# Real World Math Word Problems Worksheets

The entire purpose to attending school and learn is to better handle and manage ourselves in the real world. There is no better use of our time in math than applying the skills that we have learned to common situations that we may find ourselves in, at some point. There are very few subjects that compare to the consistent use and importance of getting it right than math. Maybe a class in a foreign language, if you were in a country that primarily communicated in that specific language. You should take the time to fully develop your skills to level that makes you a responsible consumer. You are only hurting yourself and possibly being taken advantage of by others with the math skills. These worksheets put students through series of situation that they are tasked to solve and determine the best solution.

### Aligned Standard: Grade 7 Number Systems - 7.NS.A.3

- PEMDAS Step-by-step Lesson- Order of Operations to the extreme on this one. See if you can figure out where it starts and ends.
- Guided Lesson - Home loans, basketball hoops, and an awkward calculation. What could be more everyday? (at least for a math teacher.)
- Guided Lesson Explanation - I spaced out the steps for these very well.
- Practice Worksheet - Let's review these skills with a wild bunch of questions.
- Matching Worksheet - This one can get a bit confusing, if you don't pay attention to the details.

- Answer Keys - These are for all the unlocked materials above.

### Homework Sheets

Operations based problems followed by word problems and unit rates.

- Homework 1 - We do basic operations with the acronym PEMDAS. The first letter (left to right) indicates the first operation and We proceed from there.
- Homework 2 - Mason decides to save $35 a week for the entire year. How much will he have saved?
- Homework 3 - Jessica bounces a ball 30 times in 15 seconds. How many times will she bounce a ball in one second?

### Practice Worksheets

Make sure that students understand the difference between brackets and parenthesis in relation to operations.

- Practice 1 - Find the final value of each set of operations.
- Practice 2 - William has to travel for his company. The company pays $45 per month for his gas. How much money does the company pay for gas in a year?
- Practice 3 - Matthew hit a ball 30 times in 15 minutes. How many times can he hit a ball in one minute?

### Math Skill Quizzes

The quizzes mimic what you saw in the other sheets.

- Quiz 1 - Sophie made 14 glasses of juice in 7 minutes. How many glasses of juice can she make in one minute?
- Quiz 2 - Calculate: [9(0.16)] – [(-12) x 0.25]
- Quiz 3 - Annabel has a savings account. She earns $40 every month from the account. How much money will she earn in a year?

### An Example of a Real World Math Word Problem Solved

**Problem:** Jamie buys a home by getting a home loan from Taylor Bank. The bank will deduct $850 each month from Jaime’s bank account to repay the loan over 30 years. How much will Jaime pay the bank in 1 year.

**Solution:** Start with what we know. Jaime is paying $850 to the bank every month. Many of these word problems will require you to have some prior knowledge about some of the units. In this case, we need to know that there are 12 months in 1 year. This means that if multiply 12 months by the cost $850, we will solve the problem: $850 x 12 = $10,200.

## Reminder: What Are the Four Math Operations with Rational Numbers?

As you already know what rational numbers are, it is time to understand how you apply the basic mathematical operations on rational numbers. Some operations can be carried out easily with the rational numbers. We will be looking at the four basic operations for rational numbers, which are: multiplication, division, addition, and subtraction. Here are some of the examples:

A rational number is usually in the form of: **P/Q**- P is a numerator, and Q is the denominator where Q can never be equal to 0.

**Addition:** In order to add rational numbers, you need to make sure that the denominator is always the same. Otherwise, the addition of the numerator will not be possible. If the two denominators are not the same you need to take out the LCM of all the denominators.

**Subtraction:** To carry out the subtraction, you need to carry out the same steps as the addition. You need to make sure that the denominator is always the same. Otherwise, the subtraction of the numerator will not be possible. If the two denominators are not the same, you need to take out the LCM of all the denominators.

**Multiplication:** Multiplication with rational numbers is very easy. The numerators get multiplied with the numerators and the same is the case with the denominators. The simplification goes on until it is no further possible.

**Division:** In the case of division between two rational numbers, the second rational number is turned into the reciprocal, and then it is used in the same way as the multiplication is carried out.