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 
  • Translate verbal quantitative situations into algebraic expressions and vice versa.
  • Model real-world situations with algebraic expressions in a variety of representations (concrete, pictorial, symbolic, verbal).
Essential Understandings
  • Algebra is a tool for reasoning about quantitative situations so that relationships become apparent.
  • Algebra is a tool for describing and representing patterns and relationships.
  • Mathematical modeling involves creating algebraic representations of quantitative real-world situations.
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: Translate and Evaluate - Expressions and Operations (PDF) - Representing quantitative situations algebraically and evaluating and simplifying algebraic expressions (Word)
  2. Notes: Translating Expressions (ppt)
Real World Lessons
  1. VDOE ESS - Evaluating Expressions with Candy (pdf)
  2. VDOE ESS - Mathematical Translations Matching (pdf)
  3. Worksheet: Tricky Translations - Algebraic Writing Prompt (doc)
  4. Worksheet: Algebraic Expressions CW (doc)
  5. Worksheet: Algebraic Expressions HW (doc)
  6. Quiz: Algebraic Expressions (doc)
  1. SOL Mini Quiz
  1. JMU Pivotal Question: Area Dispute (doc)
  2. JMU Pivotal Question: Guessing Game (doc)
  1. PH Writing algebraic expressions from word phrases
  2. PH Writing algebraic expressions from word problems
  3. PH Writing Algebraic Expressions from Words
  4. PH Writing an Equation
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: Algebraic Representations - lessons and practice problems at
  2. Interactive Notes: Writing Equations - notes and workout problems at
  3. Interactive Notes: Writing Inequalities - notes and workout problems at
Old Website Links
  1. Expressions - Lesson 1: Variables and Expressions
Common Core Standards