Solving Multi Step Equations Word Problems Worksheet Pdf

Mathematics is an essential subject in life, and it’s used daily in various situations. Solving equations involves a series of steps, and it's not always straightforward. However, these equations can be made clearer by turning them into word problems that we can quickly understand. Word problems allow us to visualize the problem and grasp the information better. In this article, we are going to explore how to solve multi-step equation word problems and provide you with a worksheet in pdf format.

What are Multi-Step Equation Word Problems?

Multi-step equations require more than one step to solve. They include equations that involve addition, subtraction, multiplication, and division. In word problems, we use these operations to solve for the unknown number. Multi-step equations can be complex, and it's essential to follow a systematic approach to solve them.

For example, consider the following equation:

2x + 7 = 15

To solve this equation, we have to isolate the variable (x) on one side of the equation. So, we subtract 7 from both sides of the equation:

2x + 7 - 7 = 15 - 7

2x = 8

Then, we divide both sides by 2:

2x/2 = 8/2

x = 4

So, the solution to this equation is x = 4.

Steps to Solve Multi-Step Equations Word Problems

Multi-step equations can be challenging, but we can solve them by breaking them down into smaller, more manageable parts. Here are the steps to solve multi-step equation word problems:

Read the problem carefully and identify the unknown quantity.
Translate the words into an equation.
Simplify both sides of the equation by combining like terms.
Isolate the variable (x) on one side of the equation.
Check the solution by plugging it back into the original equation.
Write the final answer in a complete sentence that makes sense.

Example Word Problem:

Now, let's look at an example of a multi-step equation word problem:

"Sara is planning a trip to the beach, and she wants to rent a beach house for a week. The rental fee is $800 plus $100 per day. If Sara's total cost for the trip was $1,500, how many days did she rent the beach house for?"

First, we need to identify the unknown quantity, which is the number of days (d) Sara rented the beach house for.

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Then, we need to translate the words into an equation:

800 + 100d = 1500

Next, we need to simplify both sides of the equation by combining like terms:

100d = 700

Then, we need to isolate the variable (d) on one side of the equation:

d = 7

Finally, we need to check the solution by plugging it back into the original equation:

800 + 100(7) = 1500

1500 = 1500

Since the equation is true, our solution is correct. Sara rented the beach house for seven days.

Worksheet on Solving Multi-Step Equations Word Problems

If you want to practice solving multi-step equation word problems, here is a worksheet in pdf format that you can download and print:

Worksheet on Solving Multi-Step Equations Word Problems

Conclusion

Solving multi-step equation word problems can be challenging, but with practice, it becomes more manageable. The key is to follow a systematic approach and break down the problem into smaller steps. Remember to always check your solutions by plugging them back into the original equation. We hope that this article has helped you understand how to solve multi-step equation word problems and provided you with a useful worksheet to practice.