Ms. Walsh's Unofficial Final Exam Study Guide

Every chapter, every section, ready to review.

Twelve chapters from Algebra: Structure and Method, Book 1, broken down by numbered subsection. Each topic has a short overview, key ideas, worked examples, and practice problems with answers you can reveal.

Remember: this is an unofficial guide. It covers the basic skills you learned this year. For more advanced problems, please refer to your textbook.

1

Introduction to Algebra

9 topics

Build the language of algebra: variables, expressions, equations, and the number line.

1-11-21-31-41-51-61-71-81-9
2

Working with Real Numbers

9 topics

Add, subtract, multiply, and divide positive and negative numbers with confidence.

2-12-22-32-42-52-62-72-82-9
3

Solving Equations and Problems

8 topics

Master the moves that transform equations and use them to solve word problems.

3-13-23-33-43-53-63-73-8
4

Polynomials

10 topics

Work with exponents and polynomials—add, subtract, and multiply expressions with many terms.

4-14-24-34-44-54-64-74-84-94-10
5

Factoring Polynomials

13 topics

Reverse multiplication: break polynomials into a product of simpler factors.

5-15-25-35-45-55-65-75-85-95-105-115-125-13
6

Fractions

7 topics

Simplify, multiply, divide, add, and subtract algebraic fractions.

6-16-26-36-46-56-66-7
7

Applying Fractions

10 topics

Use fractions for ratios, proportions, percents, mixtures, work, and scientific notation.

7-17-27-37-47-57-67-77-87-97-10
8

Introduction to Functions

10 topics

Connect equations, graphs, and functions in the coordinate plane.

8-18-28-38-48-58-68-78-88-98-10
9

Systems of Linear Equations

7 topics

Solve two equations in two unknowns by graphing, substitution, and elimination.

9-19-29-39-49-59-69-7
10

Inequalities

8 topics

Solve and graph inequalities in one and two variables, including absolute value.

10-110-210-310-410-510-610-710-8
11

Rational and Irrational Numbers

10 topics

Explore rational and irrational numbers, square roots, and the Pythagorean Theorem.

11-111-211-311-411-511-611-711-811-911-10
12

Quadratic Functions

8 topics

Solve quadratic equations using square roots, completing the square, and the quadratic formula.

12-112-212-312-412-512-612-712-8