Download 2.01 Note Taking Guide

Math 1- Module 2 Study Guide
Use this guide to take notes as you read each lesson in module 4. On the left side of your two-column
notes, copy all vocabulary and other information you need. On the right side, write down detailed
examples. Remember, you can use your notes on assessments, module tests and segment exams.
Lesson 2.01: Variables and Expressions
Variable:
Why do we use variables to represent numbers?
Example from Lesson
Constant:
Example from Lesson
Expression:
Example from Lesson
Numerical Expression:
Example from Lesson
Algebraic Expression:
Example from Lesson
Algebraic Expressions can be used to represent real-world
situations:
Example from Lesson
Multiplying a constant and a variable:
Example from Lesson
Always write the constant
before the variable.
Coefficient:
Example from Lesson
When 1 is the coefficient of an expression:
Example from Lesson
Terms are separated by + or – signs.
Example from Lesson
Numerical or Constant Terms:
Algebraic or Variable Terms:
Lesson 2.02: Writing Algebraic Expressions
When translating phrases into algebraic expressions, look
for the key word or words which imply a mathematical
operation.
Words that indicate Addition (+):
Example from Lesson
Example from Lesson
Words that indicate Subtraction (-):
Example from Lesson
Words that indicate Multiplication (x):
Example from Lesson
Words that indicate Division (÷):
Example from Lesson
Example from Lesson
Remember: When you are writing a subtraction or
division, you must be careful to translate the order of the
operation correctly.
eight subtracted from a number
N–8
To create algebraic expressions from real-world problems,
follow the steps shown below.
Step 1: Identify the key words.
Tell what operation they indicate.
Step 2: Define the variable.
Step 3: Work the problem out in words.
Step 4: Write the algebraic expression by plugging in the
known value(s) and the variable.
Lesson 2.03: Evaluating Algebraic Expressions
To Evaluate an expression:
Example from Lesson
Example from Lesson
When evaluating expressions that contain more than one
operation, remember to substitute for each appearance of
the variable and then apply the order of operations.
Evaluate 3x + 2 + x2 when x = 5
To create algebraic expressions from real-world problems,
follow the steps shown below.
Example from Lesson
Step 1: Identify the key words.
Tell what operation they indicate.
Step 2: Define the variable.
Step 3: Work the problem out in words.
Step 4: Write the algebraic expression by plugging in the
known value(s) and the variable.
To evaluate the algebraic expression, follow the steps
shown below.
Step 1: Rewrite the expression by replacing the variable
with a number.
Step 2: Perform the indicated operation using the order of
operations (PEMDAS).
Step 3. Answer the question posed in the problem.
Remember! The order of operations from
lesson 1.03. Perform work inside Parentheses first. Next,
solve for the value of any Exponents, Multiply or Divide
however they appear from left to right. Finally, Add or
Subtract however they appear from left to right.