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Algebra: Symbolic Logic 150 150 SchoolTutoring Academy

Algebra: Symbolic Logic

Proposition: A proposition is a statement which is either true or false but not both. For example, 9<10 (true) is proposition; 4+9=14 is a proposition (false). The truthfulness or falsity of the proposition is called truth value of the proposition. If a proposition is true, then its truth value is denoted by T and if…

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Order of Operations: PEMDAS 150 150 SchoolTutoring Academy

Order of Operations: PEMDAS

Arithmetic operations involve addition, subtraction, multiplication, division etc.  In an arithmetic operation, anything that is not a number may be an operation. Long ago, there was a lot of confusion in simplifying the arithmetic operations involving more than one operation.  Two different students used to get two different answers for a same problem when they…

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Math Review: Using Ratios and Proportions 490 351 School Tutoring

Math Review: Using Ratios and Proportions

Ratio: The relative size of two quantities expressed as the quotient of one divided by the other; the ratio of a to b is written as a: b or a/b. Proportion: A proportion is an equation where two ratios are set equal to each other. Let us look at some examples of using ratios and…

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How to Solve Long Division 98 100 School Tutoring

How to Solve Long Division

In arithmetic, long division is a standard procedure suitable for dividing  numbers. It breaks down a division problem into a series of simple steps (this will be demonstrated in the following table). As in all division problems, one number, called the dividend, is divided by another, called the divisor, producing a result called the quotient.…

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Everything You Should Know About Triangles 233 216 School Tutoring

Everything You Should Know About Triangles

A triangle is a geometric shape made up of three sides and three angles. There are three special names given to triangles that tell you how many sides and angles are equal to one another. In a triangle, there can be 3, 2, or no equal sides and angles.   The three types of triangles…

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Area and Perimeter of Polygons 150 150 SchoolTutoring Academy

Area and Perimeter of Polygons

Perimeter of polygons: The perimeter of a polygon is the sum of all sides of its sides. i.e. the perimeter is the distance around the polygon. In the following figure, the perimeter of the yard is nothing but the fencing needed for the yard. The perimeter is measured in linear units such ad inches, meters,…

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Geometry Basics: Introduction to Circles 150 150 SchoolTutoring Academy

Geometry Basics: Introduction to Circles

A circle is a curve joining a set of points which are at same distance from a fixed point.  Here, the fixed point is called the center of the circle and the fixed distance is called the radius of the circle. Here is the terminology regarding a circle. Here O is the center of the…

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ACT Focus: Science Section Conflicting Viewpoints 679 321 School Tutoring

ACT Focus: Science Section Conflicting Viewpoints

One of the most difficult parts of the ACT science section is the conflicting viewpoints passage. In any given ACT science section, there will be only one conflicting viewpoints passage, out of a total of seven passages. The main emphasis is placed on data representation and research summaries, but it is still essential to know…

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Tips for Sentence Completion 241 229 School Tutoring

Tips for Sentence Completion

In SAT reading sections, they have 6~10 sentence completion questions. Although these questions depend on the vocabulary, there are some ways to improve one’s performance in this sections significantly.   For one blank sentence completion quiz, you need to fill out the blank in your own words. For example,   My physics professor gets off…

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Distance, Midpoint and Slope 300 204 School Tutoring

Distance, Midpoint and Slope

In mathematical aspect, graphs are more than just beautiful images. From a graph, we can easily find two points. From the points, we can determine the distance, and the midpoint and the slope of the segment connecting them. As graphs become more and more complicated, you will be asked to apply and use all three…

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