Year 9
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Lesson details
Key learning points
- In this lesson, we will use the techniques learned in this unit using simultaneous equations to investigate and model solutions to word problems.
Licence
This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
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5 Questions
Q1.
x+y=6. Multiply this equation by 3.
3x+3y=6
3x+y=6
x+y=18
Q2.
x+y=3 AND 2x-y=5 This pair of equations has been transformed. Which of the following are equivalent to the original pair?
2x+2y=6 AND 2x+y=5
6x+y=9 AND 10x-5y=25
x+y=7 AND 2x-y=9
Q3.
x+y=3 AND 2x-y=5 This pair of equations has been transformed. Which of the following are equivalent to the original pair?
Option 1
Option 3
Option 4
Q4.
2x+5y=9 AND 5x+4y=14. Solve the simultaneous equations.
x=2
y=3 and x=-2
Q5.
10x+5y=5 AND 3x-5y=34. Solve the simultaneous equations.
x=1 and y = -1
x=3