MULTIPLE CHOICE
MONDAY
7 3 2 4 ?
a. -28
b. -13
c. 13
d. 28
e. 29On a blank sheet of paper,
write the problem and then
choose the best answer.
Solving Systems of
Linear Equations
Linear Combination
Substitution
Graphing
Solving
Systems of Linear Equations
using
Linear Combination
Definition: System of Linear
Equations
Two or more linear equations involving the same variables
STEP 1
Rearrange each equation so the variables are on one side (in the same order) and the constant is on the other side.
STEP 2
Multiply one or both equations by an integer so that one term has equal and opposite coefficients in the two equations.
I work them.
We work them.
You work them
together.
You work them
alone.
I work them.
We work them.
You work them
together.
You work them
alone.
I work them.
We work them.
You work them
together.
You work them
alone.
2 2
9 3 6
x y
x y
I work them.
We work them.
You work them
together.
You work them
alone.
4 19
2 4 6
x y
x y
I work them.
We work them.
You work them
together.
You work them
alone.
3 2 10
2 5 3
x y
x y
I work them.
We work them.
You work them
together.
You work them
alone.
I work them.
We work them.
You work them
together.
You work them
alone.
2 3 5
2 8
x y
x y
I work them.
We work them.
You work them
together.
You work them
alone.
5 1
9 2 4
x y
x y
I work them.
We work them.
You work them
together.
You work them
alone.
2 3 17
3 2 6
x y
x y
I work them.
We work them.
You work them
together.
You work them
alone.
I work them.
We work them.
You work them
together.
You work them
alone.
2 2 12
18
x y
x y
I work them.
We work them.
You work them
together.
You work them
alone.
2 v 2
4 4 4
u
u v
I work them.
We work them.
You work them
together.
You work them
alone.
3 2 17
2 5 14
x y
x y
I work them.
We work them.
You work them
together.
You work them
alone.
I work them.
We work them.
You work them
together.
You work them
alone.
3 2 10
4 1
m n
m n
I work them.
We work them.
You work them
together.
You work them
alone.
4 4
8 4
x y
x y
I work them.
We work them.
You work them
together.
You work them
alone.
3 4 0
4 3 7
g h
g h
On your bellringer paper, list:
• 1 new thing you have learned,
• 1 thing that was review, and
• 1 question you still have.
Slip
DATA On a blank sheet of paper,
write your prediction for the
following questions.
#1
• Which class has the best overall attendance? 9th, 10th, or 11th?
#2
• Which class experienced the highest weekly percentage? 9th, 10th, or 11th?
#3
• Which class experience the lowest weekly percentage? 9th, 10th, or 11th?
78
80
82
84
86
88
90
92
94
96
98
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Axi
s Ti
tle
2011-2012 NHS Attendance Data
9th
10th
11th
#1
• Which class has the best overall attendance? 9th, 10th, or 11th?
#2
• Which class experienced the highest weekly percentage? 9th, 10th, or 11th?
#3
• Which class experience the lowest weekly percentage? 9th, 10th, or 11th?
I work them.
We work them.
You work them
together.
You work them
alone.
I work them.
We work them.
You work them
together.
You work them
alone.
3 2 10
4 1
m n
m n
I work them.
We work them.
You work them
together.
You work them
alone.
4 4
8 4
x y
x y
I work them.
We work them.
You work them
together.
You work them
alone.
3 4 0
4 3 7
g h
g h
STEP 1
Rearrange each equation so the variables are on one side (in the same order) and the constant is on the other side.
STEP 2
Multiply one or both equations by an integer so that one term has equal and opposite coefficients in the two equations.
STEP 3
Add the two equations together so one variable is eliminated and solve the resulting equation.
STEP 4
Substitute the value of the first variable into either of the two original equations and solve for the second variable.
I work them.
We work them.
You work them
together.
You work them
alone.
2 2
9 3 6
x y
x y
Multiply the top equation by -3.
#1
I work them.
We work them.
You work them
together.
You work them
alone.
6 3 6
9 3 6
x y
x y
#1
I work them.
We work them.
You work them
together.
You work them
alone.
4 19
2 4 6
x y
x y
#2
Multiply the bottom equation by -2.
I work them.
We work them.
You work them
together.
You work them
alone.
4 19
4 8 12
x y
x y
#2
I work them.
We work them.
You work them
together.
You work them
alone.
3 2 10
2 5 3
x y
x y
#3
Multiply the top equation by 2 and
the bottom equation by -3.
I work them.
We work them.
You work them
together.
You work them
alone.
6 4 20
6 15 9
x y
x y
#3
I work them.
We work them.
You work them
together.
You work them
alone.
2 3 5
2 8
x y
x y
#4
Multiply the bottom equation by 2.
I work them.
We work them.
You work them
together.
You work them
alone.
2 3 5
2 4 16
x y
x y
#4
I work them.
We work them.
You work them
together.
You work them
alone.
5 1
9 2 4
x y
x y
#5
Multiply the top equation by 2.
I work them.
We work them.
You work them
together.
You work them
alone.
10 2 2
9 2 4
x y
x y
#5
I work them.
We work them.
You work them
together.
You work them
alone.
2 3 17
3 2 6
x y
x y
#6
Multiply the top equation by 2 and
the bottom equation by 3.
I work them.
We work them.
You work them
together.
You work them
alone.
4 6 34
9 6 18
x y
x y
#6
I work them.
We work them.
You work them
together.
You work them
alone.
2 2 12
18
x y
x y
#7
Multiply the bottom equation by 2.
I work them.
We work them.
You work them
together.
You work them
alone.
2 2 12
2 2 36
x y
x y
#7
I work them.
We work them.
You work them
together.
You work them
alone.
2 v 2
4 4 4
u
u v
#8
Multiply the top equation by 2.
I work them.
We work them.
You work them
together.
You work them
alone.
4 2v 4
4 4 4
u
u v
#8
I work them.
We work them.
You work them
together.
You work them
alone.
3 2 17
2 5 14
x y
x y
#9
Multiply the top equation by 2 and
the bottom equation by 3.
I work them.
We work them.
You work them
together.
You work them
alone.
6 4 34
6 15 42
x y
x y
#9
On your bellringer paper, list:
• 1 new thing you have learned,
• 1 thing that was review, and
• 1 question you still have.
Slip