Students taking Algebra 1 will practice writing algebraic equations. After reading mathematics word problems, they will use math symbols for addition, subtraction, multiplication and division, as well as constants and variables, to set up mathematics statements showing equality. A constant is a value in the equation that does not change. A variable is an unknown amount, represented by a letter or symbol.
Algebra 1 courses require students to evaluate algebraic equations. This means that they will use assigned numeric values to replace variables in the equation and then simplify the entire equation. For example, a student may have to evaluate a math statement that reads as follows: "2(x + 3y), x = 3 and y = 5." Students must be familiar with the order of operations to successfully simplify these types of math problems. To solve algebraic equations, students will also have to use the order of operations to solve for x, the variable in a problem like, "3x + 7 = 13."
Algebra 1 students must use the order of operations to write, evaluate and solve algebraic equations. The order of operations state that you must first solve whatever is in the parenthesis of an equation. Then you must solve any exponents that may exist in the equation, followed by multiplication and division, and addition and subtraction, always working from left to right. PEMDAS is a common acronym for remembering the order of the steps.
Students in Algebra 1 will learn about the Real Number System, which consists of both rational and irrational numbers. All the numbers that fall into these categories are classified into number sets. Rational numbers can be written as fractions and include the natural number set (1, 2, 3...), the whole number set (0, 1, 2, 3...), the set of positive and negative integers and the set of fractions and decimals. The set of irrational numbers can be written as endlessly repeating decimals, but not as fractions.