One-Step Equations
a + 2 = 6
a = 4
3x + 2 = 11
x = 3
7(4g - 1) = 49
g = 2
Three less than a number is five.
n - 3 = 5
Name all of the coefficients in this equation: 2x - y = 8
2 and -1
-8x = -48
x = 6
2a + 11 = 35
a = 12
-30 = 5(-2m - 10)
m = -2
The quotient of a number and negative eight is four.
n/-8 = 4
A car rental company charges a fee of $120 to rent one of their cars, plus $0.40 per mile driven. Upon returning the car, Harry was charged a total of $400. Write and solve an equation to find how many miles Harry drove the rental car.
Equation: 120 + 0.40m = 400
Harry drove the rental car for 700 miles.
p - 7 = -16
p = -9
-8t - 5 = 43
t = -6
5 - (3d + 4) = -14
d = 5
The product of negative five and a number decreased by sixteen is negative eight.
-5n - 16 = -8
A boating club rents sailboats for $65 for the first hour, and $35 for each additional hour. When Veronica returned the boat, she was charged a total of $205. Write an equation to represent this situation.
How many hours did Veronica have the boat for?
Equation: 65 + 35h = 205
Veronica had the boat for 5 hours.
b/3 = -12
b = -36
y/3 - 12 = -22
y = -30
2h + 3(3h - 10) = 91
h = 11
Four more than triple a number is twenty-seven.
3n + 4 = 27
3(x - 8) = x + 4
x = 14
3c = 13
c = 4 1/3
21n - 39 = 234
n = 13
-4(f - 2) - (6 + 3f) = 58
f = -8
The difference between ten and twice a number is negative thirty.
10 - 2n = -30
2x - 9 = 2(-5x + 1)
x = 11/12