"They're just not getting algebra" almost always turns out to be more specific than that once you look closely. Algebra isn't one skill — it's built in layers, and a wobble in an early layer quietly breaks everything built on top of it. Here's how to find the actual sticking point.
First: is it the idea of a letter standing for a number?
This sounds too basic to check, but it's the single most common root cause. If a student can solve "what number plus 5 equals 12" but freezes the moment it's written as x + 5 = 12, the issue isn't algebra technique at all — it's that x hasn't yet clicked as "a number we don't know yet," and instead reads as a mysterious symbol with its own separate rules. Test this directly: ask them to explain, in their own words, what x means in that equation. If they can't, go back here before anything else.
Second: is it the mechanics of solving equations?
If the concept is solid but mistakes creep in during multi-step equations, watch for two very specific, very common errors:
- Sign errors when moving terms across the equals sign. Forgetting that +5 becomes −5 when it crosses over is responsible for a huge fraction of wrong answers that have nothing to do with understanding — it's a mechanical slip, and it's fixable with deliberate, slow practice of just that one step in isolation.
- Doing operations in the wrong order, especially with brackets — expanding 3(x + 4) as 3x + 4 instead of 3x + 12 is another near-universal early mistake.
Neither of these means algebra "isn't clicking." They mean one specific mechanical step needs isolated practice, separate from full problems, until it stops needing conscious thought.
Third: is it translating a word problem into an equation?
Plenty of students can solve x + 5 = 12 instantly but stall completely when the same problem is dressed up in words. This is a genuinely different skill — reading a sentence and deciding what the unknown is, what operation connects it to the known numbers, and how to write that down. It needs its own practice, not just "more algebra," and it's usually the last layer to click, not the first.
What actually helps
Isolate which of the three this is before assigning more practice — more of the wrong kind of practice just reinforces the same gap. And resist correcting the answer directly; asking "what happened to that +5" or "what does x mean here" gets a student to find their own mistake, which is the version that actually sticks.