## Algebra Basics Homework

Product Description

Algebra Basics (Algebra 1 Curriculum - Unit 1)

This bundle contains notes, homework assignments, three quizzes, a study guide, and a test that address the following topics:

• The Real Number System

• Properties (includes a performance task!)

• Order of Operations

• Evaluating Expressions

• Matrices

• Translating Expressions

• Combining Like Terms

• Distributing

• Simplifying Expressions

• Two Step Equations

• Two-Step Inequalities**NEW: Assessments are now EDITABLE!** Now you can easily make multiple versions or customize to fit your needs! PowerPoint and Equation Editor (usually built in to PowerPoint) are required to edit these files. There is a folder titled "Editable Assessments" when you download. This is where you will find editable versions of each quiz and the unit test. If your Equation Editor is incompatible with mine, simply delete my equation and insert your own.**This resource is included in the following bundle(s):Algebra 1 First Semester Notes BundleAlgebra 1 Curriculum**

**More Algebra 1 Units:**

Unit 2 – Multi-Step Equations & Inequalities

Unit 3 – Relations & Functions

Unit 4 – Linear Equations

Direct and Inverse Variation (Mini-Unit)

Unit 5 – Systems of Equations & Inequalities

Unit 6 – Exponents and Exponential Functions

Unit 7 – Polynomials & Factoring

Unit 8 – Quadratic Equations

Unit 9 – Statistics

Unit 10 – Rational Expressions & Equations

Unit 11 – Radical Expressions & Equations

Unit 2 – Multi-Step Equations & Inequalities

Unit 3 – Relations & Functions

Unit 4 – Linear Equations

Direct and Inverse Variation (Mini-Unit)

Unit 5 – Systems of Equations & Inequalities

Unit 6 – Exponents and Exponential Functions

Unit 7 – Polynomials & Factoring

Unit 8 – Quadratic Equations

Unit 9 – Statistics

Unit 10 – Rational Expressions & Equations

Unit 11 – Radical Expressions & Equations

**LICENSING TERMS:**This purchase includes a license for

**one teacher only**for personal use in their classroom. Licenses are

**non-transferable**, meaning they can not be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. If you are a coach, principal, or district interested in transferable licenses to accommodate yearly staff changes, please contact me for a quote at allthingsalgebra@gmail.com.

**COPYRIGHT TERMS:**This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

Teaching Duration

3 Weeks

## Basic Algebra

### Also on IntMath

Related algebra chapters:

This chapter contains elementary algebra tutorials on the following topics:

1. Adding and Subtracting Algebraic Expressions, shows you how to do problems like: **Simplify:**−2[−3(*x* − 2*y*) + 4*y*].

2. Multiplication of algebra expressions, has examples like: **Expand **(2*x* + 3)(*x*^{2} − *x* − 5).

3. Division of algebraic expressions, for example: (12a^{2}b) ÷ (3ab^{2})

4. Solving Equations, like this one: 5 − (*x* + 2) = 5*x*.

5. Formulas and Literal Equations, which shows how to solve an equation for a particular variable.

6. Applied Verbal Problems shows **why** we are doing all this.

## What is Algebra?

Algebra is the branch of mathematics that uses letters in place of some unknown numbers.

You've been using algebra since your early schooling, when you learned formulas like the **area of a rectangle**, with width *w*, height *h*:

A=w×h

We used **letters to stand for numbers.** Once we knew the width and height, we could substitute them into the formula and find our area.

Another one you may have seen is the **area of a circle**, with radius *r*:

A= πr^{2}

As soon as we know the length of the sides, we can find the area.

**Literal numbers** (the letters used in algebra) can either stand for **variables** (the value of the letter can change, like the *w*, *h* and *r* in the examples of the area of a rectangle and the area of a circle) or **constants** (where the value does not change), for example:

π (the ratio circumference/diameter of a circle, value 3.141592....)

g(the accelaration due to gravity, 9.8 m/s^{2}),

e(which has a constant value of 2.781828...).

And as my students constantly ask...

## Why Do We Have to do This?

Algebra is a powerful **tool for problem solving** in science, engineering, economics, finance, architecture, ship-building and many other day-to-day tasks.

If we didn't use letters in place of numbers (and used words instead), we would be **writing many pages for each problem** and it would be much more confusing.

This **elementary algebra** chapter follows on from the earlier chapter on Numbers.

### If you find this chapter difficult...

If you struggle with this chapter, it may be a good idea to go back and remind yourself about basic number properties first, since that's important background.

### On with the show

OK, let's move on and learn some basic algebra tips:

1. Addition and Subtraction of Algebraic Expressions »

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