A binomial is an algebraic expression representing the sum of exactly two unlike terms.

Problem solving with expressions and formulae

Maths

In this unit, pupils use the distributive law to find the product of two binomials. In algebraic manipulation, pupils use apply this knowledge in order to factorise quadratics.

In the prior unit, pupils learnt how to rearrange an equation to find a specific value that satisfied the equation. In expressions and formulae, pupils use their understanding of rearrangement to change the subject of a formula.

Expressions and formulae

What do you call a shape which is created using two or more basic shapes?

Which of these is an expression for the area of this rectangle?

Which of these is an expression for the area of this triangle?

Find an expression for the horizontal length marked with a '?' on this compound shape.

Which of these is an expression for the area of this compound shape?

All the length marked on this diagram are in centimetres. The area of the shaded part of this shape is 102 cm². The value of $$x$$ is {{}}.

All the lengths in the diagram are given in centimetres. Which calculation will find the area of the rectangle?

Select the expression that is equivalent to $${1\over2}(6x -2)$$.

All the lengths in the diagram are given in centimetres. The area of the triangle is {{}}cm².

All the lengths in the diagram are given in metres. The area of the trapezium is {{}}m².

Match each product of two binomials to its expanded form. 

Which of these is the correct expansion of $$(4x + 3)^2$$ ?

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