Topic 8 · Number & Algebra
Equations & Inequalities
Building and solving linear equations, inequalities, gradients and simultaneous equations.
By the end of this topic you can…
- Construct and solve a linear equation from a problem
- Solve an equation with the unknown in the denominator
- Solve and represent a linear inequality
- Find the gradient of a line from two points
- Solve a pair of simultaneous equations
Lessons
- Constructing and Solving Linear Equations The balance method for equations with brackets and unknowns on both sides, and turning word problems into equations.
- The Unknown in the Denominator Solving equations such as and by multiplying both sides by the denominator.
- Linear Inequalities Solving inequalities like equations, reversing the sign when multiplying or dividing by a negative, and showing solutions on a number line.
- Linear Functions in Two Variables Reading the gradient and intercept from , and finding the gradient of the line through two points.
- Simultaneous Equations Solving pairs of equations by elimination — adding, subtracting, and multiplying first when the coefficients do not match.
Equations and inequalities quiz
Twelve questions drawn at random from a bank of sixteen, covering linear equations, the unknown in the denominator, inequalities, gradients and simultaneous equations.
12 questions · pass mark 70%