# High School Algebra Worksheets

We start with the concept of expressions. A big focus is how to use expressions in practical situations to help you solve problems. We then transition to inequalities and how expressions fir into that window. We have you begin to create your own equations to solve problems in complex situations. We also fit a great deal of measurement based problems in this set. We have letter-sized Algebra Math Posters.

### Structure in Expressions

- Interpret the Context of Expressions(HSA-SSE.A.1a) - This selection of worksheets has you consider much more than just the math that is being presented, but the purpose being your evaluation.
- Algebraic Expressions(HSA-SSE.A.1a) - You will learn to create algebraic expression from math sentences.
- Complicated Expressions(HSA-SSE.A.1b) - This is a great section to make sure that students are ready for upper level math.
- Rewriting Expressions(HSA-SSE.A.2) - Being comfortable with navigating expressions is key to doing well in Algebra.
- Solving Quadratic Equations(HSA-SSE.B.3a) - This form of equation has a high level of application to many everyday situations.
- Completing the Square in a Quadratic Expression(HSA-SSE.B.3b) - This is a simple method for solving quadratics.
- Properties of Exponents(HSA-SSE.A.3c) - We look a every aspect of exponents.
- Writing Expression for Geometric Sequences(HSA-SSE.B.4) - Being able to model geometric sequences with math is a very elegant form of math.
- Polynomial Addition and Subtraction(HSA-APR.A.1) - It is a great deal of identifying like terms.
- Polynomial Multiplication(HSA-APR.A.1) - It is easier than it sounds.
- Adding, Multiplying, and Subtracting Monomials(Related to: HSA-APR.A.1) - Monomials are bit easier to work with.
- Polynomial Division(Related to: HSA-APR.A.1) - This takes some time to get comfortable with.
- Applying the Remainder Theorem(HSA-APR.B.2) - This constant helps us make sense of polynomials.
- Identifying Zeros of Binomials(HSA-APR.B.3) - Not that difficult of a topic, but the applications in Physics are pretty steep.
- Proving Polynomial Identities(HSA-APR.C.4) - These are equations that are always true for all possible values of the variables that are involved.
- Binomial Theorem for Expansion(HSA-APR.C.5) - The larger the power you are considering the more difficult it will be to expand an expression.
- Rewriting Rational Expressions(HSA-APR.D.6) - If you are comfortable with equations, expressions are pretty much the same level of difficulty.
- Adding and Subtracting Rational Expressions(HSA-APR.D.7) - This happens a lot when we are combining values.
- Multiplying and Dividing Rational Expressions(HSA-APR.D.7) - This is when we are full on evaluating a system.
- Multiplying Binomials(HSA-APR.D.7) - Four forms of multiplication take place here.
- Creating Equations and Inequalities(HSA-CED.A.1) - You will be given a scenario and you will need to make sense of the situation by writing your own equation or inequality to model it.
- Creating Equations with Two or More Variables(HSA-CED.A.2) - When you have more than just one missing part.
- Graphing Equations(HSA-CED.A.2) - Being able to visualize an equation is a powerful thing.
- Graphing Linear Equations(HSA-CED.A.2) - We focus on the relationships that can be identified by a line or trend.
- Word Problems That Require Equations or Inequalities(HSA-CED.A.3) - These problems will help you grow and become a better problem solver.
- Rearranging and Understanding Formulas(HSA-CED.A.4) - This is what Physics and Chemistry are all about. Outside of actually understanding the formulas.
- Explaining How to Solve Equations(HSA-REI.A.1) - Now you are asked to talk us through your thought process here.
- Solve Rational and Radical Equations(HSA-REI.A.2) - Radicals can make things difficult, if a perfect square is not present.
- Multiplying Radical Expressions(HSA-REI.A.2) - We focus on finding products and include negative values.
- Solving Linear Equations and Inequalities in One Variable(HSA-REI.B.3) - Work through that one variable to make it easier for you.
- Quadratic Equations: Completing the Square(HSA-REI.B.4a) - A method that helps you to quicker solution.
- Quadratics: Using Square Roots and Zero Property(HSA-REI.B.4b) - This can be applied when the conditions are set just right.
- Solving Quadratic Equations By Factoring(HSA-REI.B.4b) - If the quadratic is pretty standard, you can often apply this procedure to it.
- Using the Quadratic Formula(HSA-REI.B.4b) - It has so many daily applications in the real world, you would be surprised.
- Finding and Using the Discriminant(SA-REI.B.4b) - This tells us how possible solutions exist.
- Solving Systems of Equations(HSA-REI.C.5) - When two or more equations share the same variable, this applies.
- Solving Systems Word Problems(HSA-REI.C.5) - They are commonly found in word problems that you would not assume.
- Binary Operation Tables(HSA-REI.C.5) - Computer programmers think in this type of environment constantly.
- Solving Systems of Linear Equations by Graphing(HSA-REI.C.6) - Just find where they meet.
- Solving Simultaneous Equations (Linear and Quadratics)(HSA-REI.C.7) - This is great exercise for Algebra students.
- Linear Equations as a Matrix Equation(HSA-REI.C.8) - This is just another approach you should that you can take with it.
- Finding the Inverse of a Matrix(HSA-REI.C.9) - The same concept as a reciprocal.
- Using Graphs of Equations(HSA-REI.D.10) - The can be helpful and you can gain a lot of insight from them.
- Finding Points of Intersection for Complex Equations(HSA-REI.D.11) - This is helpful for solving small systems.
- Advanced Absolute Value Operations(HSA-REI.D.11) - This is whole next level.
- Graphing Linear Inequalities as a Half-Plane(HSA-REI.D.12) - This can tell you where a solution possibly exists.

### Polynomials & Rational Expressions

### Creating Equations

### Reasoning with Equations & Inequalities

### What is Algebra?

A branch of math, which includes numbers as well as symbols or letters of the alphabet for solving problems, is called Algebra. These symbols or letters are used to denote an unknown value. For example, if someone asks you a question, but you don't know the answer, the answer that has to be searched will be regarded as "x." Algebra is essential to math since it helps in finding solutions to most of the problems quite easily and quickly. To solve a problem, we create what is called an "equation." Whenever an expression entails a = sign, it is called equation. We study lots of fun things in algebra! Graphs, functions and relations, exponents, linear equations, and so much more! Algebra will also help you get a better understanding of Geometry, Trigonometry, Calculus, Arithmetic, etc.

**Tips for learning Algebra** -
If you get the jitters whenever you hear "algebra," then the first thing you need to do is calm down. And now, let us help you! Here are a few tips for you:
1. Don't forget that every math function comes down to basic addition and subtraction. Even multiplication and division are just slightly complex ways to add and subtract. Get your grip on basic math operations; the rest is easy.
2. Never forget the "PEMDAS." Whenever you are hit with an equation, the idea is to simplify it. The order of simplification is Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction.
3. In algebra, negative numbers are commonly used. So it's always a plus point in learning how to add, subtract, multiply and divide negative numbers before switching to algebraic equations.
4. When you see alphabets or variables, don't get confused. Just think of them as unknown numbers. This will make it easier for you to understand what step you have to take next.
5. Always remember to start working from left to right.
6. Review all the basic rules for math operations in algebra. They really ease solving sums!
7. There's no rush, always do your work carefully. And don't forget to recheck!