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?

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.

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.

Algebraic Expressions Identify any constants, coefficients, and terms in the algebraic expressions below.

Guided Practice:

Independent Practice:

Brainstorm words for the following Addition Multiplication Subtraction Division

Verbal Expressions Let’s brainstorm some verbal words for the following operations: Addition Subtraction Multiplication Division Exponents Equal

Example Equal is equal balanced equivalent gives matches same