SAT Math / Advanced Algebra

Mastering Constants

radicalAn expression written with a root symbol, such as a square root √x or a cube root ∛x.

You’ll leave with these skills

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

  1. Find a fixed constant from one known inputPlug in the known input and output to find blank.
  2. Tell an identity from an equation true at one inputWhen an equation is true for every xx, blank.
  3. Count a linear equation’s solutions from its coefficientsA linear equation has no solution when its blank.
  4. Compare whole equations to count a system’s solutionsTo compare two equations, blank.
  5. Turn a zero into a factorWhen p(r)=0p(r)=0, the polynomial p(x)p(x) has blank.
  6. Count a quadratic’s solutions with the discriminantA quadratic has exactly one real solution when blank.
  7. Read an exponential model’s constants from its outputsIn f(x)=a⋅bxf(x)=a\cdot b^x, each step of 1 in xx blank.
  8. Read the vertex from a quadratic’s constantsThe parabola y=a(x−h)2+ky=a(x-h)^2+k has its vertex at the point blank.
  9. Find a combination of constants without finding each oneTo find a combination like a+ba+b, blank.
  10. Rule out the excluded value when a constant sets the solutionA simplified fraction 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