| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.97 |
| Score | 0% | 59% |
If a = c = 3, b = d = 7, what is the area of this rectangle?
| 64 | |
| 12 | |
| 4 | |
| 21 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 7
a = 21
On this circle, line segment CD is the:
chord |
|
radius |
|
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).
The dimensions of this cube are height (h) = 8, length (l) = 5, and width (w) = 8. What is the surface area?
| 288 | |
| 78 | |
| 138 | |
| 118 |
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 5 x 8) + (2 x 8 x 8) + (2 x 5 x 8)
sa = (80) + (128) + (80)
sa = 288
Find the value of b:
9b + y = 3
7b - 7y = 1
| -\(\frac{9}{14}\) | |
| \(\frac{11}{35}\) | |
| -1\(\frac{19}{26}\) |
You need to find the value of b so solve the first equation in terms of y:
9b + y = 3
y = 3 - 9b
then substitute the result (3 - 9b) into the second equation:
7b - 7(3 - 9b) = 1
7b + (-7 x 3) + (-7 x -9b) = 1
7b - 21 + 63b = 1
7b + 63b = 1 + 21
70b = 22
b = \( \frac{22}{70} \)
b = \(\frac{11}{35}\)
What is 7a - 6a?
| a2 | |
| 13 | |
| 13a2 | |
| 1a |
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.
7a - 6a = 1a