# GED Prep

# (from someone who can actually explain it)

# Chris is a Stanford-educated tutor with over 10 years experience tutoring math to students of all abilities and levels, from pre-algebra and middle school all the way through college algebra, calculus and the SAT. In that time he got a lot of experience learning how to explain this stuff in a way it actually makes sense to normal people, and he brings that experience to his videos, whether you are in class now or preparing for GED.

**How to prep for GED using ThatTutorGuy.com -- ** The table below contains a list of all the topics you'll find on the GED test. In the right-hand column of the table are links to all the videos on our site that you'll want to watch to cover those topics.

# GED Math

**About the test:** The GED math test covers Pre-Algebra, Algebra, and Geometry. It is administered on the computer and is timed.

##### **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 |