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May 25th

May 25th

# Math Graphic Organizer Guide

## Long Division Algorithm

Procedure

1st
Divide first
terms.

2nd
Multiply times
the divisor.

3rd
Subtract by
changing the signs

4th
Bring down the next
term and begin the
process again.

Graphic Organizer by Dale Graham and Linda Meyer
Thomas County Central High School; Thomasville GA

## Inverses

 How do I find the inverse of a function? EXAMPLE f(x) = 3x2 - 8 Switch to the y = notation from the f(x) =. Exchange x and y in the problem and solve for y. Rewrite as f-1(x) = .

 c2 = a2 + b2 When c is unknown : When a or b is unknown:

How Do You Solve a System of Equations by Linear Combination ?

 Make sure equations are in standard form and then look at the coefficients and decide whether x or y would be easiest to eliminate by adding the two equations together. Decide what to multiply each equation by so that when you add the two, the variable will be eliminated. Look for the least common multiple of the coefficients. Add the two equations together. Solve for the remaining variable. Substitute the value back into one of the original equations and solve for the other variable Choose x

 f'(x) > 0 f(x) is increasing. What does the first derivative tell you about the function? f ‘(x) is increasing. f(x) is concave up. f ’(x) < 0 f(x) is decreasing. f ‘(x) is decreasing. f(x) is concave down. f ’(x) = 0 f(x) is horizontal at this x-value: relative max, relative min, or a step . f ‘ (x) has a relative max or min. f(x) has a point of inflection at this x-value.

Graphic Organizer by Karen Capuano

How do you find the slope of a line given two points on the line?

What Are the Properties of Proportions ?

How do you solve absolute value inequalities ?

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