**National STEM Education Standards**. What are algebraic equations? Algebraic equations are mathematical quations that contain a letter or variable, which represents a number. When algebraic equations are written in words, the words must be changed into the appropriate numbers and variable in order to solve. Read More...

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STEM.M. MATHEMATICS: National Council of Teachers of Mathematics (NCTM)

NCTM.2. Algebra

2.3. Use mathematical models to represent and understand quantitative relationships.

2.3.1. Model and solve contextualized problems using various representations, such as graphs, tables, and equations.

NCTM.11. Grade 7 Curriculum Focal Points

11.3. Number and Operations and Algebra: Developing an understanding of operations on all rational numbers and solving linear equations

11.3.1. Students extend understandings of addition, subtraction, multiplication, and division, together with their properties, to all rational numbers, including negative integers. By applying properties of arithmetic and considering negative numbers in everyday contexts (e.g., situations of owing money or measuring elevations above and below sea level), students explain why the rules for adding, subtracting, multiplying, and dividing with negative numbers make sense. They use the arithmetic of rational numbers as they formulate and solve linear equations in one variable and use these equations to solve problems. Students make strategic choices of procedures to solve linear equations in one variable and implement them efficiently, understanding that when they use the properties of equality to express an equation in a new way, solutions that they obtain for the new equation also solve the original equation.

Standards