Improve Competency with MyMathsHero
Equations and inequalities are both mathematical sentences formed by relating two expressions to each other. In an equation the two expressions are deemed equal which is shown by the symbol =. … If the statement is true the number is a solution to the equation or inequality.
In this topic, we cover the following: Linear equations, change of subject of formula, linear inequalities, simultaneous linear equations, quadratic equations, simultaneous linear and quadratic equations and word problems. At the end of this topic, students should understand the following among other things:
- Recall previous knowledge to represent inequalities in one variable on a number line,
- Solve inequalities in one variable and two variables showing required solution sets within an unshaded region on a cartesian graph, solve linear equations, change the subject of a formula, solve linear inequalities and solve simultaneous equations,
- Solve real-life problems involving restrictions using graphical methods (i.e. linear programming),
- Use linear programming to determine maximum and minimum values within a given set of restrictions,
- Solve word problem questions and simultaneous linear equation problems.