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Printable “Rate & Proportion” worksheets:

Rates & Unit Rates

Proportional Relationships in Tables

Proportional Relationships in Graphs

Proportional Relationships in Equations

Proportional Relationships (Speed)

Rate Word Problems

Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 learn how to solve rate word problem worksheets. Know the definition of constant rate in varied contexts as expressed using two variables where one is t representing a time interval. Graph points on a coordinate plane related to constant rate problems.

Solving constant rate word problems involves understanding the relationship between different quantities like distance, time, and rate. The rate is often the speed at which something happens, such as miles per hour, gallons per minute, or units per day. Here’s a step-by-step guide to solving these types of problems:

- Understand the Relationship

The basic formula for constant rate problems is:

Rate = Quantity/Time or 𝑟 = 𝑞/𝑡

This can be rearranged to find any of the three variables:

q = r×t or t = r×q - Identify What You’re Given

Determine which two of the three variables (rate, quantity, time) are provided in the problem.

Identify what you need to find. - Set Up the Equation

Use the formula r = tq and plug in the known values.

Rearrange the formula as necessary to solve for the unknown variable. - Solve the Equation

Perform the necessary calculations to find the unknown quantity.

Ensure that all units are consistent throughout the calculation. - Check Your Solution

Substitute your solution back into the original problem to ensure it makes sense.

Ensure the answer is reasonable in the context of the problem.

Have a look at this video if you need to review how to solve “Constant rate word problem”.

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Solve constant rate word problem

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