# Applied Problems of Inequalities Worksheets

How to Solve Real World Problems by Using Inequalities Solving numeric sums and equations is a mainstream thing in math, but it often happens that students question about the real-world implementation of math. The real-world implementation of math can be seen in word problems. Word problems are used to depict how helpful math can be while doing your routine stuff for example when you have to buy lunch collectively as a group during your office hours and want to distribute the total lunch expense, equally among your office colleagues, that is exactly where your word problem-solving ability comes in handy. Learning how to solve inequalities can be very useful in solving real-world problems, especially when you are purchasing something, and you need to compare its price and value with other products of the same category, you need to analyze their price and value proposition. While doing that, you need to know whose value is greater, and the price is lower, and then you need to pick the product that is suitable in both perspectives carefully. To do all that, you need to have an appropriate idea about inequalities.

• ### Basic Lesson

Demonstrates how to visually apply inequalities. Provides the step by step process. What inequality is depicted by this see saw? The see-saw depicts x + 4 > 6.

• ### Intermediate Lesson

Explores how to solve inequalities within word problems. Example: Jack decides to take up golf. His golf club membership will cost \$500 for the season and he will be charged \$30 for each round of golf that he plays. Jack has decided not to spend more than \$1200 on golf for the season. Write an inequality that describes the relationship between the maximum amount Jack wants to spend and the total golf costs for the season.

• ### Independent Practice 1

Determine the weight of each person. The answers can be found below.

• ### Independent Practice 2

Work off of this scenario: The graph below can be used to locate safe and unsafe speed zones. The lower shaded region is a safe zone where d < 50t and the upper region is an unsafe-speed zone where d > 50t.

• ### Homework Worksheet

Applied Problems of Inequalities problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

10 Applied Problems of Inequalities problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### That's a Long Number!

Atomic Wow power of prime numbers! The largest prime number is 13,395 digits long; more than the number of atoms in the universe.