Math Rocket: The Best 2024/2025 Digital SAT Math Prep Course

Master numerical expressions by applying the order of operations—parentheses, exponents, multiplication and division, and addition and subtraction—using the pemdas mnemonic.

Learn to simplify algebraic expressions by applying distributive property, combining like terms, and evaluating expressions with integers and absolute values for digital SAT prep.

Explore the coordinate system by extending a number line into a coordinate plane, using ordered pairs (x, y) to plot points, identify quadrants, and interpret x- and y-intercepts.

Explore dilation, a transformation that scales a figure by a scale factor k by multiplying coordinates; k>1 enlarges, 0<k<1 reduces, illustrated by scaling a triangle.

Learn how to identify the domain and range of a relation and determine whether a set of ordered pairs defines a function. Explore function notation f(x) and evaluating functions.

Learn to solve equations by isolating the variable, moving terms across sides, applying the distributive property, and combining like terms to recognize one, infinite, or no solutions.

Learn to solve compound inequalities using and or, graph the solutions on number lines, and express results in set notation by finding intersections and unions of partial inequalities.

Learn to solve absolute value inequalities by splitting into two cases, use intersection for less-than scenarios and union for greater-than ones, and graph results on the number line.

Master the substitution method for solving systems of equations by solving for one variable and substituting into the other, with examples illustrating solutions and no solution cases.

Master solving systems of equations using the elimination method by adding equations to cancel a variable, then substituting back to find both variables.

Factor a quadratic trinomial by rewriting it as a product of two binomials, choosing factors through trial and error to match the middle term.

Learn to solve quadratic equations by factoring, identify the roots (zeros) as the x-intercepts, and apply the zero product property through step-by-step examples.

Learn to complete the square to convert quadratic expressions into a perfect square, ensure the x^2 term has coefficient 1, compute C as (B/2)^2, and solve by taking square roots.

Solve quadratic equations using the quadratic formula, a standard form ax^2+bx+c=0 with a not equal to zero; compute x = (-b ± sqrt(b^2 - 4ac)) / (2a).

Explore horizontal and vertical translations of quadratic functions in vertex form, shifting right or left by h and up or down by k, while a controls opening and width.

Explore special products for factoring polynomials using the square of a sum, square of a difference, and the product of a sum and a difference, illustrated by 2x+5 and 2x-5.

Discover synthetic division for dividing polynomials by a binomial, obtain quotients and remainders, and apply the remainder theorem; practice synthetic substitution to evaluate functions.

Graph polynomial functions by building value tables, plotting points, and analyzing behavior as x approaches infinity, considering even/odd degree, zeros, sign changes, and turning points.

Explore the fundamental theorem of algebra, showing every nonzero polynomial has a complex root, with examples of real, imaginary, and multiple roots across degrees.

Explore exponential functions, y = a b^x, covering domain all real numbers, positive or negative range, 1-1 and continuous, x-axis asymptote, and y-intercept a, with graphing examples.

Learn how exponential functions transform via y = a b^(x−h) + k, including horizontal shifts, vertical translations, and reflections. Explore how a's magnitude controls stretch or compression with real examples.

Apply the product property of radicals to separate and simplify expressions under radicals, for even and odd roots, with examples illustrating how to break multi-term radicals into separate radicals.

Explore properties of radicals, multiply and simplify radicals using FOIL, rationalize denominators with conjugates, and combine like terms in addition and subtraction of radical expressions.

Solve radical equations by raising both sides to the root's index, using square and cube roots, and verify solutions to avoid extraneous results.

Master simplifying rational expressions by factoring polynomials, canceling common factors, and recognizing domain exclusions where the denominator is zero.

Learn to solve rational equations by eliminating fractions, cross-multiplying with the LCD, and isolating x through distributing and combining like terms with examples.

Explore sequences and arithmetic sequences, identify the first term and common difference, and use a_n = a1 + (n-1) d to find any term, including a10, with positive integer order.

Define geometric sequences through the common ratio, apply the formula a_n = a_1 r^{n-1}, and practice finding terms from examples.

Delve into midpoints and segment bisectors, learning how to locate a midpoint and apply bisector concepts to geometric problems, with SAT math prep strategies.

Explore congruent, adjacent, vertical, linear pair, complementary, and supplementary angles, learn to denote congruence with arcs, and solve problems using angle relationships.

Explore the properties of congruence in geometry, including reflexive, symmetric, and transitive. Learn to construct two-column and paragraph proofs with angle and segment examples and definitions such as supplementary angles.

Explore right triangle congruency by using a shared hypotenuse and a pair of corresponding legs to prove right triangles are congruent, then determine angle measures from examples.