# MPP Math Prep

August 21, 2021

This section contains information regarding steps you should take to be ready for class on day one

MPP Math Prep

Below are useful Khan Academy 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.

Introduction to order of operations (9:40)

Order of operations example (4:26)

Order of operations with exponents (4:35)

Order of operations PEMDAS (5:20)

PRACTICE PROBLEMS 1

Order of operations with negative numbers

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.

Absolute values and number lines (5:38)

Absolute value smallest to biggest (3:21)

PRACTICE PROBLEMS 2

Finding absolute values (2:21)

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

Absolute value examples (2:22)

Comparing absolute values (4:06)

PRACTICE PROBLEMS 3

Comparing absolute values

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

Exponent properties with products (14:00)

Exponent properties with quotients (9:22)

Exponent properties with parentheses (5:57)

Exponent properties 1 (2:35)

Exponent properties 2 (5:11)

Exponent properties 3 (2:34)

Exponent properties 4 (3:06)

PRACTICE PROBLEMS 4

Simplify rational expressions: common monomial factors

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

Intro to logarithms (7:01)

Intro to logarithms (text)

PRACTICE PROBLEMS 5

Evaluate logarithms

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.

Relationship between exponentials & logarithms (1:41)

Relationship between exponentials & logarithms: graphs (4:09)

Relationship between exponentials & logarithms: tables (5:08)

PRACTICE PROBLEMS 7

Relationship between exponentials & logarithms

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.

What is a variable? (3:17)

Why aren't we using the multiplication sign? (4:57)

Expressions with two variables (1:58)

Evaluating expressions with two variables (1:45)

PRACTICE PROBLEMS 8

Evaluating expressions with two variables

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.

Systems of equations of graphing (8:29)

PRACTICE PROBLEMS 9

System of equations with graphing

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

Solving linear systems by substitution (9:20)

Solving systems of equations by elimination (12:43)

How to solve a system of linear equations with elimination (advanced technique) (12:00)

PRACTICE PROBLEMS 10

Solve linear systems of equations

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.

Two-step equations intuition (8:40)

Two-step equations with decimals and fractions 2 (13:49)

Two-step equations example (3:03)

PRACTICE PROBLEMS 11

Two-step equations

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.

Ordered pair solutions to equations (1:28)

Ordered pair solutions to equations (5:06)

Testing solutions to linear equations (3:35)

PRACTICE PROBLEMS 12

Solutions to 2-variable equations

PRACTICE PROBLEMS 13

Complete solutions to 2-variable  equations

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.

Graphing using x- and y-intercepts (3:57)

Intercepts from an equation: -5x + 4y = 20 (4:07)

Intercepts from an equation: 2y + 1/3x = 12 (3:24)

PRACTICE PROBLEMS 14

Intercepts from an equation

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

x-intercept of a line (1:42)

Intercepts from a table (3:59)

PRACTICE PROBLEMS 15

Intercepts from a graph

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.

Finding slope from graph (4:40)

Slope from two points: (4,2) & (-3,16) (7:12)

Slope and rate of change (13:41)

Slope of a line: negative slope (3:59)

Slope from two points (7,1) & (-3,-1) (5:04)

Linear equations word problems: earnings (4:02)

PRACTICE PROBLEMS 16

Slope from graph

PRACTICE PROBLEMS 17

Slope from two points

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.

Graph from slope-intercept equation (3:01)

Converting to slope-intercept form (5:06)

PRACTICE PROBLEMS 18

Graph from slope-intercept form

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.

Slope-intercept form problems (14:57)

Slope-intercept equation from graph (11:10)

Slope-intercept equation from slope & point (3:45)

Finding a linear equation given a point and slope (3:56)

Equation of a line from fractional slope and point (3:23)

Slope-intercept equation from two points (6:41)

Finding y-intercept given slope and point (1:59)

PRACTICE PROBLEMS 19

Slope-intercept equation from two points

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

Slope-intercept form from a table (4:25)