Elementary Algebra

Unit 1 – Foundations

Unit 2 – Linear Equations and Inequalities

Unit 3 – Math Models

Unit 4 – Graphs

Unit 5 – Systems of Linear Equations

Unit 6 – Polynomials

Unit 7 – Factoring

Unit 8 – Rational Expressions and Equations

Unit 9 – Roots and Radicals

Unit 10 – Quadratic Equations

## What do you learn in Elementary Algebra

Elementary Algebra covers the basics of working with algebraic expressions and equations. You'll learn about variables, exponents, polynomials, and factoring. The course also dives into solving linear equations and inequalities, graphing on coordinate planes, and tackling word problems. It's all about building a solid foundation for more advanced math concepts.

## Is Elementary Algebra hard?

Elementary Algebra can be challenging if you're not comfortable with math. It introduces abstract concepts that might feel weird at first. But honestly, once you get the hang of it, it's not too bad. Most students find it manageable with some practice and patience. The key is to stay on top of your homework and ask for help when you need it.

## Tips for taking Elementary Algebra in high school

1. Use [Fiveable Study Guides](https://fiveable.me/cram-mode) to help you cram 🌶️
2. Practice, practice, practice - do extra problems beyond your homework
3. Create a "cheat sheet" with formulas and rules for quick reference
4. Use real-life examples to understand concepts (like slope in skateboard ramps)
5. Form a study group to tackle tough problems together
6. Watch math YouTube channels like PatrickJMT for extra explanations
7. Use algebra tiles or other manipulatives to visualize concepts
8. Try the movie "The Man Who Knew Infinity" for some math inspiration

## Common pre-requisites for Elementary Algebra

1. Pre-Algebra: This course covers basic arithmetic operations, fractions, decimals, and percentages. It introduces simple algebraic concepts to prepare you for Elementary Algebra.

2. Math Fundamentals: This class focuses on strengthening core math skills like number sense, basic operations, and problem-solving strategies. It's designed to build confidence in math before tackling algebra.

## Classes similar to Elementary Algebra

1. Geometry: This course explores shapes, sizes, and positions of figures. You'll learn about angles, triangles, circles, and how to calculate area and volume.

2. Algebra II: Building on Elementary Algebra, this class dives deeper into functions, complex numbers, and systems of equations. It also introduces logarithms and conic sections.

3. Trigonometry: This course focuses on the relationships between the sides and angles of triangles. You'll learn about sine, cosine, and tangent functions, and how to apply them to real-world problems.

## Majors related to Elementary Algebra

1. Mathematics: Focuses on the study of quantity, structure, space, and change. Students explore advanced mathematical concepts and theories.

2. Physics: Involves the study of matter, energy, and their interactions. Algebra is crucial for understanding and applying physical laws and principles.

3. Engineering: Applies scientific and mathematical principles to design and develop structures, machines, and systems. Algebra is fundamental in solving engineering problems.

4. Computer Science: Deals with the theory and practice of computation and information processing. Algebraic thinking is essential for programming and algorithm development.

## What can you do with a degree in Elementary Algebra?

1. Data Analyst: Collects, processes, and performs statistical analyses of data. They use algebraic skills to interpret complex data sets and create reports for businesses.

2. Financial Advisor: Helps individuals and businesses make informed decisions about investments, savings, and financial planning. They use algebraic concepts to calculate interest rates, returns, and risk assessments.

3. Actuary: Assesses financial risks using mathematics, statistics, and financial theory. They apply algebraic skills to analyze the costs of potential events and help businesses develop policies to minimize risk.

4. Quality Control Specialist: Ensures that products and processes meet specific standards. They use algebraic formulas to calculate tolerances, analyze data, and maintain quality metrics.

## Elementary Algebra FAQs

1. How often should I practice algebra problems? Aim to practice a little bit every day, even if it's just 15-20 minutes. Consistent practice is key to mastering algebraic concepts.

2. Is it okay to use a calculator in Elementary Algebra? While calculators can be helpful, try to solve problems without them first. This helps you understand the underlying concepts better.

3. How can I improve my word problem-solving skills? Start by identifying the important information and translating it into algebraic expressions. Practice regularly and don't be afraid to draw diagrams or charts to visualize the problem.

4. What's the best way to memorize algebraic formulas? Instead of pure memorization, focus on understanding why the formulas work. Create mnemonic devices or visual aids to help remember them, and use them frequently in practice problems.

Algebra

1.1 Introduction to Whole Numbers

1.2 Use the Language of Algebra

1.3 Add and Subtract Integers

1.4 Multiply and Divide Integers

1.5 Visualize Fractions

1.6 Add and Subtract Fractions

1.7 Decimals

1.8 The Real Numbers

1.9 Properties of Real Numbers

1.10 Systems of Measurement

2.1 Solve Equations Using the Subtraction and Addition Properties of Equality

2.2 Solve Equations using the Division and Multiplication Properties of Equality

2.3 Solve Equations with Variables and Constants on Both Sides

2.4 Use a General Strategy to Solve Linear Equations

2.6 Solve a Formula for a Specific Variable

2.5 Solve Equations with Fractions or Decimals

2.7 Solve Linear Inequalities

3.1 Use a Problem-Solving Strategy

3.2 Solve Percent Applications

3.3 Solve Mixture Applications

3.4 Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem

3.5 Solve Uniform Motion Applications

3.6 Solve Applications with Linear Inequalities

4.1 Use the Rectangular Coordinate System

4.2 Graph  Linear Equations in Two Variables

4.3 Graph with Intercepts

4.4 Understand Slope of a Line

4.5 Use the Slope-Intercept Form of an Equation of a Line

4.6 Find the Equation of a Line

4.7 Graphs of Linear Inequalities

5.1 Solve Systems of Equations by Graphing

5.2 Solving Systems of Equations by Substitution

5.3 Solve Systems of Equations by Elimination

5.4 Solve Applications with Systems of Equations

5.5 Solve Mixture Applications with Systems of Equations

5.6 Graphing Systems of Linear Inequalities

6.1 Add and Subtract Polynomials

6.2 Use Multiplication Properties of Exponents

6.3 Multiply Polynomials

6.4 Special Products

6.5 Divide Monomials

6.6 Divide Polynomials

6.7 Integer Exponents and Scientific Notation

7.1 Greatest Common Factor and Factor by Grouping

7.2 Factor Trinomials of the Form x2+bx+c

7.3 Factor Trinomials of the Form ax2+bx+c

7.4 Factor Special Products

7.5 General Strategy for Factoring Polynomials

7.6 Quadratic Equations

8.1 Simplify Rational Expressions

8.2 Multiply and Divide Rational Expressions

8.3 Add and Subtract Rational Expressions with a Common Denominator

8.4 Add and Subtract Rational Expressions with Unlike Denominators

8.5 Simplify Complex Rational Expressions

8.6 Solve Rational Equations

8.7 Solve Proportion and Similar Figure Applications

8.8 Solve Uniform Motion and Work Applications

8.9 Use Direct and Inverse Variation

9.1 Simplify and Use Square Roots

9.2 Simplify Square Roots

9.3 Add and Subtract Square Roots

9.4 Multiply Square Roots

9.5 Divide Square Roots

9.6 Solve Equations with Square Roots

9.7 Higher Roots

9.8 Rational Exponents

10.1 Solve Quadratic Equations Using the Square Root Property

10.2 Solve Quadratic Equations by Completing the Square

10.3 Solve Quadratic Equations Using the Quadratic Formula

10.4 Solve Applications Modeled by Quadratic Equations

10.5 Graphing Quadratic Equations in Two Variables

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