IM 8.4.3 Practice: Balanced Moves

In this hanger, the weight of the triangle is and the weight of the square is . Write an equation using  and  to represent the hanger.

If  is 6, what is ?

Andre and Diego were each trying to solve . Describe the first step they each make to the equation. The result of Andre’s first step was

The result of Diego’s first step was .

Fill in the table with values for x or y that make this equation true: 3x + y = 15.

Create a graph, plot these points, and draw a line that goes through them.​​​​

What is the slope of the line that goes through these points?

Match each set of equations with the move that turned the first equation into the second.

A:

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B:

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C:

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D:

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E:

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Select all the situations for which only zero or positive solutions make sense.

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  • F
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