Linear Equations Around You

The academic language we used in our lesson included all of the following EXCEPT:

• Numbers

• Letters

• Inequalities

• Coefficients

The name of the term that is used to represent a value we must solve for is:

You have just received your driver’s license in the mail.

Every year your family drives to San Francisco to visit relatives for Thanksgiving. You will be the driver this year. If you drive 65 miles an hour, create a linear equation to represent the total miles, y, you will drive using the number of hours, x, it will take you to get there if you stop three times for bathroom breaks of 10 minutes each stop.

• y= 65x + 30

• y = 30x - 65

• y= 3x-65

• y= 65x + 0

What are the possible steps you will use to solve for variable ‘y’ in a linear equation?

• Add to both sides of the equation

• Subtract the same number from both sides of the equation

• Divide both sides of the equation by the same number

• All the above are possible steps to solve a linear equation.

What is the name of the mathematical format where variable coefficients represent real numbers when you reach a final solution to a problem?

Solve for y in the following equation:

y= 24x+ 378, when x = 1/4

• y= 391

• y= 384

• y = 372

• y = 402

Create a linear equation AND Solve for y (number of judges). Show all steps:

Carrie wants to bake a peach pie for her hometown fair contest. She uses her grandmother’s recipe. Carrie’s hometown is 50 miles in distance. She needs to bake a pie for each judge at the contest. If each judge represents 10 miles, how many judges, y, will need a pie?

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Pretend you own your own bakery. Your client is a restaurant who wants to buy your banana bread. If it takes 2 bananas one week to get fully ripe/brown, to use for your recipe, how many bananas will you need to buy to make 18 banana bread recipes for your client if you already have 2 recipes made?

Create the linear equation and solve for y (number of bananas).

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