Learn Algebra Today: From Foundation To Advanced Algebra

Discover algebra basics by exploring variables, roots, and cubes, and practice techniques to speed up solves and rely less on calculators, guided by professional maths tutor Kyle De Vos.

Learn variables as placeholders in algebra, using letters or words, and grasp how many solutions an equation can have, from single answers to multiple or infinite in later topics.

Explore how to work with fractions in algebra by adding, subtracting, multiplying, and dividing, using identical denominators and the lowest common denominator (lcd), and applying the reciprocal rule for division.

Divide fractions by multiplying with the reciprocal after flipping the second fraction, then simplify the resulting fraction using common factors or cross cancellation.

Kyle checks in to encourage consistent, paced practice in algebra, inviting questions, feedback, and ratings to improve the course and support your journey from foundation to advanced algebra.

Learn to quickly recognize and calculate perfect squares and cubes, seeing numbers like 4 = 2^2 and 100 = 10^2, while building mental math speed and intuition for exponents.

Explore perfect cubes and exponent notation, comparing with perfect squares, using examples like 1^3, 2^3=8, and 3^3=27 to recognize cube patterns.

Explore roots in algebra, from square roots to cube roots, and how perfect squares and cubes relate to the root. Recognize root symbol and notation as the opposite of exponentiation.

Explore combination operations of fractions, including multiplication and subtraction, using order of operations and brackets. Learn to find a common denominator and convert division to multiplication when simplifying.

Apply algebra basics through practice questions on perfect squares and cubes, explore roots, perform fraction operations, tackle a fraction-on-a-fraction challenge, and download supporting resources.

Master fraction operations without a calculator, including addition, subtraction, multiplication, and division, by finding the lowest common denominator, converting fractions, applying reciprocal rules, and simplifying.

Learn to treat variables as placeholders and practice addition and subtraction using real-world objects like apples and cake. Build comfort with like terms and the basics of algebra.

Explore multiplication and division with variables, clarifying how exponents change with variable operations and why adding variables doesn’t alter powers, using apples as examples.

Explore the rules of signs for multiplication, showing that positive times positive and negative times negative are positive, while positive times negative is negative, with practice and the face method.

Learn division sign rules in algebra, where positive divided by positive is positive, negative divided by negative is positive, and mixed signs are negative, with fraction simplifications.

Explore how the distributive law multiplies an outside quantity across the inside of a bracket, first with numbers, then with variables, and handle signs using an imaginary one.

Practice exercises show how to add and subtract real-world quantities and variables, using apples, cores, and zebras to work through examples like 3a+5, 12a-9a, and 50z+12z-9z.

Explore operations in algebra by solving negative and positive multiplication and division, using three methods: across multiplication, fraction simplification, and bracketed step-by-step approaches.

Apply the distributive property to algebra with fractions, convert to fractions when needed, multiply numerators and denominators, and simplify terms like 3/5(−10t−9) including negative values.

Explore operations in algebra through practice exercise solutions, applying the distributive law to fractions and combining like terms to solve complex expressions.

Review your algebra performance by analyzing practice questions and worksheet examples. Focus on challenging areas like sign operations, distributive law, and canceling expressions, with targeted feedback.

Learn to identify like terms and unlike terms in algebra by examining variables, powers, and order; understand coefficients, base, and exponents to simplify polynomials.

Identify like terms and unlike terms, then group them to simplify expressions. Add or subtract grouped terms to combine coefficients and produce a simpler expression.

Identify and group like terms, reorder alphabetically, and combine coefficients to simplify a polynomial; demonstrated in worked example 2, yielding -a^2 b - 6 a^2 b^3 + 4 a c.

Apply the distributive law to expand expressions with brackets, then identify and group like terms by the variable, and finally add or subtract to simplify.