The length of a rectangle is 5 cm less than three times its width. If the perimeter of the rectangle is 54 cm, find the length and width.
54 = 2(3x - 5) + 2(x)
width = 8 cm
length = 19 cm
10 - 5x = x + 52
x = -7
Solve:
- 5x + 9 = -1
x = 2
5n + 34 = −2(1 − 7n)
n = 4
−(7 − 4x) = 9
x = 4
- 3 - 6x = 69
x = -12
Friendship’s soccer team purchased uniforms and equipment for a total cost of $912. The equipment cost $612, and the uniforms cost $25 each. How many uniforms did the school purchase?
912 = 612 + 25x
x = 12
Juan’s cell phone company charges $35 a month for phone service plus $0.50 for each text message. How many text messages does Juan send in a month if his bill was $52?
52 = 35 + .5x
x = 34
-b - 2 > 8
b < -10
Solve for l:
P = 2(l + w)
l = P/2 - w
7(1 + 2x) = - 63
x = -5
3(9 + 7x) = 27
x = 0
Solve for w:
V=lwh
w = v / (l h)
4m − 4 = 4m
No Solution
132 > 12(n + 9)
n < 2 or 2 > n
m/3 - 3 < -6
m < -9
The sum of two consecutive numbers is 73. Find both numbers.
x + x + 1 = 73
36, 37
Solve for x:
ax + b = c
x = (c - b) / a
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