Year 6
Year 6
Finding solutions to problems with two variables
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Lesson details
Key learning points
- In this lesson, we will be discussing how to work systematically to find all possibilities for problems with two variables.
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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4 Questions
Q1.
Which expression would represent the following problem: The cooking time for roast beef is 30 minutes for every kg plus an additional 15 minutes.
a = 500b + 30
Q2.
Which expression would represent the following problem: The cost of a photo album book is £2.50 for binding and printing with an additional cost of 15p per photograph.
a = 250b + 15
Q3.
Which expression would represent the following problem: A singer makes money from selling music. They pay a one-off fee of £25.00 to Oak-Tunes for marketing and distribution costs and receive 55p for each copy of the album sold.
a = 25 + 0.55
a = 2500 + 55a
Q4.
Instead of writing 5 x a in an algebraic expression, what could I write instead?
5 + a
a5
4 Questions
Q1.
3f + g = 15. Which of the following pairs of numbers would work?
f = 2, g = 10
f = 4, g = 2
f = 5, g = 1
Q2.
5a - 2b = 8. Which of the following pairs of numbers would work?
a = 3, b = 2
a = 4, b = 12
a = 5, b = 6
Q3.
3c + 2d = 20. Which pair of numbers does does NOT work with this equation?
c = 2, d = 7
c = 6, d = 1
Q4.
6m - 3n = 15. Which pair of numbers does does NOT work with this equation?
m = 3, n = 1
m = 5, n = 5
m = 7, n = 9