| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.84 |
| Score | 0% | 57% |
Solve for b:
-4b - 1 = \( \frac{b}{-2} \)
| -1\(\frac{5}{19}\) | |
| -\(\frac{2}{7}\) | |
| 3 | |
| 3\(\frac{3}{17}\) |
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.
-4b - 1 = \( \frac{b}{-2} \)
-2 x (-4b - 1) = b
(-2 x -4b) + (-2 x -1) = b
8b + 2 = b
8b + 2 - b = 0
8b - b = -2
7b = -2
b = \( \frac{-2}{7} \)
b = -\(\frac{2}{7}\)
Find the value of a:
2a + x = -6
2a - 7x = 9
| -2\(\frac{4}{15}\) | |
| -\(\frac{5}{57}\) | |
| -\(\frac{65}{76}\) | |
| -2\(\frac{1}{16}\) |
You need to find the value of a so solve the first equation in terms of x:
2a + x = -6
x = -6 - 2a
then substitute the result (-6 - 2a) into the second equation:
2a - 7(-6 - 2a) = 9
2a + (-7 x -6) + (-7 x -2a) = 9
2a + 42 + 14a = 9
2a + 14a = 9 - 42
16a = -33
a = \( \frac{-33}{16} \)
a = -2\(\frac{1}{16}\)
The dimensions of this cube are height (h) = 6, length (l) = 4, and width (w) = 5. What is the volume?
| 30 | |
| 18 | |
| 224 | |
| 120 |
The volume of a cube is height x length x width:
v = h x l x w
v = 6 x 4 x 5
v = 120
What is the area of a circle with a diameter of 8?
| 9π | |
| 2π | |
| 64π | |
| 16π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr2
a = π(42)
a = 16π
Solve for z:
4z + 3 < \( \frac{z}{7} \)
| z < -\(\frac{7}{9}\) | |
| z < -6\(\frac{2}{5}\) | |
| z < 1\(\frac{15}{34}\) | |
| z < -\(\frac{1}{2}\) |
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.
4z + 3 < \( \frac{z}{7} \)
7 x (4z + 3) < z
(7 x 4z) + (7 x 3) < z
28z + 21 < z
28z + 21 - z < 0
28z - z < -21
27z < -21
z < \( \frac{-21}{27} \)
z < -\(\frac{7}{9}\)