| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.97 |
| Score | 0% | 59% |
If b = 5 and z = -8, what is the value of -b(b - z)?
| -21 | |
| -120 | |
| 21 | |
| -65 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-b(b - z)
-1(5)(5 + 8)
-1(5)(13)
(-5)(13)
-65
The dimensions of this cylinder are height (h) = 7 and radius (r) = 2. What is the surface area?
| 234π | |
| 36π | |
| 48π | |
| 10π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(22) + 2π(2 x 7)
sa = 2π(4) + 2π(14)
sa = (2 x 4)π + (2 x 14)π
sa = 8π + 28π
sa = 36π
Solve for z:
4z - 2 = -3 - 6z
| -2\(\frac{2}{3}\) | |
| \(\frac{2}{7}\) | |
| -\(\frac{1}{10}\) | |
| \(\frac{1}{4}\) |
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.
4z - 2 = -3 - 6z
4z = -3 - 6z + 2
4z + 6z = -3 + 2
10z = -1
z = \( \frac{-1}{10} \)
z = -\(\frac{1}{10}\)
If AD = 27 and BD = 25, AB = ?
| 7 | |
| 11 | |
| 2 | |
| 14 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD
The endpoints of this line segment are at (-2, 1) and (2, 5). What is the slope of this line?
| 1 | |
| -3 | |
| -\(\frac{1}{2}\) | |
| -1\(\frac{1}{2}\) |
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, 1) and (2, 5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (1.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)