# GED Math

##### General Study Tips: If you haven't found them already, Chris has a great series of videos on HOW to study including how to counter math anxiety prior to a big test and the best ways to prepare. Study Tips
Content Category Skills Example Lessons
Operations with Integers Order of operations, adding, subtracting, multiplying, and dividing basic integers \$72+4÷2+5\$ Intro to PEMDAS
Operations with Fractions Adding, subtracting, multiplying, and dividing fractions \$2/3+(3/4×1/2)+(3/4-1/3)\$ Adding & Subtracting Fractions Multiplying & Dividing Fractions
Operations with Decimals Adding,subtracting,multiplying,and dividing decimals \$7.46+1.85+2.5×3\$ Decimals Decimals rounding
Operations between mixed numbers and improper fractions Adding, subtracting, multiplying,and dividing using mixed numbers and improper fractions \$7(1/2)+ 18.85+4(2/3)\$ Improper Fractions and Mixed Numbers
Exponents Raising numbers to "a power" (how many times a number is multiplied by itself) \$2^4+3^2\$ Intro to Exponents Exponent Rules, Like Bases, & Negative Exponents Scientific Notation
Square Roots A number that produces a specified quantity when multiplied by itself. \$√4+√81\$ Simplifying Roots & Radicals
Ratios and Proportions "Part over whole" or fractions that equals a similar fraction \$X/2=12/8\$ Ratios & Proportions
Percentages "A part" of a certain value which is used in operations. 20% of 100 + 30% of 60 Percents as Ratios Percent Increase & Decrease Percents As Decimals Hard Multi-Step Percent Problems
Averages Another word for the "mean" which is a sum of all numbers in a set of data divided by the amount of numbers Steve tried to compute the average of his 5 test scores. He scored 86 on one, 55 on the next one, then 99, 77, and 90. What is Steve's average test score? Calculating The Mean (Average)
Geometry Knowing both the area and the perimeter of triangles, quadrilaterals, and circles If one angle of a triangle is 95 degrees and another is 35 degrees, what is the third angle of the triangle? 180 Triangle Rule Problems Areas of Rectangles & Squares Rectangles & Squares Basic Circle Area Problems
Substituting values for x Being given a value for x and plugging in What is the value at \$(x^2-2)/(x-1)\$ for x=2? Intro to Variables & Expressions
Setting up an Equation Translating an equation from words into numbers and variables A car's distance is determined by the velocity multiplied by the amount of time the car is at that speed.If a car can go at a maximum velocity of 225 meters per second, what equation shows how far the car has travelled at its maximum speed? How to Translate Words Into Equations
Operations with Polynomials Adding,subtracting,multiplying,and dividing equations with multiple variables Simplify: \$2a+3b-(-6a+4b)\$ Adding Polynomials (a.k.a. Combining Like Terms) Distribution (a.k.a. "multiplying stuff out") Solving Equations With Distribution Basic FOIL on 2-by-2 parentheses
Factoring Undoing a polynomial and simplifying it into its most basic equations as well as using it to find certain input values What is one possible factor of \$x^2+4x+3\$ ? Factoring Stuff Out (a.k.a. "distrubution in reverse") Easier Factoring Problems Factoring Difference of Squares Hard Factoring Problems
Linear Equations to One Variable An input which leads to an output and using the output to solve for the input Solve for x when \$2(x-2)=-10\$ Solving Equations With Addition & Subtraction Only] Solving Equations With Multiplication & Division] Solving Two Step Equations
Exponent Properties Multiplying, dviding, or taking the power of a number or variable to a power \$(x^2)((x^5)^2)/ x^9\$ =? Basic Exponent Rules & Rational Expressions Negative Exponents Common Algebraic Canceling Mistakes
Irrational functions and multiplying by the Complex Conjugate Simplifying a polynomial over a polynomial and being able to simplify roots in a denominator. \$ √x/(3√x- √y)\$ Dividing Roots & Rationalizing Denominators Solving Rational Equations (x's in denominators)
System of Equations Solving for an intersection point of two equation at a designated x or y value. Solve for x and y: \$2x+3y=6\$ \$8x-4y=-12\$ Solving Systems of Simultaneous Equations with Elimination Solving Systems of Simultaneous Equations with Substitution Solving 3 Simultaneous Equations with 3 Unknowns
Inequalities Solving for the range of a functions x or y value using manipulation of a number line What is the range of x for the function \$2x+5<6\$ ? Solving "Linear" Inequalities