One-Step Equation
x - 7 = 5
x = 12
7k - 14 = 42
k = 8
When the plumber comes to my house to fix the leaky faucet, he charges a flat rate of $50 in addition to charging $22 per hour. If the final bill was $116, how long was the plumber at my house?
Write and equation for the situation and solve.
50 + 22x = 116
x = 3 hours
Solve:
−3(4r − 8) = −36
r = 5
-6y = -30
y = 5
r/4 - 12 = -5
r = 28
You bought a magazine for $3 and some candy bars for $2 each. You spent a total of $19. How many candy bars did you buy?
Write an equation and solve.
3 + 2x = 19
x = 8 candy bars
Solve:
−12(x − 12) = −9(1 + 7x)
x = -3
r + 23 = 8
r = -15
-5 + 7k = -19
k = -2
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were on each bus?
Let b equal the number of students on each bus.
Write and equation and solve for b.
331 = 6b + 7
b = 54 students
Solve:
6(6v + 6) − 5 = 1 + 6v
v = -1
w/8 = 2
w = 16
-12 = 24 + 4b
b = -9
You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost?
Let e equal the cost of each eraser.
Write an equation and solve for e.
5 + 4e = 25
e = $5
Solve:
−3(3𝑥 – 7) = −2(𝑥 + 4) + 1
x = 4
y - 3.5 = -2.1
y = 1.4
9 = 4a +13
a = -1
You purchase 5 tickets to a football game from an internet ticket agency. In addition to the cost per ticket, the agency charges a convenience charge of $2.50 per ticket. You also choose to pay for rush delivery, which costs $15. The total cost of your order is $352.50. What is the price per ticket?
Write an equation and solve.
15 + 5(x + 2.50) = $352.50
x = $65
Solve:
−11 + 10( p + 10) = 4 − 5(2p + 11)
p = -7