| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.93 |
| Score | 0% | 59% |
The dimensions of this cube are height (h) = 3, length (l) = 3, and width (w) = 7. What is the volume?
| 5 | |
| 216 | |
| 63 | |
| 90 |
The volume of a cube is height x length x width:
v = h x l x w
v = 3 x 3 x 7
v = 63
Solve for z:
9z - 1 = \( \frac{z}{7} \)
| -1\(\frac{1}{7}\) | |
| \(\frac{7}{62}\) | |
| -3 | |
| -1\(\frac{1}{3}\) |
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 equal sign and the answer on the other.
9z - 1 = \( \frac{z}{7} \)
7 x (9z - 1) = z
(7 x 9z) + (7 x -1) = z
63z - 7 = z
63z - 7 - z = 0
63z - z = 7
62z = 7
z = \( \frac{7}{62} \)
z = \(\frac{7}{62}\)
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
|
a2 - c2 |
|
c2 - a2 |
|
c - a |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
If a = c = 4, b = d = 2, what is the area of this rectangle?
| 8 | |
| 32 | |
| 4 | |
| 24 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 4 x 2
a = 8
Which of the following is not required to define the slope-intercept equation for a line?
y-intercept |
|
slope |
|
x-intercept |
|
\({\Delta y \over \Delta x}\) |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.