Objective

1
Objective

• Write and solve multistep equations.

2
Key Skills
Keep it balanced!
Where do we start?Does it matter?Like driving
to Seaside Heights, you could take the Turnpike
to the Parkway or Route 280 to the Parkway.
Either way gets you to the Parkway which you need
to take to get to Seaside Heights.
Solve 6n 17 5 4n
Subtract 6n from each side of the equal sign.
The goal is to get the variable on one side of
the equal sign and the numbers on the other side.
6n 6n
Subtract 5 from each side of the equal sign.
17 5 2n
5 5
Divide by 2
12 2n
n 6
2 2
3
Just watch what happens
It doesnt matter where you start
6n 17 5 4n
6n 17 5 4n
6n 17 5 4n
5 5
4n 4n
17 17
6n 12 4n
2n 17 5
6n 12 4n
6n 6n
17 17
4n 4n
12 2n
2n 12
2n 12
2 2
2 2
2 2
n 6
n 6
n 6
4
Do This Together
Keep it balanced!
Solve 3x 19 4 8x
Subtract 3x from each side of the equal sign.
The goal is to get the variable on one side of
the equal sign and the numbers on the other side.
3x 3x
Subtract 4 from each side of the equal sign.
19 4 5x
4 4
Divide by 5
15 5x
x 3
5 5
5
Just watch the NON screw up
3x 19 4 8x
3x 3x
19 4 5x
19 19
0 15 5x
5x 5x
5x 15
x 3
5 5
6
Try This
Keep it balanced!
Solve 3x 9 13 7x
Add 3x to each side of the equal sign.
The goal is to get the variable on one side of
the equal sign and the numbers on the other side.
3x 3x
Add 13 to each side of the equal sign.
9 13 4x
13 13
Divide by 4
4 4x
x 1
4 4
7
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8
Do this together
Mr. Esker has to buy pencils for his company.
Supplier A charges 4 per box and 3 for
shipping. Supplier B charges 3 per box and 6
for shipping.
a. Write equations for both suppliers.
b. How many boxes would he need to buy for both
companies to charge the same amount?
9
Do this together
Mr. Esker has to buy pencils for his company.
Supplier A charges 4 per box and 3 for
shipping. Supplier B charges 3 per box and 6
for shipping.
To write the equation for Supplier A, the Cost
(what you end up paying) is equal to
4b
C
3
the shipping cost (fixed amount, the constant
where the cost starts)
the cost per box multiplied by how boxes are
purchased.
Try writing the equation for Supplier B.
C 6 3b
10
Do this together
In order to find when the 2 Suppliers charge the
same amount, set the 2 equations equal to each
other.
C 4b 3
C 3b 6
4b 3 3b 6
Now Solve for b.
11
Do this together
Solve 4b 3 3b 6
Subtract 4b from each side of the equal sign.
The goal is to get the variable on one side of
the equal sign and the numbers on the other side.
4b 4b
Subtract 6 from each side of the equal sign.
3 b 6
6 6
Divide by 1
3 b
3 b
1 1
12
Try This
A car leaves Newark airport and travels at a
constant rate of 65 mph to Los Angeles. The car
travels through Pittsburgh, which is 370 miles
from Newark, and through Las Vegas, which is 2500
miles from Newark.
When the car gets to Las Vegas, an airplane
leaves Pittsburgh and travels at a constant rate
of 550 mph to LA. It travels over Las Vegas as
well. When will the airplane fly over the car?
13
Try This
Let d equal the distance traveled and h equal the
elapsed time, the distances must be equal. The
important facts are the speeds and how far each
vehicle is from Newark when the plane takes off.
Car
d 65h 2500
Airplane
d 550h 370
550h 370 65h 2500
14
Try This
550h 370 65h 2500
370 370
550h 65h 2130
65h 65h
485h 2130
485 485
h 4.4 hours or 4 hours 24 minutes