Why equations and inequalities trip up so many South African students
Your child follows the lesson but loses marks at home. The cause is usually a gap underneath, not the equation itself.
Your child can follow the teacher's example in class. Then they sit down to solve 3x + 5 = 20 at home, and somehow end up with an answer that makes no sense. Or worse, they stare at the page and don't know where to start. If this sounds familiar, you are not alone: solving equations and inequalities is one of the most common places where South African learners start losing marks in maths.
The good news is that the problems are predictable, which means they can be fixed. Here is why these topics are so tricky and what parents can do about it.
Why equations feel so different from earlier maths
Up to Grade 5 or 6, most maths questions ask for an answer: what is 7 × 8? What is a quarter of 40? From the senior phase onwards, CAPS maths shifts from calculating to reasoning. Learners must understand that an equation is a balance, and that whatever happens to one side must happen to the other.
Many children never make this shift. They memorise steps such as "move it across and change the sign" without understanding why it works. That approach holds up for simple questions but collapses when the equation gets longer, includes brackets, or has the unknown on both sides.
The mistakes we see again and again
- Doing the operation to one side only. Subtracting 5 from the left but forgetting the right.
- Sign errors with negatives. Moving a term across and forgetting to change its sign, or mishandling a minus before a bracket.
- Forgetting to flip the inequality sign. When you multiply or divide both sides by a negative number, the sign must reverse. This single rule costs learners marks from Grade 8 right through to matric.
- Stopping too early. Finding 2x = 10 and writing x = 2 or leaving it unfinished.
- Not checking the answer. Substituting back takes thirty seconds and catches most errors.
Notice that most of these are not "equation" problems at all. They are gaps in integers, order of operations, fractions, or basic number facts. A learner who is shaky on negative numbers from Grade 7 will struggle with every inequality that follows.
Why inequalities add another layer
Inequalities look like equations, but the answer is a range of values rather than one number. Learners must also represent solutions on a number line and in interval notation. By Grade 10 and 11, inequalities appear inside quadratics and functions, so a weak foundation shows up again and again.
South African exam papers love to test this because it reveals whether a learner truly understands the rules or only copied them. A question that asks for the solution set of -2x + 3 < 11 separates the two groups quickly.
How parents can help, even without a maths background
You do not need to solve the equations yourself. What helps most is changing how your child practises.
First, ask them to explain each step out loud. If they say "because we do the same to both sides", the understanding is there. If they say "because the teacher said so", it is not yet.
Second, insist on checking. Substituting the answer back into the original equation builds the habit of self-correction and removes much of the anxiety around being wrong.
Third, look for the gap beneath the gap. If your child keeps making sign errors, the real issue may be integers, and more equation practice will not solve it.
This is where Equals2 helps. The app at equals2.co.za tracks your child's performance, identifies which topics are weak, and serves targeted practice on exactly those areas. Because it lets learners go back one or more grades or terms, a Grade 9 child struggling with inequalities can quietly revisit integers and basic algebra without feeling embarrassed. A new feature coming soon will also let students request extra questions on the specific topic they are studying right now.
A simple weekly plan
Short and regular beats long and rare. Aim for three sessions of 15 to 20 minutes a week: start with five minutes on a foundational skill such as integers, then move to five or six equations or inequalities at the right level, and finish by having your child check every answer. Within a few weeks, most learners become noticeably faster and more confident.
Final thoughts
Equations and inequalities are not a sign that your child "can't do algebra". They are a signal that one or two earlier building blocks need attention. Find the block, strengthen it, and the rest follows.