Algebra

Worked examples (5)

• 1Expanding a single bracket
• 2Factorising by a common factor
• 3Expanding two brackets with FOIL
• 4Factorising with a variable in the common factor
• 5Factorising a simple quadratic

Worked examples (5)

• 1Continuing a linear sequence
• 2Writing the nth term of a linear sequence
• 3Checking whether a value is in a sequence
• 4A decreasing linear sequence
• 5A simple quadratic sequence

Worked examples (5)

• 1Identifying coordinates from a grid
• 2Plotting a straight-line graph from a table
• 3Finding the gradient between two points
• 4Writing the equation of a line from its graph
• 5Reading a real-life linear graph

Worked examples (5)

• 1Simplifying a simple algebraic fraction
• 2Simplifying with letters on top and bottom
• 3Multiplying two algebraic fractions
• 4Dividing by an algebraic fraction
• 5Adding algebraic fractions with different denominators

Worked examples (5)

• 1Substituting a positive integer
• 2Substituting a negative number
• 3Substituting into an expression with a power
• 4Using a perimeter formula
• 5Rearranging a formula and using it

Worked examples (5)

• 1Solving a one-step equation
• 2Solving a two-step equation
• 3Solving an inequality and showing it on the number line
• 4An equation with letters on both sides
• 5Solving a pair of simultaneous equations

Worked examples (5)

• 1Collecting like terms in a mixed expression
• 2Expanding a single bracket
• 3Using the index laws with a coefficient
• 4Expanding two brackets and tidying
• 5A mixed stretch problem

Worked examples (5)

• 1Finding the rule for a direct proportion
• 2Finding the rule for an inverse proportion
• 3Deciding direct or inverse from a table
• 4Workers and time — an inverse proportion problem
• 5Reading the constant from a direct proportion graph