Additive and Multiplicative Relationships
Explore additive and multiplicative relationships with this Grade 8 math worksheet, featuring exercises on identifying patterns, completing tables, and solving problems.
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Additive and Multiplicative Relationships
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Read each question carefully and follow the instructions. Show your work where applicable.
For each table, determine if the relationship between x and y is additive, multiplicative, or neither. Write the rule if it is additive or multiplicative.
1.
x
y
2
5
4
7
6
9
Relationship:
Rule:
2.
x
y
1
3
2
6
3
9
Relationship:
Rule:
3. The cost of renting a bicycle is $5 plus $2 per hour. Is this an additive or multiplicative relationship? Explain your reasoning and write an equation.
4. Plot the points from the equation y = 2x - 1 on the graph below. Is this an additive or multiplicative relationship?
5. Which equation represents a purely multiplicative relationship?
y = x + 5
y = 3x
y = x - 2
y = x/2 + 1
6. In an additive relationship, the output (y) is found by:
Multiplying the input by a constant
Adding a constant to the input
Dividing the input by a constant
Subtracting the input from a constant
7. The equation y = 4x represents an additive relationship.
True
False
8. If a relationship is additive, the graph will always pass through the origin (0,0).
True
False
9. A chef is preparing a recipe. For every 2 cups of flour, she adds 1 cup of sugar. If she uses 8 cups of flour, how much sugar does she need? What type of relationship is this? Explain.
10. Sarah earns $12 per hour. Write an equation that represents her total earnings (E) based on the number of hours (h) she works. Is this an additive or multiplicative relationship? Justify your answer.