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Which equation is equivalent to the equation \(6x + 9 = 12\)?
\(x + 9 = 6\)
\(2x + 3 = 4\)
\(3x + 9 = 6\)
\(6x + 12 = 9\)
Select all the equations that have the same solution as the equation \(3x-12=24\).
\(15x-60=120\)
\(3x=12\)
\(3x=36\)
\(x-4=8\)
\(12x-12=24\)
Jada has a coin jar containing \(n\) nickels and \(d\) dimes worth a total of \$3.65. The equation \(0.05n + 0.1d = 3.65\) is one way to represent this situation.
Which equation is equivalent to the equation \(0.05n + 0.1d = 3.65\)?
\(5n + d = 365\)
\(0.5n + d = 365\)
\(5n + 10d = 365\)
\(0.05d + 0.1n = 365\)
Select all the equations that have the same solution as \(2x - 5 = 15\).
\(2x = 10\)
\(2x = 20\)
\(2(x - 5)= 15\)
\(2x - 20 = 0\)
\(4x - 10 = 30\)
\(15 = 5 - 2x\)
The number of hours spent in an airplane on a single flight is recorded on a dot plot. The mean is 5 hours and the standard deviation is approximately 5.82 hours. The median is 4 hours and the IQR is 3 hours. The value 26 hours is an outlier that should not have been included in the data.
When the outlier is removed from the data set:
A basketball coach purchases bananas for the players on his team. The table shows total price in dollars, \(P\) , of \(n\) bananas.
Which equation could represent the total price in dollars for bananas?
| number of bananas | total price in dollars |
|---|---|
| 7 | 4.13 |
| 8 | 4.72 |
| 9 | 5.31 |
| 10 | 5.90 |
\(P = 0.59n\)
\(P = 5.90 - 0.59n\)
\(P = \frac{5.90}{n}\)
\(P = n + 0.59\)
Kiran is collecting dimes and quarters in a jar. He has collected \$10.00 so far and has \(d\) dimes and \(q\) quarters. The relationship between the numbers of dimes and quarters, and the amount of money in dollars is represented by the equation \(0.1d + 0.25q = 10\).
Select all the values \((d, q)\) that could be solutions to the equation.
\((100, 0)\)
\((20, 50)\)
\((50, 20)\)
\((0, 100)\)
\((10, 36)\)
Here is a graph of the equation \(3x-2y=12\).
Select all coordinate pairs that represent a solution to the equation.
\((2,\text-3)\)
\((4,0)\)
\((5,\text-1)\)
\((0,\text-6)\)
\((2,3)\)
Jada bought some sugar and strawberries to make strawberry jam. Sugar costs \$1.80 per pound, and strawberries cost \$2.50 per pound. Jada spent a total of \$19.40.
Which point on the coordinate plane could represent the pounds of sugar and strawberries that Jada used to make jam?
Point A
Point B
Point C
Point D