Tutorials

SAT-32: Factoring Advanced Quadratics (ax² + bx + c)

Factor quadratics where a ≠ 1 using the reliable AC (split-the-middle) method.

5 2m

SAT-Math-31: Factoring Standard Quadratics ($x^2 + bx + c$)

This lesson teaches students how to factor standard trinomial quadratics where the leading coefficient is 1, focusing on the "Product-Sum" method to find the correct binomial factors.

10 2m

SAT-Math-30: Factoring: Difference of Squares and Perfect Square Trinomials

This lesson covers two high-yield special factoring shortcuts on the SAT—the Difference of Squares and Perfect Square Trinomials—enabling students to identify patterns and factor quadratic expressions instantly without using the grouping method.

7 2m

SAT-Math-29: Factoring: Greatest Common Factor and Grouping

This lesson teaches students how to reverse polynomial multiplication by extracting the Greatest Common Factor (GCF) from an expression and applying the grouping method to factor multi-term polynomials.

SAT-Math-28: Multiplying Polynomials (FOIL and beyond)

This lesson teaches students how to multiply polynomial expressions, mastering the FOIL method for binomials and expanding to multi-term distribution systematically.

3 1m

SAT-Math-27: Introduction to Polynomials: Adding and Subtracting

This lesson introduces polynomials, defining terms like degrees and leading coefficients, and teaches students how to accurately add and subtract polynomial expressions by grouping like terms.

SAT-Math-26: Rationalizing Denominators

This lesson teaches students how to eliminate radicals from the denominator of a fraction, covering both single-term radicals and two-term radical expressions using the conjugate method.

SAT-Math-25: Simplifying Radical Expressions

This lesson teaches students how to simplify radical expressions by extracting perfect squares, performing arithmetic operations on radicals, and rewriting roots for optimal calculation speed.

SAT-Math-24: Negative and Fractional Exponents

This lesson covers how to interpret and manipulate expressions with negative and fractional (rational) exponents, teaching students how to flip bases to remove negatives and convert fractions into radicals.

SAT-Math-23: Laws of Exponents: Multiplication, Division, and Power-to-Power

This lesson covers the foundational rules of exponent mechanics, teaching students how to simplify expressions involving products, quotients, and powers of exponential terms with identical bases.

SAT-Math-22: Absolute Value Inequalities on the Number Line

This final lesson of Block A teaches students how to solve and graph absolute value inequalities, translating them into either bounded "sandwich" intervals or split "outer" intervals on the number line.

5 2m

SAT-Math-21: Systems of Linear Inequalities and Bounded Regions

This lesson teaches students how to graph systems of linear inequalities, identify their overlapping solution regions (bounded regions), and determine if specific coordinate points fall within the valid solution set.