Gotcha PrepFree Gotcha SheetFree sheet
Home › SAT traps › Rewrite the base

Rewrite the base: the SAT math trap

Short answer: Write 9 as 3². Then 9x = (3x)². Square, don't double.

The trap, in one question

If 3x = 5, what is the value of 9x?

Tempting answer: 10  (just doubled it)

Correct answer: 25  (9x = (3x)2 = 52)

Watch it in under a minute

How to spot it in 3 seconds

Write 9 as 3². Then 9x = (3x)². Square, don't double.

FAQ

What is the rewrite the base trap on the SAT?

Example: If 3x = 5, what is the value of 9x? The tempting answer is 10 (just doubled it); the correct answer is 25 (9x = (3x)2 = 52).

How do you avoid the rewrite the base trap?

Write 9 as 3². Then 9x = (3x)². Square, don't double.

More Math traps

← Average speed · Dividing by x deletes a solution →

Get all 30 traps on one sheet

The free SAT Gotcha Sheet: 15 math + 15 reading & writing traps, each with the 3-second fix, plus 5 Desmos cheat codes.

Send me the free sheet