Common SAT Math Algebra Mistakes

Many SAT Math points are lost not because students don't know algebra, but because of careless errors. Here are the most common algebra mistakes and how to avoid them.

1. Sign Errors

The #1 algebra mistake: losing track of negative signs. When distributing a negative, every term inside the parentheses changes sign. When subtracting, you're adding a negative. Write out every step until this becomes automatic.

2. Distribution Errors

When you see 2(x + 3), remember to multiply both terms: 2x + 6, not 2x + 3. This seems obvious, but under time pressure it's an easy slip. The SAT often includes trap answers that match common distribution errors.

3. Equation vs. Expression Confusion

An equation has an equals sign; an expression doesn't. You can add the same thing to both sides of an equation, but you can only simplify an expression. Make sure you know what the question is asking for.

4. Solving for the Wrong Variable

The SAT loves to ask for something like "3x" instead of "x". You correctly find x = 4, but the answer is 12. Always re-read the question after solving to make sure you're answering what was asked.

5. Fraction Arithmetic

When adding fractions, you need a common denominator. When multiplying, you don't. When dividing, flip the second fraction and multiply. These rules are simple but easy to confuse under pressure.

How to Fix These Mistakes

Practice slowly and deliberately. When you make an error, identify exactly which step went wrong. Keep an "error log" of your mistakes and review it before practice sessions.

Practice SAT Math with Lyceon – our AI tutor explains each solution step by step so you can catch and correct your error patterns.