I can solve a system by substitution. x ­ 2y = ­6 4x + 6y = 4 nbp.3

7.2 Solve Linear Systems by Substitution.notebook
Lesson: 7.2 day 2 Date:
LT#3: I can solve a system by substitution.
substitution =
Steps to solve a system by substitution =
step 1:
step 2:
step 3:
Example:1
Solve the system.
(substitution)
y = 3x + 2
x + 2y = 11 Example:2
Solve the system.
(substitution)
x ­ 2y = ­6
4x + 6y = 4
Summary
October 08, 2014
nbp.3
7.2 Solve Linear Systems by Substitution.notebook
October 08, 2014
­Identify each variable (2 per question).
7.2 day 2 CW ­Write equations (2 per question).
nbp.3
­Solve each system using the substitution method.
Your school is selling football tickets for a home game. The school sold 35 tickets for $86 on the first day of the sale. Student tickets cost $2 each and non­student tickets cost $3 each. Find the number of student tickets and the number of not­student tickets the school sold.
s =
n =
( , )
You burned 8 calories per minute on a treadmill and 10 calories per minute on the elliptical trainer for a total of 560 calories in 60 minutes. How many minutes did you spend on each machine?
t =
e =
( , )
7.2 Solve Linear Systems by Substitution.notebook
October 08, 2014
­Identify each variable (2 per question).
7.2 day 2 CW ­Write equations (2 per question).
­Solve each system using the substitution method.
As the student council treasurer, you prepared the budget for your class rafting trip. Each large raft costs $100 to rent, and each small raft costs $40 to rent. If you rent 32 rafts and spent $2480, how many large and small rafts did you rent for the trip?
l = s = ( , )
Sam is going to the state fair. She has two ticket options as shown in the table. Write an equation that shows the cost per person for each option. Then use substitution to solve the system of equations.
r = # of rides
t = total cost
( , )
7.2 Solve Linear Systems by Substitution.notebook
IF
­Identify the variables
­Write a system It takes you 3 hours to mow a lawn and 2 hours
to trim hedges. You spend 16 hours doing yard
work and completed 6 jobs.
October 08, 2014
7.2 Solve Linear Systems by Substitution.notebook
October 08, 2014
­Identify the variables
IF ­Write a system Your school is selling football tickets for a home game. The school sold 35 tickets for $86 on the first day of the sale. Student tickets cost $2 each and non­student tickets cost $3 each. Find the number of student tickets and the number of non­
student tickets the school sold.
7.2 Solve Linear Systems by Substitution.notebook
1)
October 08, 2014
Class work
s = # of drum sticks
b = # of drum brushes
10.50s + 24b = 90
s = 2b
3)
b = # of blooming plants
n = # of non­blooming plants
3.20b + 1.50n = 49.60
b + n = 24
2)
m = # of lawns mowed
s = # of drive ways shoveled
225m + 200s = 2600
12 = m + s
4) i = # of infield outs
o = # of outfield outs
o + i = 27
o + .25i = 12
7.2 Solve Linear Systems by Substitution.notebook
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3­4
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October 08, 2014
7.2 Solve Linear Systems by Substitution.notebook
Lesson: 7.2 day 2 Date:
LT#3: I can solve a system by substitution.
October 08, 2014
nbp.3
substitution =
Steps to solve a system by substitution =
step 1:
step 2:
step 3:
Example:1
Solve the system.
(substitution)
y = 3x + 2
x + 2y = 11 Example:2
Solve the system.
(substitution)
x ­ 2y = ­6
4x + 6y = 4
Summary
The answer to a Linear System is an ORDERED PAIR (x,y).
7.2 Solve Linear Systems by Substitution.notebook
October 08, 2014
Class work
1) Complete 1­4 (worksheet)
(19,16)
1
2) Check answers
3) Raise hand (Spaeth) ­pink sheet
2
(20,40)
4) Start HW
3
4
(20,12)
(5, 7.50)
7.2 Solve Linear Systems by Substitution.notebook
October 08, 2014
7.2 CW Solve each problem using the substitution method.
1. Your school is selling football tickets for a home game. The school sold 35 tickets for $86 on the first day of the sale. Student tickets cost $2 each and non­student tickets cost $3 each. Find the number of student tickets and the number of non­student tickets the school sold.
s =
n =
7.2 Solve Linear Systems by Substitution.notebook
7.2 CW
October 08, 2014
Solve each problem using the substitution method.
You burned 8 calories per minute on a treadmill and 10 calories per
minute on an elliptical trainer for a total of 560 calories in 60
minutes. How many minutes did you spend on each machine?
2.
t =
e =
7.2 Solve Linear Systems by Substitution.notebook
October 08, 2014
7.2 CW Solve each problem using the substitution method.
3.
As the student council treasurer, you prepare the budget for your class rafting trip. Each large raft costs $100 to rent, and each small raft costs $40 to rent. If you rent 32 rafts and spend $2480, how many large and small rafts did you rent for the trip?
l = s = 7.2 Solve Linear Systems by Substitution.notebook
October 08, 2014
4. Sam is going to the state fair. She has two ticket options as shown in the table. Write an equation that shows the cost per person for each option. Then use substitution to solve the system of equations.
r = # of rides
t = total cost
Raise hand (Spaeth) ­pink sheet
7.2 Solve Linear Systems by Substitution.notebook
October 08, 2014
HW
7.2 day 2 p.439(1,5,11,17,19,21,23,26,31-32)
7.2 Solve Linear Systems by Substitution.notebook
HW 7.2 day 2 p.439(1,5,11,17,19,21,23,26,31-32)
26) (5.5, 9)
32) 22 tubes for a person and 4 'cooler' tubes
October 08, 2014