Algebraic Representations Worksheets
What Are Algebraic Representations? In the world of mathematics, you may find that many concepts have different ways of expressing them. For instance, if you consider the curve parabola, you can represent it in the form of an equation or, as mentioned beforehand, in the form of a graph. Similar is the case for other different mathematical phenomena. One of the representations is the algebraic representation, where we denote a variety of concepts in the form of an algebraic expression. Let us discuss this further with the example of translations. To translate any figure on the coordinate plane, you have to translate each of its vertices and connect them to an image. For instance, a triangle ABC consists of vertices, namely A(1,11), B(1, 7) and C(3, 7). The image is located on 4 units to the right and 5 units down. Now, in this scenario, you already have the visual representation of the triangle and its image. However, for the algebraic aspect, we will add 4 units to each of the xcoordinate and subtract 5 from the ycoordinate. A'' > (1 + 4, 11  5) = (5,6)  B' > (1 + 4, 7  5) = (5,2)  C' > (3 + 4, 7  5) = (7,2).

Basic Lesson
Guides students through the conversion of word stories to algebraic sentences. Six less than four times a number. The term less than means the subtraction.
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Intermediate Lesson
Demonstrates how to write algebraic statements. Four times a number, increased by 7. The term increased by represents the addition.
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Independent Practice 1
A really great activity for allowing students to understand the concepts of the Algebraic Representations. Example this in math terms: Five more than seven times a number.
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Independent Practice 2
Students use Algebraic Representations in 20 assorted problems. The answers can be found below.
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Homework Worksheet
Students are provided with 12 problems to achieve the concepts of Algebraic Representations.
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Where Did the Decimal System Come From?
The Incas and certain other pre Columbian tribes in Peru developed the Decimal System hundreds of years before it was used in Europe.