Students extend numerical patterns involving addition, subtraction, multiplication, division, integers, fractions, and decimals, represent them in tables and simple one-variable algebraic expressions, and describe their rules precisely in words using whole-number term positions. Students identify variables, coefficients, constants, terms, and like terms; translate between verbal phrases and algebraic expressions while preserving operation order, grouping, and meaning. Students combine like terms using whole-number coefficients and evaluate expressions by substituting integers, fractions, or decimals, applying parentheses, operations, and simple whole-number exponents in the correct order.
On this page:
- Master skills like “Identify like terms”, “Extend numerical patterns”, and “Represent patterns using tables” with unlimited, free practice problems
- Download (or modify) free worksheets on Patterns and Algebraic Expressions you can use at home or in class with practice problems across all skills in this group including “Describe pattern rules using words”, “Translate algebraic expressions into words”, “Evaluate algebraic expressions by substitution”.
- Start working on adaptive units like “Algebra - Identify and Combine Like Terms” or “Patterning - Number Patterns Intro” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Patterns and Algebraic Expressions: Individual Skills
Master 10 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
Your results
- Combine like terms with whole-number coefficients
- Describe pattern rules using words
- Evaluate algebraic expressions by substitution
- Extend numerical patterns
- Identify like terms
- Identify variables, coefficients, constants, and terms
- Represent pattern rules using algebraic expressions
- Represent patterns using tables
- Translate algebraic expressions into words
- Translate verbal phrases into algebraic expressions
Practice 'Combine like terms with whole-number coefficients'
Select any skill in this group by hovering over the list above. Unlimited free practice problems, automatically graded.
Hover a skill above to start practicing.
Download/Modify Free Grade 7 'Patterns and Algebraic Expressions' Worksheet
Print this free 'Patterns and Algebraic Expressions' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Combine like terms with whole-number coefficients
- Describe pattern rules using words
- Evaluate algebraic expressions by substitution
- Extend numerical patterns
- Identify like terms
- Identify variables, coefficients, constants, and terms
- Represent pattern rules using algebraic expressions
- Represent patterns using tables
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Patterns and Algebraic Expressions) through scaffolded problems that grow in difficulty as concepts are understood.
Explore More Grade 7 Math
- Data Analysis
- Equations and Inequalities
- Fractions, Decimals, and Percents
- Geometry and Angle Relationships
- Integers and Rational Numbers
- Linear Relationships
- Measurement
- Powers and Number Properties
- Probability and Financial Literacy
- Ratios, Rates, and Proportional Reasoning
- Transformations and Coordinate Geometry