| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
What is the circumference of a circle with a diameter of 11?
| 11π | |
| 16π | |
| 36π | |
| 1π |
The formula for circumference is circle diameter x π:
c = πd
c = 11π
The dimensions of this cube are height (h) = 3, length (l) = 2, and width (w) = 8. What is the volume?
| 45 | |
| 28 | |
| 64 | |
| 48 |
The volume of a cube is height x length x width:
v = h x l x w
v = 3 x 2 x 8
v = 48
If side a = 8, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{10} \) | |
| \( \sqrt{74} \) | |
| \( \sqrt{65} \) | |
| \( \sqrt{89} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 82 + 52
c2 = 64 + 25
c2 = 89
c = \( \sqrt{89} \)
Simplify (8a)(2ab) - (9a2)(8b).
| 88ab2 | |
| -56a2b | |
| 88a2b | |
| 170ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(8a)(2ab) - (9a2)(8b)
(8 x 2)(a x a x b) - (9 x 8)(a2 x b)
(16)(a1+1 x b) - (72)(a2b)
16a2b - 72a2b
-56a2b
The endpoints of this line segment are at (-2, -1) and (2, 1). What is the slope of this line?
| 2 | |
| \(\frac{1}{2}\) | |
| -3 | |
| 1\(\frac{1}{2}\) |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -1) and (2, 1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)