Algebra Maths Games by Topic – From Mangahigh.com

Prodigi

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: Algebra

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Simplifying algebra
Simplifying algebra
- Add and subtract terms with single letters
- Add and subtract terms with multiple letters
- Multiply terms
- Multiply a bracket by a number
- Multiply a bracket by a term
- Expand sets of single brackets
- Expand sets of single brackets with indices
- Multiply two brackets together
- Multiply two linear brackets together
- Multiply any two brackets together
Algebraic fractions
Algebraic fractions
- Simplify algebraic fractions
- Multiply and divide algebraic fractions
- Multiply and divide algebraic fractions using factorising
- Add and subtract algebraic fractions
- Add and subtract algebraic fractions using factorising
Factorising
Factorising
- Factorise using a common term
- Factorise using a common bracket
- Factorise quadratics in form x² + bx + c
- Factorise quadratics in form ax² + bx + c
- Factorise x² - b² using the difference of two squares
- Factorise a²x² - b² using the difference of two squares
- Factorise 4 terms into 2 brackets
Forming algebra
Forming algebra
- Form an expression or formula
- Form an equation
- Form equations with indices
- Form complex equations with indices
- Equations, formulae, functions, expressions & identities
- Use identities to solve problems
Substituting values
Substituting values
- Substitute whole numbers into algebra
- Substitute whole numbers into algebra using indices
- Substitute positives & negatives into algebra using indices
- Substitute any number into algebra
- Derive results using algebraic substitution
- Number machines
Solving linear equations
Solving linear equations
- Introducing equations
- Solve linear equations
- Solve linear equations involving negatives
- Solve linear equations involving brackets
- Solve linear equations with an unknown on both sides
- Solve linear equations involving fractions and decimals
Solving quadratics (factorising)
Solving quadratics (factorising)
- Solve quadratics with 2 terms
- Solve quadratics by factorising - coefficient of x² equals 1
- Solve quadratics by factorising - coefficient of x² more than 1
Solve quadratics using the formula
Solve quadratics using the formula
- Solve quadratics by using the quadratic formula
Completing the square
Completing the square
- Completing the square
- Completing the square - coefficient of x² more than 1
- Use the completed square
Solve equations by rearranging
Solve equations by rearranging
- Solve equations by rearranging
Inequalities
Inequalities
- Inequalities
- Two inequality signs
- Inequalities on a number line
- Inequalities on graphs
Simultaneous equations
Simultaneous equations
- Solve simultaneous equations - straight line graphs
- Solve simultaneous equations - elimination method
- Solve simultaneous equations - substitution method
- Solve simultaneous equations - curved graphs
- Forming simultaneous equations
Rearranging formulae
Rearranging formulae
- Rearrange formulae
- Rearrange formulae with indices
- Rearrange formulae where the subject appears more than once
Trial and improvement
Trial and improvement
- Trial and improvement
Coordinates
Coordinates
- Coordinates
- Coordinates in 4 quadrants
- Midpoints
Straight line graphs
Straight line graphs
- Recognise common straight line graphs
- Draw straight line graphs
- Draw straight line graphs using y = mx + c
- Draw straight lines using implicit equations
- Test to see if a point is on a line
- Find the gradient of a line using its graph
- Find the gradient of a line using its equation
- Find the equation of a line from a graph
- Find the equation of a line given the gradient and a point
- Use patterns in coordinates to find the equation of a line
- Find the x and y intercepts of lines
- Find the gradient and y intercept from the equation of a line
- Match together equations and lines
- Equations of parallel lines
- Equations of perpendicular lines
- Real life straight line graphs
Curves
Curves
- Recognise the equations of common curves
- Drawing quadratic curves
- Drawing curves
- Test to see if a point is on a curve
- Find the equation of a curve
- Find the x and y intercepts of curves
- Exponential graphs
- Trigonometric graphs
- Circle equations
Solving equations using graphs
Solving equations using graphs
- Use graphs to solve equations
- Use graphs to solve trigonometric equations
Graphical transformations
Graphical transformations
- Translate graphs vertically
- Translate graphs horizontally
- Reflect graphs
- Stretch graphs in the y direction
- Stretch graphs in the x direction
Sequences
Sequences
- The term to term rule
- Find the nth term of a linear sequence
- Find the nth term of a non-linear sequence
- Use nth term to generate linear sequences
- Use nth term to generate sequences
- Use the nth term to solve problems
- Patterns and linear rules
- Patterns and non-linear rules
Sketch graphs
Sketch graphs
- Sketch graphs - filling containers
Proportionality equations
Proportionality equations
- Direct proportion
- Inverse proportion
Using algebra
Using algebra
- Explain relationships between numbers
- Use < > and =
Understanding coordinates
Understanding coordinates
- Coordinates
- Coordinates in 4 quadrants
Algebra and sequences
Algebra and sequences
- Recognise number patterns and relationships
- Test a general statement using numbers