Constant Rate and Linear Equations Worksheets


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Printable “Linear Equations” worksheets:
Linear Equations & Coordinate Plane
Slope of a Line (from 2 points)
Slope of a Line (from equation)
Graph Equation using Intercepts
Find the Equation of a Line from a Graph
Find the Equation of a Line from 2 Points
Constant Rate & Linear Equations

Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 learn that any constant rate problem can be described by a linear equation in two variables where the slope of the graph is the constant rate. When given information about two proportional relationships, their rates of change can be compared by comparing the slopes of the graphs of the two proportional relationships.

Constant Rate and Linear Equations

Constant Rate:
A constant rate means that a quantity changes at a steady pace. This is often represented by a linear relationship.

Linear Equations:
Linear equations are mathematical expressions that represent a straight line when plotted on a graph. They are typically written in the form:
y = mx + b
Where:
m is the slope (rate of change) of the line.
b is the y-intercept (the point where the line crosses the y-axis).

Connection Between Constant Rate and Linear Equations:
When a quantity changes at a constant rate, it can be modeled by a linear equation. The slope of the line represents the constant rate of change, and the y-intercept represents the starting value.

Key Points:
Constant rate problems can be solved using linear equations.
The slope of the linear equation represents the constant rate of change.
The y-intercept represents the starting value.
When given information about two proportional relationships, their rates of change can be compared by comparing the slopes of the graphs of the two proportional relationships.



Have a look at this video if you need to review how to find the equation of a line from two points.

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Constant Rate and Linear Equations Worksheet
 

More Constant Rate and Linear Equations Worksheets

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(Answers on the second page.)
Constant Rate and Linear Equations Worksheet #1
Constant Rate and Linear Equations Worksheet #2
Constant Rate and Linear Equations Worksheet #3
Constant Rate and Linear Equations Worksheet #4
Constant Rate and Linear Equations Worksheet #5
Constant Rate and Linear Equations Worksheet #6
Constant Rate and Linear Equations Worksheet #7

Constant Rate & Linear Equation
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