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Variables and Expressions
Objective: To identify parts of algebraic expressions. To write algebraic expressions from verbal expressions and vice versa. Do Now: What is an algebraic expression?
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Important Terms A term is an algebraic expression written with numbers, variables, or both, and using multiplication, division, or both. A term that has no variables is often called a constant. 5,x,cd,6mx, are all terms. Of these, 5 is a constant. The coefficient of a term is a numerical part of the term. If no coefficient is written, then it is understood to be 1. The coefficient of 6mx is 6, the coefficient of is , and the coefficient of cd is 1. For any given term, other terms that divide evenly into that given term are called factors. The numbers 4 and 5 are factors of 20. The number 2 and x are a factor of 2x. Side Note: One can think of a term with an addition or subtraction sign in the front of the coefficient. For example, in 3-x, the two terms are 3 and –x. The coefficient of x is -1.
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Important Terms An algebraic expression is an expression with numbers and variables connected by at least one operation (+, -, x, ÷). Variables are symbols for numbers that are unknown (i.e. x, y, a, b, n, etc.) In the example above, a and y are both variables. A verbal expression is an expression with numbers and variables connected by at least one operation (+, -, x, ÷) using words.
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Algebraic Expressions
Identify any constants, coefficients, and terms in the algebraic expressions below.
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Guided Practice:
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Independent Practice:
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Brainstorm words for the following
Addition Multiplication Subtraction Division
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Verbal Expressions Let’s brainstorm some verbal words for the following operations: Addition Subtraction Multiplication Division Exponents Equal
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Example Equal is equal balanced equivalent gives matches same
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