Transcript It`s a party! Solving Multi

It’s a party!
Solving Multi-step Equations
Review of One-Step Equations
2x = 8
x
 18
3
x +3 = 15
x – 5 = 20
Be sure you can solve each type of problem before we begin!
With Multi-Step Equations it can
be hard to know where to start….
pretend it’s a party!
You are the host - ‘X’
In what order do people leave a party?
–
Enemies (get rid of them to avoid trouble)
– Acquaintances (after mingling with everyone, they
usually leave early)
–
Friends (they hang out with the host a little longer)
– Family (if attending, they will stay to the end to help clean)
Who is who?
Consider our one-step equations
2x = 8
x
 18
3
x +3 = 15
x – 5 = 20
FAMILY….right beside
you…and only you… until the
end!
FRIENDS….they are close to
you…they stay longer than
some people, but not as long
as family
Who are the acquaintances?
2x  5
7
3
ACQUAINTANCE –
Because this number mingles with all other
many parts of the equation instead of giving
most of its attention to the host (x), it is not a
friend…it is an acquaintance.
Identify all the Party-goers
FRIEND
FAMILY
2x  5
7
3
ACQUAINTANCE
The equal sign is the door…who
goes out the door first?
2x  5
7
3
ACQUAINTANCE –
The work:
multiply each side of
the equation by 3.
 2x  5 
3
  37 
 3 
The result:
2 x  5  21
We still have company... lets continue….
Who is next to leave?
2 x  5  21
Friends – add
5 to each side.
The work:
2x – 5 = 21
+5 +5
The result:
2 x  26
All that is left is family…a familiar one-step equation.
Clean up the party with
a family member
2 x  26
The work:
2 x 26

2
2
The result:
x  13
Family –
divide each
side by 2
Don’t forget to check your work with Order of Operations!
Try these problems:
2 x  13  55
Steps:
x2
6
3
1. Identify the party-goers
2. Eliminate party-goers in order
3. Get x (the host) alone
4. Check your solution
x
47
3
Enemies can ruin the entire
party…get rid of them first!
1  2x  6 

4
3 3 
Its easy to spot
an enemy…they
affect
everything!
To solve, multiply each side by the reciprocal
The work:
3 1  2x  6 
3
 
  4
1 3 3 
1
The result: 2 x  6
 12
3
Try to complete the
problem from
here….the answer is:
21
Its party time!
Do you know who is in your home?
Family
HOST
Enemy
Friend
5  3x  9 

  10
3 3 
The
Door!
Acquaintanc
e
See if you can ID the enemy, the friend, the acquaintance, a
family member, the host and the door!