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Ch 36: Mathematical Reasoning for Solving Word Problems

About This Chapter

Sometimes math looks more like a story than a math problem. In this chapter, you'll learn the logic necessary to evaluate and solve a variety of math word problems.

Mathematical Reasoning for Solving Word Problems - Chapter Summary

What happens when math goes from being numbers to looking like a paragraph from your English book? The lessons in this chapter will help you navigate word problems. Learn the reasoning skills necessary to translate words into math formulas and complete multi-step word problems. In each lesson, you'll find plenty of examples so you can work along with our instructors. When you are through with this chapter, you should be able to:

  • Explain probability and calculate combinations
  • Understand the steps for solving word problems
  • Solve multi-step word problems
  • Translate words into math operations
  • Solve time and money problems

Short, engaging video lessons taught by our experienced instructors make learning and review easy. Each lesson includes plenty of examples to help you master the math principles. If you want to review select topics, video tags in the Timeline let you quickly access individual segments of the video. And, when you have completed a lesson, take the self-assessment quiz to confirm you understand the new concepts. To track your progress, go to Dashboard to see what you completed.

7 Lessons in Chapter 36: Mathematical Reasoning for Solving Word Problems
Test your knowledge with a 30-question chapter practice test
What is Probability in Math? - Definition & Overview

1. What is Probability in Math? - Definition & Overview

The formula of probability is possible choices over the total number of options. Discover the definition of probability and get an overview of its calculation and application in math.

How to Calculate the Probability of Combinations

2. How to Calculate the Probability of Combinations

The probability of combinations may be calculated when the order of the outcomes does not matter, using the number of favorable outcomes divided by total outcomes. Learn how to calculate the probability of combinations by working through helpful example problems.

Solving Word Problems: Steps & Examples

3. Solving Word Problems: Steps & Examples

Solving word problems in math may require following a process that makes it easier to solve. Learn the steps used in solving word problems which include visualizing the problem, writing the equation, and solving the equation with examples of how it's done.

Solving Word Problems with Multiple Steps

4. Solving Word Problems with Multiple Steps

To solve word problems, even the more complicated ones, follow these three steps: visualize the problem, write the equations, and solve the equations. Learn how to solve multi-step word problems by applying the three-step process, and understand the example.

How to Solve Problems with Time

5. How to Solve Problems with Time

Teamwork can help save time on complex tasks. Explore the work-rate formula, and learn how to solve for the time it takes for one individual and multiple individuals to complete a task, in order to compare the results.

How to Solve Problems with Money

6. How to Solve Problems with Money

Some mathematical word problems focus on money, using real-world situations to calculate how much money is on hand and how much is needed to make purchases. Learn how to solve problems with money, and see several sample problems.

Translating Words Into Math Symbols

7. Translating Words Into Math Symbols

Different math symbols ('+', '-', '/', and '*') can each be expressed through a variety of words in text math problems. Learn how to translate word problems into math equations based on the individual words for specific math symbols.

Chapter Practice Exam
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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