Literal Equations

Solve & Evaluate

100

What should be added to the numerator and denominator of the right side of this equation before solving:

        a + b

x = ______

        c - d

What are parentheses?

200

Write out the steps to solve this for x

M = p - x

What is x + M = p

            x = p - M

300

For S = ab + bc + ac, divide both sides by a and write out the resulting equation.

What is S / a = b + (bc)/a + c

400

Distribute (x + 2)(x - 4)

What is x^2 - 2x - 8

500

Divide this equation by (x - y):

A = x + y

What is A / (x-y) = (x+y) / (x-y)?

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 r

r = 7 - ax

400

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

a = 5/2c + 15/8b

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 3/5x + 1.4y = 2/5 for y

y = 2/7 - 3/7x

500

Solve S = h w f t 35,000 for t

t = 35,000S h w f

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 = 2y for x

x = 2/3y - 3

400

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

d = 500t - 250

500

Solve y = mx + b for m. What can you say about y if m = 0?

m = y - 6 x