Substitute means to put in place of another.  In Algebra, substitution can be used to replace variables with values.

Substituting particular values

Maths

Checking understanding of expressions and equations

Securing understanding of expressions and equations

Representing a generalised number

Algebraic notation

Algebraic terminology

Representing an unknown or variable

Generalised algebraic statements

Like terms

Simplifying by collecting like terms

Multiplying an expression by a constant

Multiplying an expression by a term

Multiplying and simplifying with multiple expressions

Simplifying before multiplying with multiple expressions

Highest common factor with algebraic terms

Factorising expressions

Problem solving with expressions and equations

In this unit, pupils formalise algebraic notation and terms and begin to formulate an understanding of basic algebraic manipulation. This understanding is built upon in the future unit where pupils learn how to solve linear equations

In this unit, pupils learnt how to represent the structure of a problem with two unknowns using a diagram. This understanding is built upon in this unit and formalised

In this unit, pupils learn about generalisation and formal algebraic manipulation techniques such as substitution, collecting like terms and factorising.

Expressions and equations

To evaluate an expression for a given value of its variable we can {{}} the value in place of the variable

Match up the expressions with their value when $$r=7$$

For what value of $$y$$ does $$3y$$ have the same value as $$y+6$$? $$y=$${{}}

For which values of $$y$$ is $$y^2-3$$ smaller than $$y$$?

For the values of $$a, b$$ and $$c$$ shown evaluate the expression $$2ab-c$$

For the values of $$a, b$$ and $$c$$ shown evaluate the expression $$(2a)^2-bc$$

Select the correct first step to evaluate $$ 2+3\times 5^2$$

Starting with the first step, put these lines of working in order to show how to evaluate $${25+2\times (2+1)^2\over 10}-4$$

In the equation $$2a+1=5-3a$$, $$5-3a$$ is called an {{}}.

Match up the directed number calculation with the correct value.

Starter Quiz

Calculate $$(-5)^2$$