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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 are each trying to solve \(2x+6=3x-8\). Describe the first step they each make to the equation.
Complete the table with values for \(x\) or \(y\) that make this equation true: \(3x+y=15\).
| \(x\) | 2 | 6 | 0 | 3 | |||
|---|---|---|---|---|---|---|---|
| \(y\) | 3 | 0 | 8 |
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 turns the first equation into the second.
\(6x + 9 = 4x -3\)
\(2x + 9 = \text-3\)
\(\text-4(5x-7) = \text-18\)
\(5x-7 = 4.5\)
\(8-10x = 7+5x\)
\(4-10x = 3+ 5x\)
\(\frac {\text{-}5x}{4} = 4\)
\(5x=\text-16\)
\(12x+4 = 20x+24\)
\(3x+1=5x+6\)
Multiply each side by \(\frac {\text{-}1}{4}\)
Multiply each side by \(\text-4\)
Multiply each side by \(\frac14\)
Add \(\text-4x\) to each side
Add \(\text-4\) to each side
Select all the situations for which only zero or positive solutions make sense.
Measuring temperature in degrees Celsius at an Arctic outpost each day in January.
The height of a candle as it burns over an hour.
The elevation above sea level of a hiker descending into a canyon.
The number of students remaining in school after 6:00 p.m.
A bank account balance over a year.
The temperature in degrees Fahrenheit of an oven used on a hot summer day.