Students identify variables, constants, coefficients, and terms; translate between words and algebraic expressions; evaluate expressions with whole numbers, integers, fractions, and finite decimals using grouping symbols, whole-number exponents, and order of operations; and generate equivalent forms by combining like terms, applying properties, expanding, and factoring simple expressions. Students represent equations with balance models, tape diagrams, and one-step or simple multi-step contexts; write and solve addition, subtraction, multiplication, division, and fractional-coefficient equations; and check solutions by substitution while preserving equality. Students interpret, write, solve, and graph simple one-variable inequalities with whole numbers and familiar rational values, and use input-output tables, rules, ordered pairs, and coordinate graphs to describe dependent and independent variables and distinguish proportional from non-proportional patterns.
On this page:
- Master skills like “Identify constants”, “Identify variables”, and “Identify coefficients” with unlimited, free practice problems
- Download (or modify) free worksheets on Algebraic Expressions and Equations you can use at home or in class with practice problems across all skills in this group including “Use input-output tables”, “Solve addition equations”, “Solve division equations”.
- Start working on adaptive units like “Algebra Basic Concepts - Practice” or “Algebra Basic Concepts - Advanced” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Algebraic Expressions and Equations: Individual Skills
Master 37 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
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- Apply the distributive property to expressions
- Check solutions by substitution
- Combine like terms informally
- Evaluate expressions by substitution
- Evaluate expressions with fractions
- Evaluate expressions with whole numbers
- Expand expressions using distribution
- Factor expressions using a common factor
- Generate ordered pairs from a rule
- Generate values that satisfy an inequality
- Graph inequalities on a number line
- Graph relationships from tables
- Identify coefficients
- Identify constants
- Identify dependent and independent variables
- Identify equivalent expressions
- Identify terms in an expression
- Identify variables
- Interpret inequality symbols in context
- Recognize proportional and non-proportional patterns informally
- Represent equations with balance models
- Represent equations with tape diagrams
- Solve addition equations
- Solve division equations
- Solve equations with fractional coefficients informally
- Solve multi-step algebraic word problems
- Solve multiplication equations
- Solve subtraction equations
- Translate algebraic expressions into words
- Translate words into algebraic expressions
- Use input-output tables
- Use order of operations in algebraic expressions
- Use properties to generate equivalent expressions
- Write a rule from a table
- Write and solve simple inequalities
- Write expressions for repeated operations
- Write one-step equations from word problems
Practice 'Apply the distributive property to expressions'
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Download/Modify Free Grade 6 'Algebraic Expressions and Equations' Worksheet
Print this free 'Algebraic Expressions and Equations' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Apply the distributive property to expressions
- Check solutions by substitution
- Combine like terms informally
- Evaluate expressions by substitution
- Evaluate expressions with fractions
- Evaluate expressions with whole numbers
- Expand expressions using distribution
- Factor expressions using a common factor
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Algebraic Expressions and Equations) through scaffolded problems that grow in difficulty as concepts are understood.