Year 9

Year 9

# Solving word problems

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## Lesson details

### Key learning points

1. 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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## Worksheet

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## Starter quiz

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### 5 Questions

Q1.
x+y=6. Multiply this equation by 3.
Correct answer: 3x+3y=18
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
Correct answer: 5x+5y=15 AND 14x-7y=35
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
Correct answer: Option 2
Option 3
Option 4
Q4.
2x+5y=9 AND 5x+4y=14. Solve the simultaneous equations.
x=2
Correct answer: x=2 and y=1
y=3 and x=-2
Q5.
10x+5y=5 AND 3x-5y=34. Solve the simultaneous equations.
x=1 and y = -1
x=3
Correct answer: x=3 and y = -5