algebra exam

Function Foundations

• Function notation

• 10 BFF Functions

• Graph analysis (domain, range, increasing, decreasing)

• Piecewise functions

Absolute Value

• Graphing functions

• Solving equations

• Linear and compound inequalities

• Solving inequalities

Simplifying expressions with exponents – including rational exponents

Radical Operations

• Simplifying 

• Operations (add, subtract, multiply, divide)

• Rationalizing and conjugates

Complex Numbers

• Powers of i

• Simplifying

• Operations (add, subtract, multiply, divide)

• Conjugates 

Factoring

• GCF

• a=1 and a>1

• Special cases 

• Grouping

• Multi-step factoring

Quadratic Functions

• Graphing equations & inequalities

• Converting between vertex & standard form

• Solve quadratics

  • Factoring

  • Completing the square

  • Quadratic formula

Building quadratics from roots

Writing equations from a graph

Radical Functions

• Graphing

• Solving radical equations

• Extraneous solutions 

Systems of equations

Polynomial Functions

• End behavior / degree / leading coefficient

• Sketching

• Polynomial Long Division

• Synthetic Division

• Solving Polynomials

  • Solving by factoring

  • Solving given a root

Rational Functions

• Simplifying

• Excluded values

• Operations (add, subtract, multiply, divide)

• Solve rational equations

• Complex Fractions

• Graph features 

  • Asymptotes

  • Holes

Exponential and Logarithmic Functions

• Solving exponential equations

• Converting between forms

• Graph features 

  • Asymptotes

  • Key points

Other topics

• Compositions

• Inverses