November 23

# Blog post 10&11

5.1 solving quadratic inequalities in one variable.

This part solves the quadratic inequalities on number line. Also, we find x values and domain.

The real solutions to the equation become boundary points for the solution to the inequality.

Make the boundary points solid circles if the original inequality includes equality; otherwise, make the boundary points open circles.

Select points from each of the regions created by the boundary points. Replace these “test points” in the original inequality.

If a test point satisfies the original inequality, then the region that contains that test point is part of the solution.

5.5Solving Systems of Equations Algebraically

This section uses substitution.
Make both equations into “y =” format.
Set them equal to each other.
Simplify into “= 0” format (like a standard Quadratic Equation)
Use the linear equation to calculate matching “y” values, so we get (x,y) points as answers.

October 4

1. Multiply the coefficients. The coefficients are the numbers outside of a radical. …
Multiply the numbers inside the radicals. After you’ve multiplied the coefficients, you can multiply the numbers inside the radicals. …
Simplify the product.

I learned multiplying Radical Expression in pre-cal11 class. When I see this part first, I thought it will make me die. However, Ms.Burton’s solve method made me different. I could feel solve these questions easily. So now, if test questions give me about multiplying radical questions,I can get a 100% score.

September 12

# My Arithmetic Sequences

$3,6,9$…..

$t _{n}=3+(n-1)d$

$t_{50}=3+(50-1)3$

$t_{50}=3+147$

$t_{50}=150$

$S_{n}=\frac{n}{2}(t_{1}+t_{50})$

$S_{50}=\frac{50}{2}(3+150)$

$S_{50}=3825$