| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.85 |
| Score | 0% | 57% |
Solve for z:
-5z + 6 > \( \frac{z}{-2} \)
| z > -1\(\frac{5}{11}\) | |
| z > -3\(\frac{1}{2}\) | |
| z > 1\(\frac{1}{3}\) | |
| z > -1\(\frac{1}{14}\) |
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.
-5z + 6 > \( \frac{z}{-2} \)
-2 x (-5z + 6) > z
(-2 x -5z) + (-2 x 6) > z
10z - 12 > z
10z - 12 - z > 0
10z - z > 12
9z > 12
z > \( \frac{12}{9} \)
z > 1\(\frac{1}{3}\)
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
2lw x 2wh + 2lh |
|
h x l x w |
|
h2 x l2 x w2 |
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.
On this circle, a line segment connecting point A to point D is called:
radius |
|
circumference |
|
diameter |
|
chord |
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).
Solve for z:
2z + 5 = \( \frac{z}{-3} \)
| \(\frac{25}{36}\) | |
| 2 | |
| -2\(\frac{1}{7}\) | |
| -3\(\frac{3}{7}\) |
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.
2z + 5 = \( \frac{z}{-3} \)
-3 x (2z + 5) = z
(-3 x 2z) + (-3 x 5) = z
-6z - 15 = z
-6z - 15 - z = 0
-6z - z = 15
-7z = 15
z = \( \frac{15}{-7} \)
z = -2\(\frac{1}{7}\)
The dimensions of this cube are height (h) = 8, length (l) = 6, and width (w) = 6. What is the volume?
| 84 | |
| 160 | |
| 288 | |
| 567 |
The volume of a cube is height x length x width:
v = h x l x w
v = 8 x 6 x 6
v = 288