Writing Equations & Proportions
A shop produces 39 wetsuits every 2 weeks. How long will it take the shop to produce 429 wetsuits?
22 weeks
|3x-12|=0
x=4
2a + 4 + a = 12 - 5a
a = 1
5/15 = 7/n
n = 21
y = b - mx, for x
x= (y-b)/-m
The perimeter of a rectangle is equal to 2 times the sum of the length and the width. If the perimeter was measured to be 112 inches, find the length of the rectangle if the width is 22 inches. Write and solve an equation
length = 34 inches
9s + s + 3 - 1 = 22
s = 2
4(1 - k) = -(3k - 3)
k = 1
-3/x = 2/8
x = -12
s = 1/2rv - b, for r
2(s+b)/v
Of the 50 fish that Jim caught from the lake, 14 were trout. The estimated population of the lake is 7,500 fish. About how many trout would you expect to be in the lake?
2,100 trout
5(3k + 4) = -100
k = -8
16 + 3p +10 = 26 + 3p
Infinite Solution
4/(b-2) = 4/12
b = 14
A = (h+9)/5 , for h
h=5A-9
A video game store charges a monthly membership fee of $13.50, but the charge to rent each game is only $8.00 per game. Another store has no membership fee, it costs $12.50 to rent each game. Write and solve an equation to find how many games need to be rented each month for the total fees to be the same from either store?
3 games
| g – 5| - 3 = 9
g=17 and g=-7
-2 (2x + 5) = 5 - 4x
No Solution
(b-8)/5 = (b+3)/4
b = -47
The perimeter of a rectangle P is given by the formula P = 2l + 2w, where l is the length and w is the width.
a. Solve the formula for w. b. Use the formula in part “a” to find the width of a rectangle with perimeter 200 feet and length 60 feet.
a. w = P-2l/2
b. w=40