# Making Sense of Algebraic Expressions - PowerPoint PPT Presentation

1 / 7

Making Sense of Algebraic Expressions. Learning Goal 1 (HS.N-RN.B3 and HS.A-SSE.A.1): The student will be able to use properties of rational and irrational numbers to write, simplify, and interpret expressions based on contextual situations. The Candy Shop.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

Making Sense of Algebraic Expressions

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

## Making Sense of Algebraic Expressions

Learning Goal 1 (HS.N-RN.B3 and HS.A-SSE.A.1):

The student will be able to use properties of rational and irrational numbers to write, simplify, and interpret expressions based on contextual situations.

### The Candy Shop

• A candy shop sells a box of chocolates for \$30.

• It has \$29 worth of chocolates plus \$1 for the box.

• The box includes two kinds of candy: caramels and truffles.

• Lisa knows how much the different types of candies cost per pound and how many pounds are in a box.

https://www.illustrativemathematics.org/illustrations/389

### The Candy Shop

• Lisa states:

• “If x is the number of pounds of caramels included in the box and y is the number of pounds of truffles in the box, then I can write the following equations based on what I know about one of these boxes:

• x + y = 3

• 8x + 12y + 1 = 30

• Based off of her equations, how many pounds of candy are in the box?

• 3 (x pounds of caramels and y pounds of truffles)

### x + y = 38x + 12y + 1 = 30

• What is the price per pound of the caramels?

• \$8 (8 is the coefficient of x)

• What does the term 12y in the second equation represent?

• \$12 per pound for truffles

• What does 8x + 12y + 1 in the second equation represent?

• This represents the total value of the box of chocolates: the value of caramels added to the value of the truffles added to the fixed cost of \$1

### Super Sized Sand

• A company uses two different sized trucks to deliver sand.

• The first truck can transport x cubic yards.

• The second truck can transport y cubic yards.

• The first truck makes A trips to a job site.

• The second truck makes B trips to a job site.

### Super Sized Sand

• What do the following expressions represent in practical terms?

• A + B

• The number of trips both trucks make to the job site.

• x + y

• The amount of sand, in cubic yards, both trucks can transport together.

• xA + yB

• xAmeans the amount of sand in the first truck times the number of trips that truck makes.

• yB means the amount of sand in the second truck times the number of trips that truck makes.

• When you put them together, it is the amount of sand both trucks can deliver to the job site.