My Homework Lesson 4 Problem Solving

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How to Solve Mass Problems Using Algebra

In this article, you will learn how to solve mass problems using algebra. Mass problems are problems that involve finding the mass of an object or a group of objects. Mass is the amount of matter in an object, and it is measured in units such as grams or kilograms.

To solve mass problems using algebra, you need to write an equation with a letter for the unknown. Then you need to use the given information and the properties of operations to solve for the unknown. Here are some steps to follow:

Read the problem carefully and identify what you are given and what you need to find.

Choose a letter to represent the unknown mass and write an equation that relates it to the given information.

Simplify the equation by combining like terms or using the inverse operations.

Solve for the unknown by isolating it on one side of the equation.

Check your answer by plugging it back into the equation and making sure it makes sense in the context of the problem.

Let's look at some examples of how to apply these steps to solve mass problems using algebra.

Example 1

Three small packets of peanuts have a total mass of 30 grams. Each packet has the same mass. What is the mass of 1 packet of peanuts

Solution:

We are given that there are 3 packets of peanuts with a total mass of 30 grams, and we need to find the mass of 1 packet.

We can choose m to represent the unknown mass of 1 packet and write an equation that relates it to the given information: 3m = 30

We can simplify the equation by dividing both sides by 3: m = 10

We can solve for m by reading the value on one side of the equation: m = 10 grams

We can check our answer by plugging it back into the equation and making sure it makes sense: 3(10) = 30. This is true, so our answer is correct.

Example 2

A full bag of oatmeal has a mass of 560 grams. Cooper uses 80 grams of oatmeal to make breakfast for his family. What is the mass of the remaining oatmeal

Solution:

We are given that a full bag of oatmeal has a mass of 560 grams, and Cooper uses 80 grams of oatmeal, and we need to find the mass of the remaining oatmeal.

We can choose r to represent the unknown mass of the remaining oatmeal and write an equation that relates it to the given information: r + 80 = 560

We can simplify the equation by subtracting 80 from both sides: r = 480

We can solve for r by reading the value on one side of the equation: r = 480 grams

We can check our answer by plugging it back into the equation and making sure it makes sense: 480 + 80 = 560. This is true, so our answer is correct.

I hope this article helps you understand how to solve mass problems using algebra. You can practice more problems like these by visiting [^1^] or [^2^]. Happy learning! aa16f39245