2-3 Solving Multi-Step Equations
Objective: To solve multi-step equations in one
variable
Warm Up:
You are buying movie tickets online for a
group of your friends. You have to enter the
number of tickets you want on the screen
shown. You are using a debit card to pay for
the tickets and have a total of $45 to spend.
How many tickets can you buy? Explain your
answer.
Solving Multi-Step Equations
• Combine like terms first (IF) they
are on the same side of the
equation
• Then solve it using reverse
PEMDAS operation (SADMEP)
5 = 5𝑚 − 23 + 2𝑚
11𝑚 − 8 − 6𝑚 = 22
−2𝑦 + 5 + 5𝑦 = 14
Martha takes her niece and nephew to a concert.
She buys T-shirts and bumper stickers for them. The
bumper stickers cost $1 each. Martha’s niece wants
1 shirt and 4 bumper stickers, and her nephew wants
2 shirts but no bumper stickers. If Martha’s total is
$67, what is the cost of one shirt?
Relate
Define
Write
Equation
Check
Noah and Kate are shopping for new guitar
strings in a music store. Noah buys 2 packs of
strings. Kate buys 2 packs of strings and a music
book. The book costs $16. Their total cost is
$72. How much is one pack of strings?
Relate
Define
Write
Equation
Check
Distributive Property
Multiplying a term to everything inside a parenthesis
−8 2𝑥 − 1 = 36
18 = 3(2𝑥 − 6)
3𝑥
4
𝑥
3
− =10
2𝑏 3𝑏
+
=3
5
4
1 5 𝑚
= −
9 6 3
Classwork
2-3 Page 98 #s 11- 43 odd
Homework
2-3 Page 98 #s 10-44 even
Classwork Answers
2-3 P. 98 #s 11-43 odd
Homework Answers
2-3 P. 98 #s 10-44 even
10) 4
12) 7
14) 10
16) 4
18) 13
20) 167t + 19t +16 = 1132;
6 tickets
22) 3
24) 2
26) -3.25 or -3¼ or
28) 2
30) -4
32) -2
34) 1
36) 3/8
38) -2 2/3
40) 9
42) 6
44) 28