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Additive and Multiplicative Relationships

Additive relationships mean you add the SAME number to any x-value to get the corresponding y-value. If it's not the same number every time, it is NOT an additive relationship. Subtraction can be an additive relationship because subtracting a number is the same as adding a negative number (example: 5 - 2 = 5 + (-2)).

Multiplicative relationships mean you multiply any  x-value times the SAME number to get the corresponding y-value. If it's not the same number every time, it is NOT multiplicative. Division can be a multiplicative relationship because dividing by a number is the same as multiplying by its reciprocal (flip the number). Example: 12 ÷ 4 = 12(1/4).


The videos below will explain more!

Additive Relationships
y = x + a

Multiplicative Relationships
y = ax

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  • Home
  • Math Class Happenings
  • Math Resources
  • School and District Sites
  • 6th Grade
    • Directory: Where do I find...?
    • Basic Math Tutorials >
      • Multiplication Practice
      • Long Division
    • Expressions, Order of Operations, Properties >
      • Prime Factorization
      • Order of Operations & Substitution in Algebraic Expressions
      • Properties
      • Simplifying Expressions
      • Writing Algebraic Expressions
    • Multiplying and Dividing Rational Numbers >
      • Multiplying and Dividing Decimals
      • Meaning of Division
      • Reciprocals
      • Multiplying and Dividing with Fractions
    • Equivalent Fractions, Decimals, and Percents
    • Ratios, Rates, and Proportions >
      • Ratios, Rates, and Proportions
      • Measurement Conversions
    • Proportions and Percentages
    • Operations with Integers >
      • Modeling Integer Operations
      • Combining Integers (adding and subtracting)
      • Multiplying and Dividing Integers
    • Rational Numbers >
      • Classifying Numbers
      • Absolute Value
      • Compare and Order Rational Numbers
    • Multiple Representations >
      • Additive and Multiplicative Relationships
      • Independent and Dependent Quantities
    • Equations and Inequalities >
      • Modeling and Solving Equations
      • Equations and Number Lines
      • Inequalities and Number Lines
      • The Coordinate Plane
    • Geometry-Triangle Relationships and Area of Polygons >
      • All About Triangle Relationships
      • Area of Rectangles and Triangles
      • Area of Parallelograms
      • Area of Trapezoids
    • Statistical Measures and Displays >
      • Mean, Median, Range
      • Data Displays (Graphs)
      • Box Plots
    • Volume
  • 7th Grade
    • Directory-7th Grade
    • Proportional Relationships >
      • Proportional Relationships & Strategies
      • Constant of Proportionality and Constant Rate of Change
      • Proportions in Tables, Graphs and Equations