Master SAT Advanced Algebra

Rewrite 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

Combine 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

Move between roots and fractional powers, rewrite mixed radicals exactly, and choose when full-curve overlap beats longer exponent work.

38 min · 3 practice problems

Rewrite 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

Choose algebra or graph overlap to factor, cancel, combine, and split polynomial fractions while keeping every original denominator restriction.

30 min · 3 practice problems

Choose 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

Graph 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

Use 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

Choose 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

Isolate one variable in a nonlinear formula while keeping the branch or restriction that makes the result valid.

26 min · 3 practice problems

Choose 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

Record 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

Choose between common-base algebra and graphing, find every valid solution, and give the exact value the question asks for.

25 min · 3 practice problems

Use 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

Choose 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

Combine 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