Mathematics 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.
Mathematics 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.
Mathematics 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.
Mathematics 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.
Mathematics 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.
Mathematics SAT-Math-20: Systems with No Solution This lesson teaches students how to recognize systems of linear equations that have no solution, analyzing them geometrically as parallel lines and algebraically as equations with identical variable slopes but different constant values.
Mathematics SAT-Math-19: Systems with Infinite Solutions This lesson teaches students how to recognize systems of equations that have infinitely many solutions, analyzing them both geometrically as identical lines and algebraically using proportional coefficients.
Mathematics SAT-Math-18: Word Problems Involving Systems of Linear Equations This lesson teaches students how to break down complex, multi-sentence word problems into a system of two linear equations, focusing on distinguishing between quantity equations and value/cost equations.
Mathematics SAT-Math-17: Systems of Linear Equations: Solving by Elimination This lesson teaches students how to solve a system of linear equations using the elimination method, focusing on multiplying equations to align coefficients and canceling variables efficiently.
Mathematics SAT-Math-16: Systems of Linear Equations: Solving by Substitution This lesson teaches students how to solve a system of two linear equations using the substitution method, emphasizing when to choose this strategy and how to execute it without arithmetic errors.
Mathematics SAT-Math-15: Modeling Real-World Scenarios with Inequalities This lesson teaches students how to construct linear inequalities from real-world constraints, budgets, and minimum/maximum requirements expressed in word problems.
Mathematics SAT-Math-14: Graphing Linear Inequalities on the Coordinate Plane This lesson teaches students how to represent linear inequalities visually on the $xy$-plane by drawing boundary lines and determining the correct solution region through shading.