Algebra

Algebra introduces the use of variables and symbols to represent unknown quantities and relationships. This topic spans simplifying expressions, factoring polynomials, solving equations and inequalities, the binomial theorem, partial fractions, and systems of linear equations, forming the backbone of higher mathematics.

Algebraic reasoning is used in computer programming, engineering, finance, and science whenever you need to model relationships, solve for unknowns, or analyze patterns.

Practice Tips

• 1When factoring quadratics, check whether the discriminant is a perfect square to decide if the expression factors over the integers.
• 2For systems of equations, choose elimination when coefficients align easily and substitution when one variable is already isolated.
• 3In word problems, define your variables clearly and translate one sentence at a time into an equation before solving.