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

Equations and Inequalities



SOL Review Materials
The student will represent verbal quantitative situations algebraically and evaluate these expressions for given replacement values of the variables.
Essential Knowledge and Skills 
  • Evaluate algebraic expressions for a given replacement set to include rational numbers.
  • Evaluate expressions that contain absolute value, square roots, and cube roots.
Essential Understandings
  • The numerical value of an expression is dependent upon the values of the replacement set for the variables.
  • There are a variety of ways to compute the value of a numerical expression and evaluate an algebraic expression.
  • The operations and the magnitude of the numbers in an expression impact the choice of an appropriate computational technique.
  • An appropriate computational technique could be mental mathematics, calculator, or paper and pencil.
Vertical Articulation
  1. SOL 7.1 - b) determine scientific notation for numbers > 0; c) compare/order fractions/decimals/percents, and scientific notation
  2. SOL 7.13 - a) write verbal expressions as algebraic expressions and sentences as equations and vice versa; b) evaluate algebraic expressions
  3. SOL 8.1 - a) simplify numerical expressions involving positive exponents, using rational numbers, order of operations, properties; b) compare/order fractions/decimals/percents, and scientific notation
  4. SOL 8.4 - evaluate algebraic expressions using order of operations
  5. SOL AII.1 - given rational/radical/poly expressions - a) add/subtract/multiply/divide/simplify rational algebraic expressions; b) add/subtract/multiply/ divide/simplify radical expressions containing rational numbers/variables, and expressions containing rational exponents; c) write radical expressions as expressions containing rational exponents; d) factor polynomials completely
Instructional Materials
  1. VDOE ESS Lesson - Evaluating and Simplifying Expressions - Expressions and Operations (PDF) - Evaluating and simplifying algebraic expressions (Word)
  2. Notes: Combining Like Terms/Simplifying Expressions (flipchart)
    1. Student Notes (doc)
  3. Notes: Evaluating Expressions (doc) | Answer Key (pdf)
  4. ExamView Quiz: Order of Operations
  5. Warm-up: Order of Operations (doc)
  6. Notes: Open Sentences (ppt)
Real World Lessons
  1. VDOE ESS - Simplifying Expressions with Algebra Tiles (pdf)
  2. Worksheet: Simplifying and Evaluations Expressions Practice (doc)
  3. Worksheet: Evaluating Expressions Practice (includes radicals) (doc)
  4. Matching: Combining Like Terms Matching (doc)
  5. Worksheet: Evaluating Expressions CW (doc)
  6. Worksheet: Open Sentences HW (doc)
  7. Worksheet: Open Sentences (doc) | (pdf)
  8. Experiment: Computer Application - Spreadsheets (doc)
  9. Glencoe PWS (pdf)
  10. Glencoe SG (pdf)
  11. ExamView Quiz: Open Sentences
  1. SOL Mini Quiz
  1. JMU Pivotal Question: Evaluating Expressions (doc)
Explore Learning
  1. Using Algebraic Equations - Translate equations into English sentences and translate English sentences into equations. Read the equation or sentence and select word tiles or symbol tiles to form the corresponding sentence or equation.
  2. Using Algebraic Expressions - Translate algebraic expressions into English phrases, and translate English phrases into algebraic expressions. Read the expression or phrase and select word tiles or symbol tiles to form the corresponding phrase or expression.
  1. Interactive Notes: Evaluate Expressions - notes and workout problems at
Old Website Links
  1. Expressions - Lesson 2: Order of Operations
  2. Expressions - Lesson 3: Open Sentences
Common Core Standards