Find a strategy to figure out the values of the letters used in these calculations.
This is level 4: calculations involving three letters where the difference between the values of the letters are given. You can earn a trophy if you get at least 9 questions correct and you do this activity online.
Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.
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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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