## Solve Real-world Mathematical Problems With Expressions

#### Aligned To Common Core Standard:

**Grade 6 Expressions and Equations** - 6.EE.B.7

How Are Expressions Used in The Real World?
A girl wants to read 2 books in her summer vacation, and she doesn't have those books yet. Therefore, she is not sure how many pages will be there in each of those books. She doesn't want to wait until the last sec to read the books, so she planned on reading the same number of pages for the entire summer vacation.
If her summer vacation is 72 days long, how can she write an expression for representing the number of pages she would need to read each day.
Here is how you can learn how the expression is useful in real-life situations.
A variable expression is a mathematical phrase that contains different variables, operations, and numbers.
Here are some of the examples of an expression:

- 3x + y
- 10r − x
- B3 + 2
- Mx – 4.
An expression can be used for defining a real-life situation where there are one or more quantities that are the unknown value or can have a change in value.

### Printable Worksheets And Lessons

- Filling a Shelf Step-by-step
Lesson- We determine the left over book space on a shelf.

- Guided Lesson - Concert tickets, increasing membership rates, and show passes. What other problems really exist in the world?

- Guided Lesson Explanation - I show you how to setup the equations to get these to work for you and not against you.

- Practice Worksheet - A great series of straight to the point questions.

- Matching Worksheet - Match the word problems their solution. I put all the questions in a scenarios I actually saw over the course of a month.

#### Homework Sheets

I assume that students have seen the basic concept of an expression before in these.

- Homework 1 - Paul is about to put books on a shelf. The shelf can hold 100 books. The shelf already has 25 books. How many more books can Paul add to the shelf to fill it?
- Homework 2 - Kara was working on increasing the membership for the new health club. She was able to increase the membership at the rate of 15 females for every male. If she increased the club by a total of 32 members, how many new females will be new to the club?
- Homework 3 - Terry sells expensive horse toys inside the mall. He sells them for $5 more than the place outside the mall. If someone would have saved $15 from buying toys outside the mall, how many horse toys did they buy?

#### Practice Worksheets

I forgot how long it takes to thoroughly explain one of these problems.

- Practice 1 - Romeo has 30 coloring books. He has colored 10 of them. How many books are left for him to color?
- Practice 2 - Wilbur has owned 10 pets. He has 5 cats and the rest of his pets were dogs. How many dogs did Wilbur have?
- Practice 3 - Katy came in third place in a video game competition with 50 points. The first place winner scored 200 points. How many points was Katy off the lead by?

#### Math Skill Quizzes

Each quiz is progressively more challenging on purpose.

- Quiz 1 - There are three boxes of fruits. There are 300 fruits in a box. If the number of mangoes are 50 more than the apples. How many apples are there in the box?
- Quiz 2 - There are 950 students in a school. If the number of girls is 120 less than the number of boys, how many boys are there in the school?
- Quiz 3 - Kelly sold 2 times as many tickets for her show as she did last week. If she sold 46 tickets this week. How many total tickets did she sell between this week and last week?