Learn: Introduction to Algebra

Welcome!Today we'll dive into the world of Algebra. It's an exciting topic that helps you solve problems using symbols and equations. Let's explore it step by step!

What is Algebra?Algebra is the branch of mathematics that uses letters, symbols, and numbers to represent relationships and solve problems. It helps us find unknown values and understand patterns in a wide range of scenarios.

Algebraic ExpressionsAn algebraic expression is a combination of numbers, variables (letters), and operations like addition, subtraction, multiplication, and division. For example, 2x + 3 is an algebraic expression where x is a variable.

Simplifying Algebraic ExpressionsSimplifying means making an expression easier to work with by combining like terms. Like terms are terms that have the same variable and exponent. For example, in 3x + 2x, both terms are 'like terms' because they involve x.

Substituting into Algebraic ExpressionsSubstitution means replacing variables in an expression with numerical values. For example, if x = 2, then for the expression 3x + 4, we substitute x with 2: 3 × 2 + 4 = 6 + 4 = 10.

Expanding BracketsExpanding brackets means multiplying each term inside the brackets by the term outside. For example, to expand 3(x + 2), multiply 3 by both x and 2: 3x + 6.

Factorising ExpressionsFactorising is the opposite of expanding brackets. It involves taking out the common factor from all terms. For example, 6x + 12 can be factorised as 6(x + 2).

Review Time!Great work! You've learned about algebraic expressions, simplifying, substitution, expanding brackets, and factorising. Let's test your understanding with these final questions.