# Ch 1: On Core Mathematics Algebra 1 Unit 1: Algebraic Modeling and Unit Analysis

### About This Chapter

## How It Works:

- Find the lesson within this chapter that corresponds to what you're studying in the Algebraic Modeling and Unit Analysis chapter of your textbook.
- Watch fun videos that cover the mathematical concepts you need to learn or review.
- Complete the quiz after completing each lesson to test your understanding.
- If you need additional help, review the lessons until you've mastered the material, or submit a question for one of our instructors.

## Chapter Topics

You'll learn all of the mathematics topics covered in the textbook chapter, including:

- Steps to evaluate expressions using substitution
- Methods to simplify algebraic expressions
- How to write equations with inequalities
- Ways to represent functions as ordered pairs
- How to use plotting points to graph functions

*On Core Mathematics is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.*

### 1. How to Evaluate Expressions with Substitution

In this lesson, we will review the definition of an algebraic expression and order of operations. We will then look at how to evaluate algebraic expressions using substitution and practice the process on multiple examples.

### 2. How to Simplify Expressions with Integers

After watching this video lesson, you will be able to simplify any integer expression by following the order of operations. Learn what to watch for and in what order to do your operations.

### 3. Practice Simplifying Algebraic Expressions

In this lesson, we'll practice simplifying a variety of algebraic expressions. We'll use two key concepts, combining like terms and the distributive property, to help us simplify.

### 4. Writing Equations with Inequalities: Open Sentences and True/False Statements

After watching this video lesson you will be able to write open sentences and true or false statements that use inequalities. You will also be able to solve and/or determine whether a particular inequality is true or false.

### 5. Representing Functions as Ordered Pairs

Functions are a mathematical concept that show up everywhere in the world around us. This lesson will use definitions and examples to show how to use ordered pairs to represent functions.

### 6. Graph Functions by Plotting Points

Let's say you have a function. What does it look like? How do you graph it? In this lesson, we'll learn how to graph functions by determining and plotting points.

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### Other Chapters

Other chapters within the Harcourt On Core Mathematics - Algebra 1: Online Textbook Help course

- On Core Mathematics Algebra 1 Unit 2: Linear Equations and Inequalities
- On Core Mathematics Algebra 1 Unit 3: Systems of Equations and Inequalities
- On Core Mathematics Algebra 1 Unit 4: Linear Functions
- On Core Mathematics Algebra 1 Unit 5: Exponential Functions
- On Core Mathematics Algebra 1 Unit 6: Piecewise and Absolute Value Functions
- On Core Mathematics Algebra 1 Unit 7: Quadratic Functions of the Form of f(x) = a(x-h)^2 + k
- On Core Mathematics Algebra 1 Unit 8: Quadratic Functions of the Form of f(x) = ax^2 + bx + c
- On Core Mathematics Algebra 1 Unit 9: Data Analysis