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

How do we factor trinomials?

You have to find 2 numbers that multiply to the number without a variable and can also add up to the number that has the variable and once you find them you have to factor them with those 2 numbers found. 

How do you we factor the difference of squares

when you factor the difference of squares its going to turn out to be a binomial because you have to cross out whatever shows up twice and then finish solving and will be left with multiplying the squares and it will be a number to the second power subtracted by a integer.