SAT Math / Algebra Foundations

Algebraic Manipulation

equationA math statement with an equals sign, saying two amounts are the same.

You’ll leave with these skills

You’ll fill in the blanks as the lesson teaches each skill.

  1. Combine only terms with the same variable partOnly terms with the same blank.
  2. Multiply every term by every termTo multiply two groups, blank.
  3. Factor a quadratic by its product and sumTo factor a quadratic that starts with x2x^2, blank.
  4. Cancel whole factors and keep the excluded valuesOnly blank.
  5. Let the operation choose the exponent ruleDividing powers of one base blank.
  6. Rewrite roots as powers and clear a root from the bottomTo clear a root from a fraction’s bottom, multiply the top and bottom blank.
  7. Isolate a variable by undoing the last operation firstTo solve a formula for one letter, blank.
  8. Find the quantity the question asks forWhen a question asks for an expression, blank.

This lesson is part of the full library

129 lessons that teach every skill the SAT tests
  • 66Math
  • 39Reading
  • 24Grammar
  • 10 full-length practice tests to build test-day stamina and confidence
  • A Desmos simulator to solve math questions faster
  • A step-by-step guide to every practice test question
  • The Bluebook Simulator, so test day feels familiar
  • A drawing for every key term, so new ideas make sense at a glance

Explore the full library