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
Math 9 Honours - Lesson Notes
Solvin Rational E nations with Variables in the Denominator
Example 1),] %0)=(15) n Because n is in the denominator, its value
_20 _ is restricted.
%- [Sn
:29"? n=
Ex
Math 9 Honours Lesson Notes
_ Solving Equations - More than 1 Step .»
Example 1) Solve: 3x- 14 = 10
+lq l/Ll
3x=2#
VXZ5.
The biggest thing to remember when solving an equation is to maintain equality.
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 equa
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.
Ex
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
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