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IM: 8.4.3: Balanced Moves (Practice)

By Formative Staff
Last updated 24 days ago
8 Questions
In this hanger, the weight of the triangle is x and the weight of the square is y.

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

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.

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

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

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

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

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

8 - 10x = 7 + 5x to 4 - 10x = 3 + 5x
Add -4x to both sides
-5x/4 = 4 to 5x = -16
Multiply both sides by -1/4
12x + 4 = 20x + 24 to 3x + 1 = 5x + 6
Add -4 to both sides
6x + 9 = 4x -3 to 2x+9 = -3
Multiply both sides by -4
-4(5x - 7) = -18 to 5x - 7 = 4.5
Multiply both sides by 1/4

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