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IM: 8.4.3: Balanced Moves (Practice)

By Newsela Staff
Last updated 2 months ago
8 Questions
In this hanger, the weight of the triangle is x and the weight of the square is y.
1.

Write an equation using x and y to represent the hanger.

2.

If x is 6, what is y?

Andre and Diego were each trying to solve 2x + 6 = 3x - 8. Describe the first step they each make to the equation.
3.

The result of Andre’s first step was -x + 6 = -8

4.

The result of Diego’s first step was 6 = x - 8

5.

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

6.

For the above problem, create a graph, plot these points, and find the slope of the line that goes through them.​​​​

7.

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

Add -4x to both sides
Multiply both sides by -1/4
Add -4 to both sides
Multiply both sides by -4
Multiply both sides by 1/4
8.

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