| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
Solve for z:
2z - 8 < -3 + 7z
| z < -1\(\frac{1}{2}\) | |
| z < -\(\frac{8}{9}\) | |
| z < -1\(\frac{3}{5}\) | |
| z < -1 |
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.
2z - 8 < -3 + 7z
2z < -3 + 7z + 8
2z - 7z < -3 + 8
-5z < 5
z < \( \frac{5}{-5} \)
z < -1
On this circle, a line segment connecting point A to point D is called:
radius |
|
chord |
|
diameter |
|
circumference |
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).
The dimensions of this cube are height (h) = 2, length (l) = 3, and width (w) = 3. What is the surface area?
| 306 | |
| 68 | |
| 42 | |
| 160 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 3) + (2 x 3 x 2) + (2 x 3 x 2)
sa = (18) + (12) + (12)
sa = 42
If a = c = 2, b = d = 6, and the blue angle = 70°, what is the area of this parallelogram?
| 49 | |
| 12 | |
| 18 | |
| 32 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 2 x 6
a = 12
What is 8a2 - 6a2?
| 2a2 | |
| 48a2 | |
| 48a4 | |
| 2a4 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
8a2 - 6a2 = 2a2