Chapter 2 Review

Chapter 2 Review

So here's a basic summary of what we learned in Chapter 2- Equations and Inequalities

-An Equation is a statement that 2 quatities or expressions are equal

-A linear equation is an equation that is written in the form ax+b=0 where a does not equal 0.

Solving a Linear equation








-Simple Interest Formula
I=Prt where I is the simple interest, P is the principal amount, r is the interest rate, and t is time.


-Zero Factor Theorem



-Special Quadratic Equation



-Completing the Square- There are 2 ways to complete the square, depending on on the sign of the equation.

If the sign is positive, the equation is:


If the sign is negative, the equation is:


-Quadratic Formula- The quadratic formula is used when an equation is unable to be factored easily, so you use this formula to get the value(s) of x.



-Properties of i



Conjugate of a Complex number: If.... (z=a+bi) then its conjugate is...a-bi

ex. Complex #- 8+4i
Conjugate- 8-4i

-Solving an equation using grouping




-Inequalities: an inequality is a statement that 2 quatities or expressions are not equal.

Solving an inequality



-Properties of Absolute Values




ex.






-Solving a Quadratic Inequality


Then, use the values of x on a number line and plug in numbers (I used -5, 0, and 5) in the different intervals to find if that interval is positive or negative.

So the answer would be:


Well that's about all we did in Chapter 2. Good luck on the final.

-Michael Levitsky