 # Algebraic Proofs.

## Presentation on theme: "Algebraic Proofs."— Presentation transcript:

Algebraic Proofs

What does that mean?

In slightly less math nerd terms
Addition Property – adding the same value to both sides of the equation Subtraction Property – subtracting the same value from both sides of = Multiplication Property – multiplying the same value to both sides of = Division Property – dividing the same value on both sides of =

In slightly less math nerd terms (con’t)
Reflexive Property – an value equals itself ex) 4x = 4x Symmetric Property – we can write an equation forward or backwards ex) 3x = 8 is the same as 8 = 3x Transitive Property – If a = b and b = c then, using the transitive property we can say that a = c ex) ? Substitution Property – If x = n (any #), then n can be substituted in for x in any equation or expression ex) all algebra checks

How do I use these terms? 3x + 12 = 8x – 18 ? 12 = 5x – 18 30 = 5x
GIVEN ? =

Try this one on your own 2x + 4 = 6x – 10 GIVEN

What do you think of this (solving for r)?
C = 2πr C/2π = r GIVEN Division Property of Equality

HOMEWORK! Worksheet (front and back)
6 Algebraic Proof Problems – Give Reasons Vocab list – IN YOUR OWN WORDS