Download Solving Linear Equations ▪ Transposition of formulae

Workshop: Algebra 2
Topics Covered:
Solving Linear Equations
Transposition of formulae
Solving Linear Equations
When we talk about linear equations we are referring to equations that are in
terms of one variable.
Definition:
A linear equation is an equation that can be written in the form
ax + b = 0
where a and b are real numbers.
Linear equations have one root.
To find the solution of the linear equation, get the variable involved on one
side and all constants on the other side of the equals sign using inverse
operations. The solution can be checked by substituting the value back into
the original equation and making sure that the right hand side equals the left
hand side.
Questions (Solving linear equations):
Solve the following linear equations:
1. 2 + 3x = 23
2. -17 = 16x + 3
3. 9x + 5 = 7x + 3x – 2
4. 5(x – 3) + 4x – 1 = 2x + 3(x – 2)
5.
1
(x + 7 ) = 3x + 9
2
5
Dr. Mundeep Gill
Brunel University
1
Algebra 2
Transposition of formulae
A formula, in mathematics, gives a relationship between different quantities.
When there is more then one, we use the word formulae.
When working with formulae, it may be necessary to single out one of the
quantities involved in terms of all the others. This procedure is often referred
to as transpose the formula and make that quantity the subject of the
equation.
The procedures used to transpose a formula to make a certain quantity the
subject is the same as those used to re-arrange linear equations.
Questions (Transposition of formulae):
In each of the following, transpose the given formula to make the symbol in
brackets the subject of the formula.
1. y = 2(w + h)
(h);
2. m = k a(1 − x )
(x);
3. y = a +
1
1− x
(x);
4. a(3b – 1) = 2b + 2
(b);
5. a =
2 − 7b
3 + 5b
(b);
6. n =
1 r
2L p
(r);
Dr. Mundeep Gill
Brunel University
2