Numpair
The sum and product are given, can you find the two numbers?

Starter
Rabbits and Chickens
There are some rabbits and chickens in a field. Calculate how many of each given the number of heads and feet.

Starter
Rail Weigh
Use the weights of the trains to work out the weight of a locomotive and a coach. A real situation which produces simultaneous equations.

Starter
Refreshing Revision
It is called Refreshing Revision because every time you refresh the page you get different revision questions.

Starter
Same Same
A problem involving two people's ages which can be solved using algebra.

Starter
Santa's Sleigh
Work out the number of clowns and horses given the number of heads and feet.

Starter
Simultaneous Occasions
A problem which can best be solved as a pair of simultaneous equations.

Starter
Sum of the Signs
Each traffic sign stands for a number. Some of the sums of rows and columns are shown. What numbers might the signs stand for?

Starter
Summer Holidays
How many children and how many donkeys are on the beach? You can work it out from the number of heads and the number of feet!

Starter
Two Numbers
Find the two numbers whose sum and product are given.

27 items are currently in this category.

Teachers might find the complete Simultaneous Equations Topic List useful.

This topic covers simultaneous equations with two different variables. The starters pose real world problems which can be solved using the techniques taught at school or by other intuitive methods.

Though there are many formal strategies for solving simultaneous equations the skill of forming the equations from real life situations is a very important stage in working towards a solution.

Algebraic methods are the most efficient for solving basic simultaneous equations but graphical methods, probably using a graphic display calculator or computer software package, may be more suitable for less standard sets of simultaneous equations.


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