Secondary 4 Math Equations and Inequalities — Unit Notes
Every definition, theorem and method this unit expects you to know, stated once each and written to be revised from: 2 definitions, 4 theorems and 8 methods, 10 worked examples, 5 diagrams, in 14 printable pages. This page lists what the notes cover. The notes themselves come with the Secondary 4 Math bundle.
Unit notes — in the bundle
Not sold separately. The practice worksheet for this unit is free, with no email and no account.
Equations and Inequalities — what the notes cover
8 sections, in the order the unit is taught. Each entry below is the title of a definition, a theorem or a method the notes state in full.
Also in this section: 1 note on method and common errors.
What you need
Also in this section: 1 note on method and common errors.
First-degree inequalities
- Theorem — What keeps an inequality and what reverses it
- Method — Solving a first-degree inequality
Also in this section: 1 worked example, 1 note on method and common errors.
Second-degree equations and inequalities
- Theorem — The zero-product property
- Method — Three routes to a quadratic equation
- Method — Quadratic inequalities
Also in this section: 2 worked examples, 1 note on method and common errors, 1 diagram.
Square root equations and inequalities
- Method — Solving a square root equation
- Definition — Extraneous root
- Method — Solving a square root inequality
Also in this section: 2 worked examples, 1 note on method and common errors, 1 diagram.
Exponential and logarithmic equations
- Theorem — Equal powers, and unequal ones
- Method — Exponential equations
- Method — Logarithmic equations
Also in this section: 3 worked examples, 1 note on method and common errors.
Greatest integer equations
- Definition — Greatest integer function
- Theorem — Solving a greatest integer equation
Also in this section: 1 worked example, 1 note on method and common errors, 1 diagram.
Representing solution sets
- Method — Representing an inequality in two variables
Also in this section: 1 worked example, 1 note on method and common errors, 2 diagrams.
Choosing a method
Also in this section: 1 note on method and common errors.
Where the notes are
The notes are one of the documents in the Secondary 4 Math Solutions Bundle, beside the unit test, the challenge problems and every worked answer key. The Equations and Inequalities practice worksheet is free and stays free.
Every Secondary 4 Math topic — the complete Solutions Bundle
One download, one payment, the whole program. For all 17 Secondary 4 Math units: the worksheet, the reference notes, the challenge set, the unit test and every answer key — these notes included.
- Worked solutions, not answer lists — every step written out
- Covers the whole year's program at this level
- Less than the price of one hour of tutoring — for the entire year's solutions
Practise it, then test yourself
Notes on their own do not make anything stick. This unit has a free, printable practice worksheet, and an end-of-unit test that comes with the bundle.
Equations and Inequalities practice worksheet About the Equations and Inequalities unit test