Solve the simultaneous equations.
You must show all your working.
.................................
.................................
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Syllabus Edition
First teaching 2021
Last exams 2024
Solve the simultaneous equations.
You must show all your working.
.................................
.................................
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Esme buys magazines at $2.45 each and y cards at $3.15 each.
Write down an expression, in terms of and , for the total cost, in dollars, of the magazines and the cards.
$ ...................................................Â
Esme spends $60.55 in total.
She buys 8 magazines.
How many cards does she buy?
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Solve the simultaneous equations.
You must show all your working.
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Solve the simultaneous equations.
You must show all your working.
                 Â
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Solve the simultaneous equations.
You must show all your working.
....................Â
....................Â
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Solve the simultaneous equations.
You must show all your working.
............................Â
............................Â
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Solve the simultaneous equations.
You must show all your working.
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Solve the simultaneous equations.
You must show all your working.
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The equations of two straight lines are and .
Use algebra to solve these two simultaneous equations to find the co-ordinates of the point where the lines meet.
You must show all your working.
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Solve the simultaneous equations.
You must show all your working.
........................... Â
........................... Â
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Solve the simultaneous equations.
You must show all your working.
....................Â
....................Â
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Solve the simultaneous equations.
 You must show all your working.
.............................Â
.............................Â
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Beindu goes to the market to buy apples and bananas.
She can buy
or
Apples cost cents each and bananas cost cents each.
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A shop sells pens and notebooks.
The cost of a pen is cents and the cost of a notebook is cents.
On Monday, the shop sells 5 pens and 4 notebooks for 450 cents.
Complete the equation.
..................
On Tuesday, the shop sells 10 pens and 3 notebooks for 525 cents.
Write this information as an equation.
................................................ = .........................
Solve your two equations to find the cost of a pen and the cost of a notebook.
You must show all your working.
Cost of a pen = ...................................... cents
Cost of a notebook = ...................................... cents
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A minibus can be hired from Dhruv’s Minibuses.
The cost is $h per hour plus $p per passenger.
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The Fraser family and the Singh family go to the cinema.
The Fraser family buys 6 adult tickets and 2 child tickets for $124.
The Singh family buys 3 adult tickets and 5 child tickets for $100.
Find the price of an adult ticket and the price of a child ticket.
Adult ticket $ .................................................
Child ticket $ .................................................
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A plant costs dollars and a bush costs dollars.
Ana buys 2 plants and 4 bushes for $42.
Paola buys 7 plants and 9 bushes for $107.
Write down a pair of simultaneous equations and solve them to find the value of and the value of .
You must show all your working.
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Alphonse is years old and Beatrice is y years old.
Three times Alphonse’s age is equal to 5 times Beatrice’s age.
Twice Beatrice’s age is 4 years more than Alphonse’s age.
Find the age of Alphonse and the age of Beatrice.
Alphonse .................................. years old  Â
Beatrice .................................. years old [3]
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Rio and Chi go to a fruit shop.
Rio buys 4 apples and 2 plums for $1.96 .
Chi buys 7 apples and 3 plums for $3.24 .
Write down a pair of simultaneous equations and solve them to find the cost of 1 apple and the cost of 1 plum.
You must show all your working.
Apple $ ................................Â
Plum $ ..............................Â
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Des thinks of two numbers.
The sum of his two numbers is -6.
The difference between his two numbers is 62.
Find the two numbers.
..................... and .....................Â
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