| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
Solve for b:
-4b - 3 > -5 + 6b
| b > -\(\frac{7}{9}\) | |
| b > \(\frac{1}{5}\) | |
| b > -1 | |
| b > \(\frac{3}{5}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
-4b - 3 > -5 + 6b
-4b > -5 + 6b + 3
-4b - 6b > -5 + 3
-10b > -2
b > \( \frac{-2}{-10} \)
b > \(\frac{1}{5}\)
The dimensions of this cube are height (h) = 5, length (l) = 4, and width (w) = 2. What is the volume?
| 96 | |
| 14 | |
| 30 | |
| 40 |
The volume of a cube is height x length x width:
v = h x l x w
v = 5 x 4 x 2
v = 40
What is the area of a circle with a diameter of 10?
| 5π | |
| 25π | |
| 3π | |
| 16π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π
The endpoints of this line segment are at (-2, -3) and (2, 3). What is the slope-intercept equation for this line?
| y = 2x + 4 | |
| y = x + 2 | |
| y = -1\(\frac{1}{2}\)x + 0 | |
| y = 1\(\frac{1}{2}\)x + 0 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 0. 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, -3) and (2, 3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)Plugging these values into the slope-intercept equation:
y = 1\(\frac{1}{2}\)x + 0
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
|
lw x wh + lh |
|
h x l x w |
|
2lw x 2wh + 2lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.