how do we review inequalities?

1. simplify the ones within the same group
2. divide to find x
3. change the sign only if negatives are involve
4. graph inequality

how do we identify all the elements of a parabola?

1. Write down equations for axis of symmetry: -b/2a
2. fill in the variables
3. simplify equation for x
4.  x = axis of symmetry

how do we add and subtract more complex rational expressions?

1. Factor the fractions
2. simplify by crossing out whats in common
3. whats left on the numerator stays on the numerator and same for denominator

How do we solve quadratic equations by factoring

1. Use the diamond property
2. factor them
3. Out equal to 0
4. solve for x

how do we use the discriminant to find the number of solutions to a quadratic equation?

Use the quadratic formula
fill in the variables
solve the discriminant first b^2-4ac which equals the axis of symmetry
then simiply the equation