Solving for the Variable
4(6 + 5x) = 124
x = 5
12x + 2 < 14
x<1
ax – 13 = 11
x= 24 / a
Three times a number plus four times the same number minus eight equals forty-one.
This is the number.
7
Solve for x:
y = mx + b
x = (y - b)/m
5n - 2 = 8n - 14
n = 4
-2x -1 < 9
x > -5
bx + g = 14
x= (14 - g) / b
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
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)
172 = 5(4a + 6) + 2
a=7
5x - 2 > 12x - 16
2 > x
OR
x < 2
(x/a) +g=-8
x= a(- 8 - g)
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
Solve for the variable n:
3(8n - 4) = 4(6n - 3)
Infinite or all real solutions
5x + 5 - 2x = 4 + 3x + 6
No Solution
-9x +16 > -5x + 28
x > -3
OR
-3 < x
(x/y)-2p=10
x= y (10 + 2p)
These three consecutive integers have a sum of 39
12, 13, and 14
These three consecutive integers have a sum of 105
34, 35, and 36
-5(8n - 4) - n = - 16 - 5n
n = 1
2(x - 3) > 2x - 8
Infinite Solutions
Reason: After the variables cancel, -6 is greater than -8
(y/x) + r = v
x= y / (v - r)
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.
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.