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
𝑦
13 = 11 +
3
𝑧
−3=4
5
−6𝑥 + 5 = 23
6 = 16 − 𝑎
10 − 4𝑎 = 34
8𝑤 − 3 = 21
7𝑥 + 3 = 17
3
𝑚+1=7
4
Bicycle Repair Your bicycle needed to be fixed. A
mechanic charged $40 for each hour of labor, and the
new parts cost $35. The total cost of fixing the bicycle
was $95. How long did it take the mechanic to fix the
bicycle?
Landscaping A landscaper charges $28 per hour for
labor and $105 for plants and materials to do a small
planting job. If the total cost is $168, how long did the
job take?
Amusement Park An amusement park charges $8 for
admission and $1.50 per ride. You spend $32. How
many rides did you go on?
Column Width You are using a word processor to
create a table. The table will be 5 inches wide. The first
column of the table will be 3 inches wide, and the
remaining 4 columns will have equal widths. How wide
should you make each of the 4 columns?
Computers A computer repair store charges you $28
per hour for labor, and you buy anti-spam software for
$36. If your total bill is $85, how long did they work on
your computer?
Theater Each student ticket to a school musical costs
$5, and each adult tickets costs $6. The music
department collected $1400 in ticket sales and sold 150
adult tickets. How many student tickets were sold?
Frozen Yogurt You work in a frozen yogurt shop. You
sold 145 frozen juice bars and 150 frozen yogurt cones
over the weekend. You took in a total of $399 from
these sales. You sold each frozen yogurt cone for $1.50.
What was the price, in dollars, of one frozen juice bar?
How do you solve two-step equations?
Ticket Out the Door
Solve
3𝑥 − 5 = 7