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Year 10 Interactive Maths - Second Edition


Substitution

If a formula is given and the values of all but one of the variables in the formula are known, the value of the remaining variable can be evaluated by substituting the known values.


Example 45

The adult dose, A, of a certain drug is 0.8 grams. If the adult dose, the child dose, C, and the child's age, n, in years is given by the formula C = An / (n + 2), determine a suitable dose for a child of 6 years.

Solution:

C = An / (n + 2) ...(1), A = 0.8, n = 6, C = ? Substituting for A and N in (1) gives C = 0.6. So the child's dose is 0.6 grams.


Key Terms

substitution

 

Study Another Topic in Chapter 2: Linear Equations and Inequalities

[ Solving Equations ] [ Equations Involving Two or More Operations ] [ Equations Containing Brackets ] [ Equations Containing Fractions ] [ Problem Solving ] [ Consecutive Numbers ] [ Solving Inequalities ] [ Adding a Number to Each Side of an Inequality ] [ Multiplying Each Side of an Inequality by a Positive Number ] [ Dividing Each Side of an Inequality by a Positive Number ] [ Multiplying Each Side of an Inequality by a Negative Number ] [ Dividing Each Side of an Inequality by a Negative Number ] [ Inequalities Involving Two Operations ] [ Inequalities Containing Brackets ] [ Inequalities Containing Fractions ] [ Transposition of Formulas ] [ Transpositions Involving Subtraction ] [ Transpositions Involving Division ] [ Transpositions Involving Multiplication ] [ Transpositions Involving Squares ] [ Transpositions Involving Square Roots ] [ Transpositions Involving Brackets ] [ Transpositions Involving Fractions ] [ Transpositions Involving Two or More Operations ] [ Subject Occurring Twice ] [ Substitution ] [ Problem Solving ] [ Problem Solving Unit ] [ Symbols ] [ Index ]

 
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