Chapter 1 - Algebra 1 Flashcards
1
Q
What is the difference between direct proof and exhaustion?
A
Direct Proof uses algebra to apply the thesis in a certain context.
Proof by exhaustion lists a set of cases that exhausts all possibilities and demonstrates the viability of that thesis in each case.
2
Q
What is the formula for completing the square?
A
To complete the square: ax² + bx + c ≡ a(x + b/2a)² + q
To find q: q = c - b²/4a
3
Q
What are the three methods for solving simultaneous equations?
A
The three methods for solving simultaneous equations are:
- Graphically
- By eliminating one of the variables
- By substituting an expression for one of the variables from one equation into the other.
4
Q
What are the three circle theorems?
A
5
Q
What is the set notation for inequalities?
A
5
Q
What is the set notation for inequalities?
A
