An SAT micro-topic explainer. Free to read — no account needed.
On a hard test, many errors are not about not knowing the maths — they are silly mistakes made in a hurry. Knowing the common traps helps you catch them before they cost a mark.
The most frequent slip is answering the wrong quantity. If you solve 2x=10 to get x=5 but the question asks for x+1, the answer is 6, not 5. Always check what the question actually wants before choosing.
Sign and distribution errors are the next most common. Dropping a minus turns −(x−5) into −x−5 instead of the correct −x+5. Distribute across the whole bracket and keep track of every negative as you go.
So the fix is a quick habit: solve, then re-read and sanity-check. Confirm the answer matches the quantity asked, the sign is right, and the size is reasonable. A few seconds of checking saves marks that were never really in doubt.
Worked examples
Solve 3x=12, then give the value of x+4. (A) 4 (B) 8 Solving gives x=4, but the question asks for x+4, not x. So the answer is 4+4=8, which is (B); choosing (A) is the silly-mistake trap.
Simplify −(x−3)+2x. (A) x+3 (B) 3x−3 Distributing the minus gives −x+3, so −x+3+2x=x+3. Dropping the sign would wrongly give 3x−3, so the correct answer is (A).
A rectangle is x cm wide and twice as long. If x=5, what is its perimeter? (A) 15 (B) 30 The length is 10, so the perimeter is 2(5)+2(10)=30; answering 15 would come from forgetting to double or from finding just half. So the correct answer is (B).
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