7.5 Solving a Linear System using Elimination

We can solve a linear system by adding or subtracting one equation from the other.
Examples:
1. 3 5 6
3 4
2. 2 4 5
4 4
3. 5 3 1
2 5 9
4. 2 3 5
3
5. 5 3 12
4 6 6
6.
7.
1
2
Example word problem: mixture
7.4 Solving a Linear System using Substitution

We can solve a linear system by substituting one equation into the other.
Examples:
1. 3 5 6
4
2. 4 2 5
4 4
3. 5 3 1
5 2 9
4. 2 3 5
3
5. 5 3 12
4 6 6
6. 2 4 7
4 5
7.
8.
1
2
Example: Word Problem (Pe
7.6 Properties of Linear Systems
 Linear systems can have one solution, no solutions, or an infinite number of solutions.
When two lines are parallel (have the same slope), there are _
solutions.
When two lines have the same slope AND same y intercept, t
Basic Skills Review Chapters 1 and 2
Name: _
Chapter 1: Measurement
Converting between units
Calculating surface area and volume
Chapter 2: Trigonometry
Find missing sides on a triangle
Find missing angles in a triangle
Sample Questions:
1. Convert 25
Math 10 Ch. 7 Review
Test next class
Portfolio is due next class (your test will not be marked without it)
Solve a system of equations by
1. Graphing
2. Substitution
3. Elimination
e.g. Try this problem in all 3 ways
Graphing:
Substitution:
3,
3 2 12
Eli
Basic Skills Review Chapters 7
Name: _
Chapter 7: Linear Systems
Solve a system using substitution, elimination, and graphing
Write a system of equations from a word problem
Find out how many solutions there are
Sample Questions:
1. Solve linear system
Basic Skills Review Chapters 5 and 6
Name: _
Chapter 5: Functions and Relations
What is a function
Domain and Range
Rate of change
Chapter 6: Linear Relations
Calculate slope
Graph a line (in 3 forms)
Write an equation (in 3 forms)
Sample Questions:
Station 1 Slope
1. What is the slope of this line?
2. What is the slope of the line that passes through the points (5, 2) and (0,1)?
3. Draw a line that passes through the point (4,5) and has a slope of zero. What is another point
on your line?
4. The sl
Foundations of Mathematics 12 2.1
2.1 ANALYZING MEANS
Goal: Solve problems that involve single payment loan: and regular payment loam.
Example 1: Solving for the term and total interest of a loan with regular payments
lino
Les. borrowed SHIREat 5% intere
3.2 Exploring the Pythagorean Relationship
Example 1: Describe Relationships in Right Triangles
What is the area of each
square?
Which side is the
hypotenuse?
a
b
c
Write an addition statement
to show the relationship
between the areas of the
three square
3.3 Estimating Square Roots
Example 1: Estimate the square root: 22
a) How can you check your answer?
b) Can you make a better guess?
You try:
Check your answer and make a better guess if you need to.
You try: Estimate the following square roots. Check yo
Chapter 3 Pythagorean Relationship
Name:
The Dangerous Ratio
It's a stormy day on the sea off the coast of Greece. The date is around 520 BC. Fighting for his
life, a man is heaved over the side of a boat and dropped into the open water to die. His name i
Math 8
Ch. 10 Notes
Ms. Morrison
Goals: Solve equations using a model and opposite operations
Example 1: Using a model
You try:
Example 2: Solve using opposite operations. Verify your answer
a)
4 6 28
b)
4 2 2
c)
16 5 4
d)
2 3 14
e) 4 3 25
f)
2 16 20
Math
Chapter 5 Surface Area
Name:
Prequiz:
Total:
/16
1. Label the following (just the letters) on this object:
(a) edge
(b) vertex
(c) face
2. Match the shape with its
name
_ Cylinder
_ Rectangular Prism
A
B
D
C
E
_ Triangular Prism
_ Cube
_ Rectangular Pyra
Basic Skills Review Chapters 5 & 7
Name: _
Ch. 5 Surface area
Find the area of each side, add them up
Formulas:
Area of Rectangle = length width
Area of Triangle = (base height) / 2
Area of Circle =
Circumference of a circle:
Sample Questions:
1. Find
3.5 Applying the Pythagorean Relationship
Example 1:
You try:
How far is it to Sams school as the crow
flies?
Example 2:
You try: Danelle checks another corner in her bedroom. She measures 30cm along one wall, and
40 cm along the other. The hypotenuse is