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IM 6.6.2 Lesson: Truth and Equations

The equation  could be true or false. If is 3, is 4, and is 5, is the equation true of false?

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Find values of , , and that make the above equation true.

Find values of , , and that make the equation false.

The equation  could be true or false. If is 3, is 4, and is 12, is the equation true of false?

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Find values of , , and that make the above equation true.

Find values of , , and that make the equation false.

Here is a situation and six equations. Which equation best represents the situation? If you get stuck, consider drawing a diagram in the applet below.

After Elena ran 5 miles on Friday, she had run a total of 20 miles for the week. She ran  miles before Friday.

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Here is a situation and six equations. Which equation best represents the situation? If you get stuck, consider drawing a diagram in the applet below.

Andre’s school has 20 clubs, which is five times as many as his cousin’s school. His cousin’s school has  clubs.

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Here is a situation and six equations. Which equation best represents the situation? If you get stuck, consider drawing a diagram in the applet below.

Jada volunteers at the animal shelter. She divided 5 cups of cat food equally to feed 20 cats. Each cat received  cups of food.

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Here are some equations that contain a variable and a list of values. Think about what each equation means and find a solution in the list of values. If you get stuck, consider drawing a diagram in the second applet below..

Explain why your solution is correct.

One solution to the equation  is .  How many different whole-number solutions are there to the equation ? Explain or show your reasoning.