| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.12 |
| Score | 0% | 62% |
The dimensions of this cube are height (h) = 3, length (l) = 1, and width (w) = 1. What is the surface area?
| 198 | |
| 136 | |
| 118 | |
| 14 |
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 1 x 1) + (2 x 1 x 3) + (2 x 1 x 3)
sa = (2) + (6) + (6)
sa = 14
On this circle, line segment CD is the:
radius |
|
chord |
|
circumference |
|
diameter |
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).
Find the value of b:
8b + y = 1
8b - 4y = 1
| 1\(\frac{3}{8}\) | |
| \(\frac{31}{42}\) | |
| -6\(\frac{3}{4}\) | |
| \(\frac{1}{8}\) |
You need to find the value of b so solve the first equation in terms of y:
8b + y = 1
y = 1 - 8b
then substitute the result (1 - 8b) into the second equation:
8b - 4(1 - 8b) = 1
8b + (-4 x 1) + (-4 x -8b) = 1
8b - 4 + 32b = 1
8b + 32b = 1 + 4
40b = 5
b = \( \frac{5}{40} \)
b = \(\frac{1}{8}\)
A coordinate grid is composed of which of the following?
y-axis |
|
origin |
|
all of these |
|
x-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
What is 4a + 6a?
| 24a2 | |
| 10a | |
| -2a2 | |
| 10a2 |
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.
4a + 6a = 10a