Aniko

100% Free • No Registration Required

Master SAT Advanced Algebra

Rewrite expressions and solve quadratics, radical, rational, polynomial, and exponential equations with the fastest reliable method.

  • 16 interactive lessons
  • Step-by-step worked examples
  • SAT-style practice questions
Start Lesson 1Browse all lessons

Beginner

  1. Lesson 10%Distribute, combine, and rewrite expressionsRewrite polynomial expressions exactly by distributing every factor, controlling subtraction signs, combining like terms, and expanding products in a reliable order.30 min · 3 practice problems
  2. Lesson 20%Use exponent rules and common basesCombine powers exactly by matching bases, applying outside exponents to every factor, interpreting zero and negative exponents, and rewriting powers of numbers with one common base.25 min · 3 practice problems

Intermediate

  1. Lesson 30%Rewrite radicals and rational exponentsMove between roots and fractional powers, rewrite mixed radicals exactly, and choose when full-curve overlap beats longer exponent work.38 min · 3 practice problems
  2. Lesson 40%Factor algebraic expressionsRewrite polynomial expressions as products by taking out the greatest common factor, recognizing differences of squares, factoring quadratic trinomials, and reusing shared structure.30 min · 3 practice problems
  3. Lesson 50%Rewrite rational expressions and preserve restrictionsChoose algebra or graph overlap to factor, cancel, combine, and split polynomial fractions while keeping every original denominator restriction.30 min · 3 practice problems
  4. Lesson 70%Solve quadratic equations by factoringChoose graph overlap or visible factoring, then give every real solution, one specific root, or the exact value the question asks for.28 min · 3 practice problems
  5. Lesson 80%Use the quadratic formula and discriminantGraph quadratics when a decimal answer is fine or the answer choices differ as decimals, use exact algebra for radical answers, and use the discriminant to count real solutions.30 min · 4 practice problems
  6. Lesson 90%Connect quadratic roots and coefficientsUse the sum, product, or known values of quadratic roots to find coefficients and related expressions without solving the equation again.28 min · 3 practice problems
  7. Lesson 100%Solve absolute value equationsChoose between graphing the original sides and exact two-case reasoning to solve linear absolute value equations, then give the result the SAT asks for.27 min · 3 practice problems
  8. Lesson 120%Rearrange nonlinear formulasIsolate one variable in a nonlinear formula while keeping the branch or restriction that makes the result valid.26 min · 3 practice problems
  9. Lesson 130%Solve radical equationsChoose between graphing the original sides and exact algebra to solve radical equations, then use the original equation to reject extraneous solutions.27 min · 3 practice problems
  10. Lesson 140%Solve rational equationsRecord denominator restrictions, choose a short LCD or a graph of the original sides, and reject values that fail the original rational equation.30 min · 3 practice problems
  11. Lesson 150%Solve exponential equationsChoose between common-base algebra and graphing, find every valid solution, and give the exact value the question asks for.25 min · 3 practice problems

Advanced

  1. Lesson 60%Use polynomial identities, factors, and unknown coefficientsUse identities, strategic inputs, given factors, and matching polynomial coefficients to find unknown constants and the expressions SAT questions ask for.24 min · 3 practice problems
  2. Lesson 110%Solve higher-degree equations from structureChoose x-intercept graphing or structural algebra for higher-degree polynomial equations, find every real root, and give the result the question asks for.29 min · 3 practice problems
  3. Lesson 160%Solve linear and nonlinear systemsCombine linear and nonlinear conditions, find their common solutions, control the number of intersections with a constant, and give the exact quantity the question asks for.29 min · 3 practice problems