Literal Equations and Other Chapter 3

Two Step and Multi Step Equations

100

-4 + x/2 = -1

x = 6

200

(x-3)/4 = -2

x = -5

300

-3(5x+1)+27x=6+3(4x-5)

No Solution

400

3(2x-1)+4 = 7x+1

x = 0

500

3(4x-1)-4(2x-6)=3x+5x-4

x = 25/4

Proportions

100

4/5 = x/3

12/5

200

3/6 = (p-9)/7

25/2

300

7/n = 3/(n+9)

-63/4

400

(m+7)/(m+10) = 7/2

-56/5

500

(p-3)/8 = (p-8)/9

-37

Proportion Word Problems

100

Sam eats 5 pounds of cookies in 4 days. How many days will it take him to eat 17 pounds?

13 3/5 days

200

It takes 4 gallons of gas to get some machine to run for 7 hours. How much gas is needed to run the machine for 2 hours?

1 1/7 gallons

300

Mrs. Sanders uses 1 bag of seed to cover 2/3 of an acre. How many bags of seed will she need to buy for 7 and a half acres?

11 1/4 bags to cover which means buy 12 bags

400

Quin throws 500 balls a week. How many days will it take him to throw 1245 balls?

17 43/100 days

500

The distance from Barcelona to New York City is 3831 miles. How many inches is that?

242,732,160 inches

Literal Equations Pure

100

am = r  , for a

a = r/m

200

w-a = c+d-k , for a

a = -c-d+k+w

300

-4a + r = 9w , for a

a = (9w - r)/-4

or for double

a = (-9w + r)/4

400

txy/w = m , for x

x = mw/ty

500

t/a + 4 = 3sd , for a

a = t/(3sd-4)

Literal Equations Applications

100

y = mx + b , for x

x = (y-b)/m

200

A = (1/2)bh , for h

h = 2A/b

300

V = h(pi)r^2 , for h

h = V/((pi)r^2)

400

F = (9/5)C + 32 , for C

C = (F - 32)/(9/5)

or for double

C = 5(F - 32)/9

500

V = (h/3)(pi)r^2 , for r

r = sqrt(3V/h(pi))