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
• Translating Expressions
• Combining Like Terms
• 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 Bundle
Algebra 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
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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 − 2y) + 4y].
2. Multiplication of algebra expressions, has examples like:
Expand (2x + 3)(x2 − x − 5).
3. Division of algebraic expressions, for example: (12a2b) ÷ (3ab2)
4. Solving Equations, like this one: 5 − (x + 2) = 5x.
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 = πr2
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/s2),
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 »