The subject of an equation/a formula is a variable that is expressed in terms of other variables. It should have an exponent of 1 and a coefficient of 1

Changing the subject where the variable appears in multiple terms

Maths

Checking and securing understanding of solving with simple algebraic fractions

Simplifying algebraic fractions

Operations with algebraic fractions

Solving equations with algebraic fractions

Checking and securing understanding of changing the subject with simple algebraic fractions

Changing the subject with multiple algebraic fractions

Problem solving with advanced algebraic fractions

The functions unit requires pupils to write composite functions and pupils will need to draw on their understanding of how to manipulate various algebraic expressions and equations, including algebraic fractions.

In the prior unit, pupils explored various ways to manipulate and solve various equations and formulae. In this unit, pupils apply these skills to algebraic fractions in order to change the subject and manipulate the algebraic fraction.

In this unit, pupils apply skills in manupulating and solving various equations and formulae to algebraic fractions in order to change the subject and manipulate them.

Algebraic fractions

What is the most efficient first step to make $$x$$ the subject of $$ax + b = 2x + c$$?

What is the most efficient next step to make $$x$$ the subject of $$ax-2x = c-b$$ ?

Make $$a$$ the subject of $$a(b+c)=3+4(a+2b)$$.

Make $$r$$ the subject of $$p = \frac{r+5}{r+q}$$.

What would be the most efficient first step to make $$a$$ the subject of $$\frac{8a+4b}{6a+3b}+\frac{a+1}{3a+3b}=b$$ ?

Make $$a$$ the subject of $$\frac{4(2a+b)}{3(2a+b)}+\frac{a+1}{3(a+b)}=b$$.

Shown is the formula for the perimeter of a rectangle. Make $$b$$ the subject.

Make $$z$$ the subject of $$\frac{4}{x} +\frac{2}{y} = \frac{3}{z}$$.

Simplify $$\frac{3x-12}{2x-6} + \frac{x}{3x-9}$$

Changing the subject where the variable appears in multiple terms

Lesson outcome