Solving Equations
Variables on Both Sides
Literal Equations: Solve for X
Applied Algebra
Potpourri
100

4x + 3 = 7

x = 1

100

5n - 2 = 8n - 14

n = 4

100

ax – 13 = 11

x= 24 / a

100

Three times a number plus four times the same number minus eight equals forty-one.

This is the number.

100

Solve for x:

y = mx + b

x = (y - b)/m

200

4(6 + 5x) = 124

x = 5

200

-4(-8p + 1) = -4 - 8p

p = 0

200

bx + g = 14

x= (14 - g) / b

200

Mrs. Miller sells bread to customers at $16 each. She begins with $90 in the cash register. She wants $538 in the register by the end of the day.

How many loaves of bread does she need to sell?

28 loaves of bread need to be sold

200

Solve the variable k (round decimal or leave in fraction form):

-4(2k - 1)- 3k = 6k - 5

k = 9/17

OR 

k= 0.53 (rounded to the hundredths place)

300

-108 = -8(x + 6) - 4

x = 7

300

6(6n - 2) = 8n - 40

n = -1

300

(x/a) +g=-8

x= a(- 8 - g)

300

Catering service A costs $500 plus $25 per guest.

Catering service B costs $200 plus $30 per guest.

After how many guests will the cost of either catering service be exactly the same?

60 guests

300

Solve for the variable n:

3(8n - 4) = 4(6n - 3)

Infinite or all real solutions

400

172 = 5(4a + 6) + 2

a=7

400

5x + 5 - 2x = 4 + 3x + 6

No Solution

400

(x/y)-2p=10

x= y (10 + 2p)

400

These three consecutive integers have a sum of 39

12, 13, and 14

400

These three consecutive integers have a sum of 105

34, 35, and 36

500

-93 = 7(-3k - 8) + 5

k = 2

500

-5(8n - 4) - n = - 16 - 5n

n = 1

500

(y/x) + r = v

x= y / (v - r)

500

Internet service A costs $75 plus $3.00 per gig of data.

Internet service B costs $40 plus $2.50 per gig of data.

After how many gigs would the internet services be worth the same price?

There is no amount of gigs that would make the two services worth the same price.

Internet service B will always be cheaper.

500

In terms of weight, five large fish and one small fish equals to two large fish and ten small fish.


Assuming a small fish weigh two pounds each, this is how much one large fish weights

6 lbs.