Word problems

If we entertain the thought that math is a language, then there must be a way to translate word problems into the mathematical language.

Contents

Arithmetics

⋅\cdot is multiplication.

mathwords
==is; are; is equal to; same as; has; have;
k⋅k \cdotkk times (as); kk-fold; scale by;
2⋅2 \cdottwice (as);
3⋅3 \cdotthree times (as);
k+k +kk more than
−k+-k +kk less than

Example: Five times a number is three less than twice the same number.

wordsmath
Five times5⋅5\cdot
A numberxx
Is==
Three less than−3+-3 +
Twice2⋅2\cdot
The same numberxx
5x=−3+2x5x = -3 + 2x

Parity

For integer nn:

mathwords
2n2neven numbers
2n+12n + 1, or 2n−12n - 1odd numbers,
n,n+1,n+2,…n, n+1, n+2, \dotsconsecutive integers
2n,2n+2,2n+4,…2n, 2n+2, 2n+4, \dotsconsecutive even numbers
2n+1,2n+3,2n+5,…2n+1, 2n+3, 2n+5, \dotsconsecutive odd numbers