Find a solution to each equation without writing anything down.

x = _____

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x = _____

x = _____

x = _____

Draw a tape diagram to represent each situation. For some of the situations, you need to decide what to represent with a variable.

Diego has 7 packs of markers. Each pack has *x* markers in it. After Lin gives him 9 more markers, he has a total of 30 markers.

Draw your diagram on a piece of paper, take a picture of the diagram, and upload it using the image upload button . Alternatively, you can make a tape diagram using the table button .

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Elena is cutting a 30-foot piece of ribbon for a craft project. She cuts off 7 feet, and then cuts the remaining piece into 9 equal lengths of *x* feet each.

Draw your diagram on a piece of paper, take a picture of the diagram, and upload it using the image upload button . Alternatively, you can make a tape diagram using the table button .

A construction manager weighs a bundle of 9 identical bricks and a 7-pound concrete block. The bundle weighs 30 pounds.

Draw your diagram on a piece of paper, take a picture of the diagram, and upload it using the image upload button . Alternatively, you can make a tape diagram using the table button .

A skating rink charges a group rate of $9 plus a fee to rent each pair of skates. A family rents 7 pairs of skates and pays a total of $30.

Andre bakes 9 pans of brownies. He donates 7 pans to the school bake sale and keeps the rest to divide equally among his class of 30 students.

Each situation in the previous activity is represented by one of these equations:

Match each situation to an equation.

Find the solution to each equation. Use your diagrams to help you reason.

7x + 9 = 30

x = _____

x = _____

Round your answer to the nearest tenth.

x = _____

What does each solution tell you about its situation?

*Are you ready for more?*

While in New York City, is it a better deal for a group of friends to take a taxi or the subway to get from the Empire State Building to the Metropolitan Museum of Art? Explain your reasoning.