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Trachtenberg School of Public Policy & Public Administration

Columbian College of Arts & Sciences

Master of Public Policy Math Prep

If you are starting the Master of Public Policy (MPP) degree program at TSPPPA, there are some steps you should take to be ready for class on day one.

Khan Academy offers useful review tutorials. You will need to create a login to access these tutorials.

 

Order of Operations

You should be able to simplify an expression or solve an equation with a mix of addition, subtraction, multiplication, division, parentheses, and exponents. Need a refresher? Watch these videos before you try the practice problems.

Practice Problems 1

 

Interpreting Absolute Values

You should be able to compare the distance of values to the left and right of zero.Need a refresher? Watch these videos before you try the practice problems.

Practice Problems 2

Need a refresher? Watch these videos before you try the practice problems:

Practice Problems 3

 

Exponent Properties

You should be able to simplify expressions with exponents.Need a refresher? Watch these videos before you try the practice problems.

Practice Problems 4

Introduction to Logarithms: Evaluate logarithms, and rewrite logarithms as exponentials.Need a refresher? Watch these videos before you try the practice problems.

Practice Problems 5

Need a refresher? Watch these videos before you try the practice problems.

Practice Problems 6

Need a refresher? Watch these videos before you try the practice problems.

Practice Problems 7

 

Evaluating Expressions with Two Variables

You should be able to substitute numeric values for variables in an expression, to find the value of the expression.Need a refresher? Watch these videos before you try the practice problems.

Practice Problems 8

 

Solving Systems of Equations (Two Equations and Two Unknowns)

Given two equations, each with two variables, you should be able to find the numeric values of both variables that solve both equations.Need a refresher? Watch these videos before you try the practice problems.

Practice Problems 9

Need a refresher? Watch these videos before you try the practice problems.

Practice Problems 10

 

Two-step Equations

Given an equation with one variable, you should be able to solve for the variable; in this unit, you skip the first few tutorials, but you can go back to them if you need the material.Need a refresher? Watch these videos before you try the practice problems.

 

Solutions and Graphs of Two-variable Equations

You should be able to draw a line as the coordinates whose x and y values satisfy a linear equation. you should also be able to draw a line that describes the relationship between the x and y values on a line. Need a refresher? Watch these videos before you try the practice problems.

Practice Problems 11/12

Practice Problems 13

 

Graphing with Intercepts

You should be able to find intercepts from an equation and graph a line using those intercepts.Need a refresher? Watch these videos before you try the practice problems.

Practice Problems 14

Need a refresher? Watch these videos before you try the practice problems.

Practice Problems 15

 

Slope of a Line

You should be able to find the slope from a graph or from two points.Need a refresher? Watch these videos before you try the practice problems.

Practice Problems 16

Practice Problems 17

 

Graphing Linear Equations in Slope-Intercept Form

You should be able to graph a line, given an equation.Need a refresher? Watch these videos before you try the practice problems.

Practice Problems 18

 

Constructing Equations in Slope-Intercept Form

You should be able to construct the equation of a line given various pieces of information. Need a refresher? Watch these videos before you try the practice problems.

Practice Problems 19

Need a refresher? Watch these videos before you try the practice problems.