Algebra 1 Unit 4 Day 1 Systems Introduction.notebook December 04, 2017
Algebra I 12/04/17Aim: What is a System of Equations & When Do We Have to Use One?HW: Systems of Equations Error Analysis WS
DO NOWConvert to slopeintercept form and graph
Algebra 1 Unit 4 Day 1 Systems Introduction.notebook December 04, 2017
Convert to slopeintercept form and graph
Aim: What is a System of Equations & When Do We Have to Use One?HW: Systems of Equations Error Analysis WS
Algebra 1 Unit 4 Day 1 Systems Introduction.notebook December 04, 2017
I bought two orders of fries and one hamburger for $8. How much do the fries and hamburgers cost?
Question: How many possibilities are there?
Cost of Burgers Cost of Fries
Aim: What is a System of Equations & When Do We Have to Use One?HW: Systems of Equations Error Analysis WS
Algebra 1 Unit 4 Day 1 Systems Introduction.notebook December 04, 2017
Burgers Fries
$6 $1
$4 $2
$2 $3
$0 $4
$5 $1.50
$3.50 $2.25
$7.98 $.01
A better way to represent an infinite number of solutions
Let x = the cost of the friesLet y = the cost of the burgers
Equation:
$8
0 1 2 3 4 5 6 7 8 9 10
1
2
3
4
5
6
7
8
9
10
x
y
Aim: What is a System of Equations & When Do We Have to Use One?HW: Systems of Equations Error Analysis WS
Algebra 1 Unit 4 Day 1 Systems Introduction.notebook December 04, 2017
Another clue!!!
$13=
Cost of Burgers Cost of Fries
Let x = the cost of the friesLet y = the cost of the burgers
Equation:
4 3 2 1 0 1 2 3 4 5 6 7 8 9 10
4321
12345678910
x
y
Aim: What is a System of Equations & When Do We Have to Use One?HW: Systems of Equations Error Analysis WS
Algebra 1 Unit 4 Day 1 Systems Introduction.notebook December 04, 2017
What happens if we put our clues together?
1 0 1 2 3 4 5 6 7 8 9
10
8
6
4
2
2
4
6
8
10
x
y
Let x = the cost of the friesLet y = the cost of the burgers
Aim: What is a System of Equations & When Do We Have to Use One?HW: Systems of Equations Error Analysis WS
Algebra 1 Unit 4 Day 1 Systems Introduction.notebook December 04, 2017
0 1 2 3 4 5 6 7 8
987654321
12345678
x
y Let x = the cost of the friesLet y = the cost of the burgers
Solution: ______
Predict: What is the SOLUTION of the system of equations?
Aim: What is a System of Equations & When Do We Have to Use One?HW: Systems of Equations Error Analysis WS
Algebra 1 Unit 4 Day 1 Systems Introduction.notebook December 04, 2017
System of Equations
Method 1: Graphing
One burger and two fries cost $8. Two burgers and two fries cost $13. How much do the burgers and fries cost?
More than one unknown.
Enough information given to write TWO equations.
Each equation has MORE THAN 1 VARIABLE.
Aim: What is a System of Equations & When Do We Have to Use One?HW: Systems of Equations Error Analysis WS
Algebra 1 Unit 4 Day 1 Systems Introduction.notebook December 04, 2017
Two apples and two Twix cost $6. Four apples and one Twix costs $6. How much does each item cost?
Let x = the cost of each appleLet y = the cost of each Twix
Choose the correct set of equations below, and graph to find the prices using
a system of equations.
a) b)
Aim: What is a System of Equations & When Do We Have to Use One?HW: Systems of Equations Error Analysis WS
Algebra 1 Unit 4 Day 1 Systems Introduction.notebook December 04, 2017
Two apples and two Twix cost $6. Four apples and one Twix costs $6. How much do each item cost?
Let x = the cost of each apple
Let y = the cost of each Twix
a) b)
1 2 3 4 5 6 7 9 1010 9 8 7 6 5 4 2 131
23
45
678
910
12345678
10
9
x
y
8The Twix bar costs $2 and the apples cost $1
Aim: What is a System of Equations & When Do We Have to Use One?HW: Systems of Equations Error Analysis WS
Algebra 1 Unit 4 Day 1 Systems Introduction.notebook December 04, 2017
How do we solve a system of linear equations graphically?
Aim: What is a System of Equations & When Do We Have to Use One?HW: Systems of Equations Error Analysis WS
Algebra 1 Unit 4 Day 1 Systems Introduction.notebook December 04, 2017
HOMEWORK
Systems of Equations Worksheet
Error Analysis
Aim: What is a System of Equations & When Do We Have to Use One?HW: Systems of Equations Error Analysis WS