Essential Question: How do you
solve two-step equations?
Before we
start…
You are buying a drum set that costs $495. The
music store lets you make a down payment. You
can pay the remaining cost in three equal monthly
payments with no interest charged. You make a
down payment of $150. How much is each monthly
payment?
Solving Two-Step Equations
• To solve a two-step equation, you’ll use
inverse operations to isolate the variable.
• Continue to remember the golden rule of
algebra.
How do I solve a two-step equation?
• Identify the variable and the constant term
• Use inverse operations to remove the constant
term
• Use inverse operations to remove the
coefficient
Solve
3 x  7  5
Solve
x
3 1
2
Solve
7  4 y  19
Solve
x
 5  11
2
Solve
5 x  9  24
Solve
4 y  4  16
Solve
z
1   7
3
Solve
12  7  m
Solve
p
 3  11
2
Solve
12  4 s  12
13𝑛 + 42 = 81
𝑤
− 21 = −3
4
18 − 𝑟 = 42
−2𝑞 − 63 = 47
Jobs Kim has a job where she makes $8 per hour plus
tips. Yesterday, Kim made $53, $13 of which was from
tips. How many hours did she work?
Driving Your family is taking a long-distance car trip.
You begin with 16 gallons of gasoline in the fuel tank.
Your car uses 3 gallons of gasoline per hour of driving.
You will stop to refuel when there is exactly 1 gallon of
gasoline remaining in the tank. After how many hours
will you need to stop to refuel?
Rafting A group of 9 friends takes a white-water
rafting trip. The total price of the trip before any
discounts is $810. Each person in the group receives a
student discount. The total price with the discount is
$729. How much is the discount per person?
Band Fundraiser Your school band needs to buy new
recording equipment. The equipment will cost $3000.
The band has collected $1200 in previous fundraisers. If
the band sells sandwiches at $5 each, how many
sandwiches will they need to sell to raise the remaining
funds?
Water Skiing You and your family are taking a vacation at
a lake. Your family paid a total of $1720 to rent a boat for 5
days along with a set of water ski equipment. The total cost
of the rental is the sum of the amount paid for the water ski
equipment and the amount paid for the boat rental. You
were charged $45 for the equipment rental. What did you
pay per day for the boat rental?
How do you solve two-step equations?
Ticket Out the Door
Solve
d
29   25
12