6.4a Multiplicative V. Additive
Flashcard
•
Mathematics
•
5th - 6th Grade
•
Practice Problem
•
Hard
+6
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is an additive relationship?
Back
An additive relationship is when a quantity increases or decreases by a constant amount. For example, in the equation y = x + 3, the value of y increases by 3 for every increase of 1 in x.
Tags
CCSS.HSF-LE.A.1B
2.
FLASHCARD QUESTION
Front
What is a multiplicative relationship?
Back
A multiplicative relationship is when a quantity increases or decreases by a constant factor. For example, in the equation y = 2x, the value of y doubles for every increase of 1 in x.
Tags
CCSS.5.OA.B.3
3.
FLASHCARD QUESTION
Front
How can you identify an additive graph?
Back
An additive graph typically shows a straight line with a constant slope, indicating a consistent increase or decrease. The equation will be in the form y = mx + b.
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
How can you identify a multiplicative graph?
Back
A multiplicative graph usually curves upwards or downwards, indicating exponential growth or decay. The equation will often be in the form y = kx, where k is a constant.
Tags
CCSS.HSF-IF.C.7E
5.
FLASHCARD QUESTION
Front
What does the slope represent in an additive relationship?
Back
In an additive relationship, the slope represents the constant amount added to y for each unit increase in x.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
What does the slope represent in a multiplicative relationship?
Back
In a multiplicative relationship, the slope is not constant; instead, it represents the factor by which y changes for each unit increase in x.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
Give an example of an additive equation.
Back
An example of an additive equation is y = x + 4.
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