Common Word Problem Phrases

Addition

Add, Sum, Total (of parts), More Than: +
The sum of x and y: x + y
The sum of the three funds combined: a + b + c
When fifty is added to his age: a + 50
Six pounds heavier than Dave: D + 6
A group of men and women: m + w
The cost is marked up: c + m

Subtraction

Minus, Difference, Less Than: −
x minus five: x − 5
The difference between Quentin’s and Rachel’s heights (if Quentin is taller): QR
Four pounds less than expected: e − 4
The profit is the revenue minus the cost: P = RC

Multiplication

The product of h and k: h × k
The number of reds times the number of blues: r × b
One-fifth of y: (1/5) × y
n persons have x beads each: total number of beads = nx
Go z miles per hour for t hours: distance = zt miles

Ratios and Division

Quotient, Per, Ratio, Proportion: ÷ or /
Five dollars every two weeks: (5 dollars/2 weeks) → 2.5 dollars a week
The ratio of x to y: x/y
The proportion of girls to boys: g/b

Average or Mean 

(sum of terms divided by the total number of terms)
The average of a and b:

The average salary of the three doctors:

A student’s average score on 5 tests was 87: or