Algebra Overview
Algebra focuses on the study of mathematical symbols and the rules for manipulating these symbols to represent and solve equations and abstract mathematical structures. It involves analyzing patterns and relationships, solving equations and inequalities, simplifying expressions, and studying algebraic structures such as groups, rings, and fields. Algebra serves as a fundamental tool in various areas of mathematics and other disciplines, providing a framework for problem-solving, logical reasoning, and mathematical modeling.
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What you'll learn
- Arithmetic operations: Addition, subtraction, multiplication, and division of numbers and expressions.
- Variables and expressions: Understanding and manipulating algebraic expressions involving variables and constants.
- Equations and inequalities: Solving linear and quadratic equations, systems of equations, and solving and graphing inequalities.
- Functions: Defining, evaluating, and graphing functions, including linear, quadratic, exponential, and logarithmic functions.
- Polynomials: Understanding and performing operations on polynomials, factoring, and solving polynomial equations.
- Exponents and radicals: Simplifying and manipulating expressions with exponents and radicals, including rational exponents and complex numbers.
- Rational expressions: Simplifying, multiplying, dividing, and solving equations involving rational expressions.
- Linear equations and inequalities: Solving and graphing linear equations and inequalities, including systems of linear inequalities.
- Quadratic equations: Solving quadratic equations by factoring, completing the square, and using the quadratic formula.
- Matrices and matrix operations: Understanding matrices, performing operations such as addition, subtraction, and multiplication, and solving systems of equations using matrices.
- Functions and their properties: Understanding domain, range, composition, inverse functions, and transformations of functions.
- Sequences and series: Analyzing arithmetic and geometric sequences, calculating sums of series, and understanding recursive formulas.
- Coordinate geometry: Understanding and graphing equations of lines, circles, and conic sections.
- Logarithmic and exponential functions: Solving equations involving logarithms and exponentials, and understanding their properties and applications.
- Probability and statistics: Basic concepts of probability, including permutations, combinations, and basic statistical measures like mean, median, and standard deviation.
Meet Your Tutor

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Our eggy bread recipe is the perfect cross between a cheese and ham sandwich and classic French toast. Buttery, golden and just a bit crunchy, this dish is ideal if you’re craving some stodge, or need to ease a hangover. Cheese and ham is a delicious filling but this recipe would work just as well if you wanted to leave them out, and make some straightforward eggy bread instead. This eggy bread sandwich is great on it’s own, but you could also serve with some rocket, a handful of cherry tomatoes and a dollop of our easy homemade tomato ketchup. Season generously throughout.
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