Algebra problems {word problem} can find unknown value from conditions, using definition, theorem, or fact.
a1 = f(a2) and a2 = g(a1) {age word problem}, where a1 and a2 are ages and f and g are functions.
d1 = f(d2) and d2 = g(d1) {digit word problem}, where d1 and d2 are digits and f and g are functions.
a = k(b) and f(a or b) / g(a or b) = h(a or b) / j(a or b) {proportion word problem}, where a and b are integers and f, g, h, j, and k are functions.
h2 = f(h1) and 1/h1 + 1/h2 = 1 {fraction word problem}, where h1 and h2 are integers, f is a function, and 1 is equivalent to 100%.
p1 = f(a or b), p2 = g(a or b), p1 + p2 = 1 {percent word problem}, where p1 and p2 are percentages, a and b are numbers, f and g are functions, and 1 is equivalent to 100%.
h1 = f(a or b), h2 = g(a or b), and 1/h1 + 1/h2 = 1 {percent mixture word problem}, where h1 and h2 are concentrations, a and b are numbers, f and g are functions, and 1 is equivalent to 100%.
h1 = f(a or b), h2 = g(a or b), and 1/h1 + 1/h2 = 1 {rate of work word problem}, where h1 and h2 are time, a and b are numbers, f and g are functions, and 1 is equivalent to 100%.
For triangle, A = 0.5 * l * h {area word problem}, where A is area, h is height, and l is side length. For rectangle, A = l*h, where A is area, and l h are side lengths. For circle, A = pi * r^2, where A is area, and r is radius.
P + P * r^t = T {interest word problem} {savings word problem} {investment word problem}, where P is principal, t is time, r is rate, and T is total.
For triangle, p = a + b + c {perimeter word problem}, where p is perimeter, and a b c are side lengths. For rectangle, p = a + b + c + d, where p is perimeter, and a b c d are side lengths. For circle, p = 2 * pi * r, where p is perimeter, and r is radius.
d = v*t {uniform motion word problem} {rate word problem} {time word problem} {distance word problem}, where d is distance, v is speed, and t is time. vf^2 = vi^2 + 2 * a * ds, where ds is distance, vf is final speed, vi is initial speed, and a is acceleration.
For box, V = l*h*w {volume word problem}, where V is volume, and l h w are side lengths. For sphere, V = (4/3) * pi * r^3, where V is volume, and r is radius.
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Date Modified: 2022.0225