Warm Up: Thursday, 08/21/14 Simplify. Leave as an improper fraction. − 1 2 − 2 2 - 5 8 1 3 − 4 5

Pre-Alg Vocabulary Review 08.21.14 Page 11

Update TOC

Today I will learn… Coefficients, Variables, and Terms and related vocabulary

Essential Question: How do variables and coefficients create terms?

Vocabulary: Expression Coefficient Equation Term Number Exponents Constant Variable

What is a Constant? A constant is a fixed value, a number on its own, whose value does not change. What is the constant in the expressions below? Example: 4x + 2 click to reveal In this expression 2 is a constant. Example: 11m - 7 click to reveal In this expression -7 is a constant.

What is a Variable? A variable is any letter or symbol that represents a changeable or unknown value. What is the variable? Example: 4x + 2 click to reveal In this expression x is a variable.

What is a Coefficient? A coefficient is the number multiplied by the variable. It is located in front of the variable. What is the coefficient in the expression below? Example: 4x + 2 click to reveal In this expression 4 is a coefficient.

If a variable contains no visible coefficient, the coefficient is 1. Example 1: x + 4 is the same as 1x + 4 - x + 4 is the same as -1x + 4 Example 2:

What is an exponent? The exponent is the number of times a number is to be multiplied by itself. For example, 52: the 2 means that 5 is being multiplied by itself twice The 2 can be referred to as squared or to the power of two. The 5 is called the base.

Terms Either a single number or a variable, or numbers and variables multiplied together. In a term, the coefficient and the variable are being multiplied by each other For example, 5x = 5 times x

Write Your Summary At the bottom of your Cornell notes page: Summarize your notes answering the essential question Be sure to include all definitions in the back of your INB

Identifying Algebraic Expressions and Equations August 22, 2014 Identifying Algebraic Expressions and Equations

Today I will learn… Polynomials: terms, exponents, and degrees

What does an algebraic expression contain? Click to reveal An expressions consists of 3 items ·numbers ·variables ·operations

Each term in an algebraic expression is separated by a plus (+) or minus ( - ) sign. 15w is an algebraic expression with one term. 7m - 12 is an algebraic expression with two terms. -4x + 3y - 20 is an algebraic expression with three terms.

Let's take a look and decide if the examples are expressions or not. What is the constant? ______________ What is the variable? ______________ What is the coefficient? ______________ Is it an algebraic expression? ______________ If yes, how many terms does it have? ______________ Answer: Yes, 2 terms Write your answers on a white board or in your notebook BEFORE checking your answers on the next slide!

Let's take a look and decide if the examples are expressions or not. What is the constant? 5 What is the variable? n What is the coefficient? 1 Is it an algebraic expression? Yes! If yes, how many terms does it have? 2 Answer: Yes, 2 terms

3b - 4c -7 What is/are the constants? ______________ What is/are the variables? ______________ What is/are the coefficients? ______________ Is it an algebraic expression? ______________ If yes, how many terms does it have? ______________ Answer: Yes, 2 terms Write your answers in your notebook BEFORE checking your answers on the next slide!

3b - 4c -7 What is/are the constants? -7 What is/are the variables? b and c What is/are the coefficients? 3 and 4 Is it an algebraic expression? YES! If yes, how many terms does it have? three Answer: Yes, 2 terms

p Let's try a challenge. What is the constant? ______________ What is the variable? ______________ What is the coefficient? ______________ Is it an algebraic expression? ______________ If yes, how many terms does it have? ______________ Answer: Yes, 1 term Write your answers in your notebook BEFORE checking your answers on the next slide!

Let's try a challenge. p What is the constant? none What is the variable? p What is the coefficient? 1 Is it an algebraic expression? YES! If yes, how many terms does it have? one Answer: Yes, 1 term