Algebra 1

Midterm Exam Study Guide

The questions will come from any/all of the topics listed below. The test will be similar to the

tests we have taken throughout the school year.

TOPICS:

Chapter 1:Expressions, Equations, and Functions

1. Expression vs. Equation

2. Intro to equations and inequalities

3. Writing and Evaluating Algebraic Expressions

4. Using Expressions to write Equations and Inequalities

5. Intro to Functions (rules, tables and graphs)

6. Equations, Expressions, Inequalities

a. Term, like term

b. >, > =

c. Mathematical statement

Chapter 2: Properties of Real Numbers

1. Performing Operations with Real Numbers

a. Basic rules involving all operations of integers (positives and negatives)

2. Main Properties

a. Commutative Property

b. Associative Property

c. Identity Property

d. Inverse Property

e. Distributive Property

3. Classification of Numbers

a. REAL; rational, irrational

b. Integers, natural/counting numbers, whole numbers

c. Squares and square roots

Chapter 3: Solving Linear Equations

1. Solving One-step Equations

a. Using all properties of Equality (Addition, Subtraction, Multiplication and

Division)

2. Solving Two-step Equations

3. Solving Multi-step Equations

a. Combining like terms

b. Distributive Property

4. Solving Equations with Variables on both sides

5. Solving Proportion and Percent Problems

a. Use cross product property

6. Rewrite Equations and Formulas (literal equations)

(Tentative) EXAM DATE: Tuesday, February 5, 2013

Chapter 4: Graphing Linear Equations and Functions

1. Plotting points in a coordinate plane

2. Creating a table and a graph when given an equation in the form of y =

3. Graph using intercepts

4. Find Slope and Rate of Change

5. Graph using Slope-Intercept Form

a. Define Slope

b. y = mx + b

6. Undefined Slope and zero slope (what type of lines do they create)

7. Function notation

Chapter 5: Writing Linear Equations

1. Writing Linear Equations with a variety of forms

a. Slope-intercept form

b. Point-Slope Form

c. Standard (General Linear) Form

d. Equations of Lines that are Parallel and Perpendicular

Chapter 6: Solving and Graphing Linear Inequalities

1. Solving Inequalities

a. Addition and Subtraction Properties of Inequalities

b. Multiplication and Division Properties of Inequalities

2. Solve Multi-step Inequalities

3. Using inequalities to find angle measures and side lengths

4. Solve Compound Inequalities

a. Venn Diagrams

b. Intersection and Union

c. Graphing compound inequalities

5. Absolute Value Inequalities

a. Test Points