Lesson 5: Introduction to Linear Inequalities
We use an inequality to model a situation that can be described by a range of numbers
instead of a single number. When one quantity is less than or equal to another quantity,
we use this symbol: < . When one q
Math 9 Honours - Lesson Notes
Solvin Rational E nations with Variables in the Denominator
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Math 9 Honours Lesson Notes
_ Solving Equations - More than 1 Step .»
Example 1) Solve: 3x- 14 = 10
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3x=2#
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The biggest thing to remember when solving an equation is to maintain equality. Whatever
is done to one side, must be done to the othe
Lesson 1: Review of Solving Equations
From last year, solving an equation means to isolate for a variable or letter. To do this we
perform the opposite mathematical operation to both sides of the equal sign.
Mathematical Operation
Addition
Opposite Operat
Math 9H Lesson Notes
Multiplying Binomials
Example 1: (x + 5)(x + 2) = x(x + 2) + 5(x + 2)
This is what is known as FOIL (first, outside, inside, last). Its the distributive property
applied twice.
Example 2: (m + 3)(m 7)
Example 3: (2y 5)(y 3)
Example 4:
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Lesson 3: Adding and Subtracting Polynomials
A. Review of Like and Unlike Terms
Simplify by collecting like terms.
1. 5x2 5 + 7x 3x + 2x 3x2 + 1
2. -8x + 4x2 + 4x 2x2 + 5
B. Adding Polynomials
To add or subtract polynomials, we combine the algebra tiles t
Lesson 3: Exponent Rules
There are some special properties that can applied when the bases of exponents are the
same. Simplify the following using the properties that were learned in lesson one.
24 x 23
42 x 43
5 x 52
26
22
35
33
77
75
(22)3
(34)2
(44)3
1