Police exam.

[Mao]

Lemme give you some copypasta advice for the math problems

Addition -
-increased by
-more than
-combined
-together
-total of
-sum
-added to

Subtraction
-decreased by
-minus
-less
-difference between/of
-less than
-fewer than

Multiplication
-of
-times
-multiplied by
-product of
-increased/decreased by a
factor of (this type can
involve both addition or
subtraction and
multiplication!)

Division
-per
-a
-out of
-ratio of
-quotient of
-percent (divide by 100)

Equals
-is,
-are,
-was,
-were,
-will be
-gives,
-yields
-sold for


Note that "per" means "divided by", as in "I drove 90 miles on three gallons of gas, so I got 30 miles per gallon". Also, "a" sometimes means "divided by", as in "When I tanked up, I paid $12.36 for three gallons, so the gas was $4.12 a gallon".

Warning: The "less than" construction is backwards in the English from what it is in the math. If you need to translate "1.5 less than x", the temptation is to write "1.5 – x". Do not do this! You can see how this is wrong by using this construction in a "real world" situation: Consider the statement, "He makes $1.50 an hour less than me." You do not figure his wage by subtracting your wage from $1.50. Instead, you subtract $1.50 from your wage. So remember; the "less than" construction is backwards.

Also note that order is important in the "quotient/ratio of" and "difference between/of" constructions. If a problems says "the ratio of x and y", it means "x divided by y", not "y divided by x". If the problem says "the difference of x and y", it means "x – y", not "y – x".