| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.95 |
| Score | 0% | 59% |
Simplify (y + 3)(y + 8)
| y2 + 11y + 24 | |
| y2 + 5y - 24 | |
| y2 - 11y + 24 | |
| y2 - 5y - 24 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 3)(y + 8)
(y x y) + (y x 8) + (3 x y) + (3 x 8)
y2 + 8y + 3y + 24
y2 + 11y + 24
The dimensions of this cylinder are height (h) = 2 and radius (r) = 1. What is the volume?
| 80π | |
| 24π | |
| 100π | |
| 2π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(12 x 2)
v = 2π
Solve -5a + 2a = 8a + 4x - 3 for a in terms of x.
| -6x - 4\(\frac{1}{2}\) | |
| \(\frac{8}{15}\)x - \(\frac{4}{15}\) | |
| \(\frac{7}{12}\)x + \(\frac{3}{4}\) | |
| -\(\frac{2}{13}\)x + \(\frac{3}{13}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
-5a + 2x = 8a + 4x - 3
-5a = 8a + 4x - 3 - 2x
-5a - 8a = 4x - 3 - 2x
-13a = 2x - 3
a = \( \frac{2x - 3}{-13} \)
a = \( \frac{2x}{-13} \) + \( \frac{-3}{-13} \)
a = -\(\frac{2}{13}\)x + \(\frac{3}{13}\)
On this circle, a line segment connecting point A to point D is called:
circumference |
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chord |
|
diameter |
|
radius |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
A coordinate grid is composed of which of the following?
all of these |
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x-axis |
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origin |
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y-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.