Algebra 1 Online!
Henrico County Public Schools, Virginia
Expressions and Operations

Equations and Inequalities



SOL Review Materials
The student will perform operations on polynomials, including
a)   applying the laws of exponents to perform operations on expressions;

Essential Knowledge and Skills 
  • Simplify monomial expressions and ratios of monomial expressions in which the exponents are integers, using the laws of exponents.
Essential Understandings
  • The laws of exponents can be investigated using inductive reasoning. 
  • A relationship exists between the laws of exponents and scientific notation.
Vertical Articulation
  1. SOL 7.16 - apply properties w/ real numbers: a) commutative and associative properties for add/multi; b) distributive property; c) add/multi identity properties; d) add/multi inverse properties; e) multi property of zero
  2. SOL 8.15 - c) identify properties of operations used to solve equations
  3. SOL AII.3 - perform operations on complex numbers/express results in simplest form using patterns of the powers of i/ID field properties for complex numbers
Instructional Materials
  1. VDOE ESS Lesson: Exponents - Expressions and Operations (PDF) - Using exponents (Word)
  2. VDOE ESS Lesson: Scientifically Speaking - Expressions and Operations (PDF) - Working with scientific notation (Word)
  3. Notes: Laws of Exponents (ppt)
Real World Lessons
  1. VDOE ESS: Exploring Exponents (pdf)
  2. VDOE ESS: Scientifically Speaking (pdf)
  3. Worksheet: Laws of Exponents CW (doc)
  4. Worksheet: Laws of Exponents HW (doc)
  5. ExamView Quiz: Multiplying Monomials
  6. Prentice Hall Quiz: Multiplying
  7. Prentice Hall Quiz: Power of a Power
  1. Monomial Magic (doc)
  1. Video: PH Multiplying Powers with the Same Base
  2. Video: PH Multiplying Powers in an Algebraic Expression
  3. Video: PH Simplifying a Power Raised to a Power
  4. Video: PH Raising a Product to a Power
Explore Learning
  1. Exponents and Power Rules - Choose the correct steps to simplify expressions with exponents using the rules of exponents and powers. Use feedback to diagnose incorrect steps.
  2. Multiplying Exponential Expressions - Choose the correct steps to multiply exponential expressions. Use the feedback to diagnose incorrect steps.
  1. Interactive Notes: Rules for Exponents - lessons and practice problems at
  2. Notes: Rules for Exponents - displays all of the rules for exponents at
Old Website Links
Common Core Standards
7.EE.1 8.EE.1 N-RN.1 N-RN.2 A-SSE.3b A-SSE.3c A-APR.1 A-APR.4