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.

math words
== is; are; is equal to; same as; has; have;
k⋅k \cdot kk times (as); kk-fold; scale by;
2⋅2 \cdot twice (as);
3⋅3 \cdot three 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.

words math
Five times 5⋅5\cdot
A number xx
Is ==
Three less than −3+-3 +
Twice 2⋅2\cdot
The same number xx
5x=−3+2x5x = -3 + 2x

Parity

For integer nn:

math words
2n2n even numbers
2n+12n + 1, or 2n−12n - 1 odd numbers,
n,n+1,n+2,…n, n+1, n+2, \dots consecutive integers
2n,2n+2,2n+4,…2n, 2n+2, 2n+4, \dots consecutive even numbers
2n+1,2n+3,2n+5,…2n+1, 2n+3, 2n+5, \dots consecutive odd numbers
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