Find a strategy to figure out the values of the letters used in these calculations.
This is level 5: calculations with a mixed set of clues to help determine their values. You can earn a trophy if you get at least 9 questions correct and you do this activity online.
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Level 1 - Calculations involving two letters where one is a multiple of the other
Level 2 - Calculations involving two letters where the difference between the values of the letters are given
Level 3 - Calculations involving three letters where two of them are different multiples of the third
Level 4 - Calculations involving three letters where the difference between the values of the letters are given
Level 5 - Calculations with a mixed set of clues to help determine their values
More Algebra including lesson Starters, visual aids, investigations and self-marking exercises.
H + J = 12
If J is twice as big as H, Calculate the values of the numbers H and J
J = 2H
Substitute this value for J into the original equation
H + 2H = 12
3H = 12
Divide both sides by 3
H = 4
J = 2H = 2 × 4 = 8
L + M = 11
If M is 3 more than L, Calculate the values of the numbers M and L
M = L + 3
Substitute this value for M into the original equation
L + L + 3 = 11
Subtract 3 from both sides
2L = 8
Divide both sides by 2
L = 4
M = L + 3 = 4 + 3 = 7
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