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Algebraic Representations of Two-Variable Relationships
Presentation
•
Mathematics
•
6th Grade
•
Medium
+5
Standards-aligned
Char Hight
Used 161+ times
FREE Resource
6 Slides • 9 Questions
1
Algebraic Representations of Two-Variable Relationships

2
Independent Variable
a variable whose value determines the value of the dependent variable
x value in an equation, table, and graph
time (minutes, hours, days, weeks)
3
Dependent Variable
a variable whose value depends on the value of the independent variable
y value in an equation, table, or graph
this value changes
4
Multiplicative Relationship y = ax
The independent and dependent variable are said to have a multiplicative relationship when you multiply any x-value times the SAME number to get the y value
If it is not the same number every time, it is NOT a multiplicative relationship
5
Additive Relationship y = x + a
The independent and dependent variable are said to have an additive relationship when you add the SAME number to any x-value to get the y value
If it is not the same number every time, it is NOT an additive relationship
6
Coordinate Plane
Origin (0,0)
A point is located on the x axis when the y value in the ordered pair is 0
A point is located on the y axis when the x value is the ordered pair is 0
7
Multiple Choice
On a graph, which axis shows the dependent variable?
x-axis
y-axis
neither
it changes
8
Multiple Choice
Eduardo had eight dollars, then he started to save a dollar a week. Which equation can be used to find how much money Eduardo will have at the end of the month?
y = 1 + 8
y = 8x
y = x + 8
y = 8/x
9
Multiple Choice
10
Multiple Choice
11
Multiple Choice
12
Multiple Choice
13
Multiple Choice
14
Multiple Choice
Each day, Kellan swam a different number of laps and then his time was recorded. The amount of time it takes Kellan to swim his required number of laps varies, as shown in the table.
What is the independent quantity in this situation?
The time it takes to swim one lap
The distance of one lap in the swimming pool
The number of minutes
The number of laps
15
Multiple Choice
Each day, Kellan swam a different number of laps and then his time was recorded. The amount of time it takes Kellan to swim his required number of laps varies, as shown in the table.
What is the independent quantity in this situation?
The time it takes to swim one lap
The distance of one lap in the swimming pool
The number of minutes
The number of laps
Algebraic Representations of Two-Variable Relationships

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