27 Pre-Algebra Tutorials

These Pre-Algebra tutorials are written by experienced educators, all of whom also offer private tutoring lessons. Get the Pre-Algebra help you need, whether through these tutorials or through private tutoring lessons.

Multiple Linear Equations

This particular tutorial will demonstrate how one can find multiple linear equations. If you believe you need a better understanding of single linear equations, please view my 3 part tutorial (Graph proportional relationship). We will first use an example before graphing. You will be given 2 equations: 1) x+2y=1 2) 2x+4y=2 Before we begin, I…

Graph Proportional Relationships Part 3- Slope and Application

After reviewing the process of slope intercept form, we can finally apply this to real life scenarios. The first example is the speed of a sloth, which is probably more interesting than all of these math tutorials. However, it is important to understand the units involved in real cases. Example 1 The first thing one…

Graph Proportional Relationships Part 2- Slope

After understanding the where and how to find coordinates on a graph, we must understand the relationship between the points. This relationship is known as slope and will be a very popular term used for the rest of your math career. Slope is used in linear equations, meaning it is a straight line. Below is…

Graph Proportional Relationships Part 1- Review

Graphing proportional relationships is just another way of stating “find the point on the grid or graph.” Coordinates or points can be found on a grid with an x-axis and y-axis, each marked with specific units. The most basic graph below illustrates the key factors of a graph: the x-axis (horizontal), the y-axis (vertical), mid-point…

Scientific Notation

Scientific Notation is another way of saying a number to the power of 10 to simplify very large or very small numbers, like the population of the world or the number water molecules in the ocean. It is written as follows: There are the 3 key points to this: the coefficient, the base of 10,…

Exponents, Equations, and Expressions

Exponents that are whole numbers are straight forward: 5 to the second is 25 and 6 to the third is 216. 5 to the second is also known as 5 squared and 6 to the third is also known as 6 cubed. Why? Because 5×5= 25= 5 squared and 6x6x6= 216= 6 cubed. This is…

Rational v.s. Irrational Numbers

In this very large world full of numbers, it can be confusing as to what the difference between a “rational” number and an “irrational” number are. To put it as simple as possible, rational numbers can be whole numbers (1,2,3), integers (-1, -2, -3) and even fractions or decimals (1/4, .1, 2/3). An irrational number…

Pythagorean Theorem

The Pythagorean Theorem was introduced by the Greek mathematician, Pythagoras. It showed that for all RIGHT triangles, we take the length of the two short side (or legs) we can find the length of the long side (hypotenuse.)This equation is fairly simple to remember; A^2+B^=C^. Where A and B are the legs and C is…

One-Step Equation

Solving a One-Step equation is to find the solution for an unknown.

Dividing Fractions quicker when denominators are equal

I have to divide a fraction by a fraction. Normally, I need to ‘flip’ the divisor and then multiply. Is there a quicker or easier way to do it?

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