Literal Equations

Solve

100

This is d=rt solved for t.

What is t=d/r

200

Solve a=46c for c and evaluate for a=322

c=a/46 c=7

300

The formula A=P+I shows that the total amount of money A received from an investment equals the principal P (the original amount of money invested) plus the interest I. Solve this formula for I

I = A - P

400

The formula C = 2*pi*r relates the circumference C of a circle to its radius r. Solve for r

r = C/(2*pi) 

500

The formula for a person's typing speed is s = w-10em where s is speed in words per minute, w is number of words typed, e is the number of errors, and m is the number of minutes typing. Solve for e

e = (s - w)/-10m

Solving I

100

Solve m - n = 5 for m

m = 5 + n

200

Solve x/5 - g = a for x

x = 5(a + g)

300

Solve 2a + 2b = c for b

b = (c - 2a)/2

400

Solve 3.3x + r = 23.1 for x

x = (23.1 - r)/3.3

500

Solve s = (1/2)gt² for g

g = 2s/t²

Solving II

100

Solve m/k = x for k

k = m/x

200

Solve y = mx + b for x

x = (y - b)/m

300

Solve ax + r = 7 for x

r = (7 - r)/a

400

Solve 2/5a - 3/4b = c for a

a = 5/2(c + 3/4b)

500

Solve v² = u² + 2as for s

s = (v²-u² )/2a

Solving III

100

Solve 5 - b = 2t for t

t = (5-b)/2

200

Solve PV = nRT for T

T = (PV/nR)

300

Solve 4y + 3x = 5 for x

x = (5-4y)/3

400

Solve x + (7/5)y = a for y

y = (5/7)(a - x)

500

Solve S = (hwft)/35,000 for t

t = (35000S)/hwf

Solving IV

100

Solve D = m/V for V

V = m/D

200

Solve M = T - R for T

T = M + R

300

Solve 9 + 3x = 3y for x

x = y - 3

400

Solve t = d/500 + 1/2 for d

d = 500t - 250 or 500(t-1/2)

500

Solve y = mx + xb for x. 

x = y/(x+b)