Algebra

Worked examples (5)

• 1Collecting like terms with powers
• 2Multiplying two terms
• 3Multiplying terms with the same letter
• 4Dividing algebraic terms
• 5Expand and simplify a challenge

Worked examples (5)

• 1Substituting positive numbers
• 2Substituting a negative number
• 3Substituting into a squared term
• 4Writing a formula from words
• 5Using a formula with a negative value

Worked examples (5)

• 1Expanding a single bracket
• 2Expanding with a negative outside
• 3Expanding and simplifying two brackets
• 4Factorising by taking out a common factor
• 5Factorising with a letter in the common factor

Worked examples (5)

• 1Solving an equation with a bracket
• 2Unknown on both sides
• 3A bracket and the unknown on both sides
• 4Solving an inequality
• 5Inequality with the unknown on both sides

Worked examples (5)

• 1Finding the nth-term rule
• 2Using the rule to find a term
• 3An nth-term rule for a decreasing sequence
• 4Is a number in the sequence?
• 5Spotting a non-linear sequence

Worked examples (5)

• 1Plotting a line from its equation
• 2Finding the gradient of a line
• 3Reading gradient and intercept from an equation
• 4Writing the equation of a line from a graph
• 5Interpreting a real-world graph

Worked examples (5)

• 1Simplifying an algebraic fraction
• 2Adding fractions with the same denominator
• 3Multiplying algebraic fractions
• 4Dividing algebraic fractions
• 5Subtracting fractions with different denominators

Worked examples (5)

• 1Solving a direct proportion problem
• 2Recognising proportion from a table
• 3Solving an inverse proportion problem
• 4Recognising proportion from a graph
• 5Choosing the right type of proportion