<Midterm Review>
Ch.1 Roots and Powers
- Natural Numbers
- Whole Numbers
- Integers
- Rational Numbers
- Irrational Numbers
n is the index
a is the radicand
n√ is the root symbol
n√a is the radical
Ex)
Ch.2 Radical Operations and Equations
Recall the multiplication property of radicals
n√ab =n√a x n√b, where n ∈ N and a,b, n√a, n√b ∈ R
This property is used to write radicals in different forms. In the same way that 3 is the coefficient of the algebric term, 3x, we say that 3 is the coefficient of the mixed radical, 3√7.
Ch.3 Solving Quadratic Equations
Factoring
1 – one thing in common GCF a (b+c)
2 – two terms -> difference of squares (a+b)(a+b)
3- three terms -> pattern x^ x # product and sum
ex)
Ch.4 Analyzing quadratic Functions and Inequalities
- units left –
- Units right –
- units up –
- units down –
standard Form
vertex = (p,q)
axis of symmetry = x=p
ex) = minimum value
= maximum value
Congruent =
*standard Form-
general Form –
Factored Form –
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