Name: _
Class: _
M8-U5: Notes #2 Graphing Systems (Day2)
Date: _
Warm-Up:
Graph the two linear equations and find the solution.
y 3 x 6
1
y 2 x 1
y
8
7
6
5
4
3
2
1
8
7
6
5
4
3
2
1
1
1
2
3
4
5
6
7
8
x
1
2
3
4
5
6
7
8
x
2
3
4
5
6
7
8
Graphing a system of
Name: Class:
MS-US: HW #4 Solving Systems Using Substitution Date:
Solve by substitution. Tell whether the system has no solution, one solution or innitely many
solutions.
1 y=x+4 2 x=2y+1
. y=3x ' x=y-5
owe); WM 321,;9 33; x: mm
)5 " :
f 74*!
133 33) cfw
Math 9 Unit 5 Day 3 otes: Determining Linear Relations
Example 1: Create a graph and a linear equation to represent each table of values:
y
a)
x
-2
-1
0
1
y
-3
-1
1
3
5
-5
0
5
x
5
x
b)
x
-2
0
2
4
y
6
4
2
0
x
-4
0
4
8
y
-9
-5
-1
3
5
c)
y
5
-5
d)
x
-2
0
2
4
Math 9 Unit 5 Day 8 otes: Solving Word Problems III
4 Steps for Solving Word Problems:
1. Define variable
2. Write an equation
3. Solve the equation
4. Write a statement that answers the question
Example: On a typical January day in Prince Rupert, the mea
/\_
Name: k air Class:
MS-US: Notes ' 2 Graphing Systems (Day2) Date:
Warm-Up:
Graph the two linear equations and find the solution.
=3x+6 1
F 1 Ill-Illnllllllll
y=_x+1 IIIIIIIIJIIIIIIII
2 .lllllllnulllllll
EEIIIIIHNIIIIIII
Inna-llnnlllllll
Il
Name
MS-US: HW '32 Graphing Systems (Day2)
Class:
Date:
Graph the two linear equations and find the solution.
=w
L? x_
ylx1
2. 4_L .L.
IIIIIIIIIIIII
I IIIIIIIIIIIIII. I II
I IIIIIIIIIIIIII IIIIIIIIIIMIIIIIfLf
I IIIIIIIIIIIIII lllllllllml
Math 9 Unit 5 Day 5 otes: Translating from Words to
Algebra
Translating Expressions
otes
A. Match the sentences with their mathematical expressions:
1. Two more than a number is seven
2. Eight less than a number equals ten
3. Eight less a number equals te
Math 9 Unit 5 Day 7 otes: Solving Word Problems II
4 Steps for Solving Word Problems:
1. Define variable
2. Write an equation
3. Solve the equation
4. Write a statement that answers the question
Example: Harold paid $34.95 to rent a car for a day, plus 12
Name: _
Class: _
M8-U5: Notes #1 Graphing Systems of Equations
Date: _
Vocabulary:
A system of linear equations is _
_
A solution of a system of linear equations is _
_
Point of Intersections (POI) is the same thing as the solution of a system.
No solutio
Math 9 Unit 1
Day 6 otes: Order of Operations with Integers
Brackets
Exponents
Divide
Multiply
Add
Subtract
Examples: Use BEDMAS to calculate each of the following:
i) 25 5 4 15 8
iv)
(4
6)
12 24 12
2
H.W.: worksheets
ii) 6 2(4 2 )
iii)
6 4 6(2 + 1)
32 3
Math 9 Unit 5 Day 1 otes: Representing Patterns
Example 1:
Figure 1
Figure 2
Figure 3
Figure 4
a) Create a table that describes the pattern above:
b) Describe the pattern in words:
c) Write a linear equation that represents the pattern:
d) How many square
Math 9 Unit 1
Day 2 otes: Operations with Integers
Integer: A number which may be positive, negative or zero. Does not include numbers
between whole digits.
3 Methods for Adding Integers:
i) use a number line
ii) use opposites to zero out
iii) use a gain/
Math 9 Unit 1
Day 4 otes: Operations with Positive Fractions
Adding Fractions: Requires a common denominator.
Examples: Add the following fraction having the same denominator.
5
3
9
5
14
14
ii)
iii) 12 + 11
+2
i) 2 + 1
8
8
17
17
25
25
Examples: Add the fo
Name: Class:
M8U5: Notes 1 Graphing Systems of Equations
Date:
Vocabulary: .
A system of linear equations is 0 Of it
A solution of a system of linear equations is (3 ( Qm Z1, g: QE
7 E 5 "Mia IA, h
Point of Intersections (POD is the same thing as the solu
Name: _
Class: _
M8-U5: HW #1 Graphing Systems of Equations
Date: _
What is the solution to the following system of linear equations?
If there is no solution or infinitely many, explain why.
1)
2)
y x 3
y 2 x 3
y x 2
y 4 x 1
y
6
5
4
3
3)
2
y
6
6
5
5
4
Name: K55; Class:
M8-U5: End of Unit Homework Date:
1.
The popuhtion growth of two towns over a perm! of ve years is represented hey the
system cf equations below bath agebraealy and graphicay,
ynx+
jinn-+2
zpuztign Growth
Population (thcusan 65
o 45"
Y
Name: 4%;_ ' Class; _
MS-US: Note 8.: HW #7 Practice Solving Systems
Date:
Example A:
A fashion designer makes and sells hats. The material for each hat costs $5.50. The hats
sell for $12.50 each. The designer spends $1400 on advertising. How many hats mu
I
Name: Class:
MS-US: Lesson #9 Unit 5 Systems of Equations Task
1. Ralph and Jody go to the shop to buy potato chips and candy bars.
Ralph buys 3 bags of potato chips and 4 candy bars. He spends $3.75.
Jody buys 4 bags of potato chips and 2 candy bars. S
Name: % Class:
MS-US: HW Solving Systems Algebraically set them equal
Date:
Graph the following system of equations, nd the solution.
IIIE
III-
III-
III-
III-
III-
IIII'
III.
III-
III
Ill
IE.-
Confirm the same answers algebraically.
1. cfw_y=x1 2'cfw_y=
Name: Class:
MSUS: Notes l Solving by Elimination Date:
You have already developed some useful strategies for solving a simple linear
equation like 3x + 5 = 10. You know that you can add or subtract the same quantity on
both sides and preserve equality.
Name: 4%;
MS-US: Lesson #9 Systems of Equations Review
Class:
Total: 25 pts (Double)
What is the solution to the following system of linear equations?
If there is no solution or innitely many, explain why.
(3.0135)
IIIIHIIIII
E IIIIIII
.
L
I
Name: ' Class:
MS-US: Notes #3 Solving Systems Algebraically set them equal
Date:
Graph the following system of equations, find the solution.
Ill
In
'1!
"[4
El
.-
II
II
II.
II
I!
I!
Now lets look at the algebra of setting the two equations equal to each
Name: . Class:
MS-US: HW #1 Graphing Systems of Equations Date:
What is the solution to the following system of linear equations?
If there is no solution or innitely many, explain why.
n:)m&>
IIIIWIIIIIII
IIIIIIIIIII
IIIIIII
I
I
I
I
I
I
I
I