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Topic 2: Equations & Inequalities (2.1 Linear Equations (STANDARD FORM…
Topic 2: Equations & Inequalities
2.4 Linear Inequalities
Nonnegative Property, a^2>0
Positive Multiplication and Division:
If a < b and c is positive, then ac < bc
If a < b and c is positive, then a/c <b/c
Negative Multiplication:
If a < b and c is negative, then ac>bc
If a < b and c is negative, then a/c > b/
c
2.2 Quadractic equation
Use of Quadratic Formula
Factoring
If AB = 0, Then A = 0 or B = 0
Completing the Square
2.1 Linear Equations
STANDARD FORM
A.B. and C are Integers
Ax + By = C
slope - Intercept
slope m y-intercept b
y = mx + b
Point - Slope Form
slope m y-intercept b
y - y1 = m(x - x1)
2.3 Other Types of Equations
Polynomial Equations
Degree > than 2
Use factoring method.
Equations containing Radicals
– An equation in which the variable occurs in a square root, cube root, or any higher
root.
– Check for extraneous solution.
Equation involving a Rational Exponent
Equation that is Quadratic in Form
Equation involving Absolute Value
Radical equation
2.5 Quadratic and Rational Inequalities
Solving Quadratic inequalities
Find the boundary points intersection with the x - axis
Rational Inequalities
