| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
Find the value of c:
8c + x = 2
4c + 9x = -8
| \(\frac{13}{34}\) | |
| \(\frac{29}{32}\) | |
| -9 | |
| -4\(\frac{2}{5}\) |
You need to find the value of c so solve the first equation in terms of x:
8c + x = 2
x = 2 - 8c
then substitute the result (2 - 8c) into the second equation:
4c + 9(2 - 8c) = -8
4c + (9 x 2) + (9 x -8c) = -8
4c + 18 - 72c = -8
4c - 72c = -8 - 18
-68c = -26
c = \( \frac{-26}{-68} \)
c = \(\frac{13}{34}\)
The dimensions of this cube are height (h) = 7, length (l) = 1, and width (w) = 6. What is the volume?
| 30 | |
| 210 | |
| 324 | |
| 42 |
The volume of a cube is height x length x width:
v = h x l x w
v = 7 x 1 x 6
v = 42
A right angle measures:
360° |
|
180° |
|
90° |
|
45° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
The endpoints of this line segment are at (-2, -6) and (2, 0). What is the slope of this line?
| \(\frac{1}{2}\) | |
| -1 | |
| 1\(\frac{1}{2}\) | |
| -3 |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -6) and (2, 0) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (-6.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)If a = c = 3, b = d = 4, what is the area of this rectangle?
| 12 | |
| 18 | |
| 36 | |
| 16 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 4
a = 12