Two-Step & Distributive
Solve 4x = 36.
x = 9
Solve 4x + 3 = 2x + 11.
x = 4
Solve x/3 = 9.
x = 27
Solve d = rt for r.
r = d/t
Twice a number, decreased by 5, is 21. What is the number?
13
Solve x - 8 = 15.
x = 23
Solve 7x - 5 = 3x + 19.
x = 6
Solve x/5 - 3 = 4.
x = 35
Solve C = 2(pi)r for r.
r = C/(2(pi))
Three consecutive odd integers have a sum that is 11 more than twice the largest. Find the three integers.
13, 15, 17
Solve 3x + 11 = 38.
x = 9
Solve 3(x + 4) = 5x - 2.
x = 7
Solve (2x)/3 = 10.
x = 15
Solve V = lwh for h.
h = V/(lw)
The sum of two numbers is 27. One number is 3 more than twice the other. Find both numbers.
8 and 19
Solve 2(x - 3) = 18.
x = 12
Solve 2(3x - 1) = 4x + 8.
x = 5
Solve x/2 + x/3 = 25.
x = 30
Solve ax + by = c for y.
y = (c - ax)/b
A rectangle's length is 2 cm more than twice its width. The perimeter is 40 cm. Find the length and width.
width 6 cm, length 14 cm
Solve 4(2x - 1) + 3 = 31.
x = 4
Solve 4(x - 2) + 6 = 4x - 1.
no solution
What value of x is excluded for 8/(4x + 12)?
x = -3
Solve S = 2(pi)rh + 2(pi)r squared for h.
h = (S - 2(pi)r squared)/(2(pi)r)
Mia has $5 more than twice as much money as her brother. Together they have $41. How much does each have?
brother $12, Mia $29