| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.90 |
| Score | 0% | 58% |
Factor y2 + 3y - 28
| (y + 4)(y + 7) | |
| (y + 4)(y - 7) | |
| (y - 4)(y - 7) | |
| (y - 4)(y + 7) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -28 as well and sum (Inside, Outside) to equal 3. For this problem, those two numbers are -4 and 7. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 3y - 28
y2 + (-4 + 7)y + (-4 x 7)
(y - 4)(y + 7)
The dimensions of this cylinder are height (h) = 6 and radius (r) = 1. What is the surface area?
| 30π | |
| 160π | |
| 14π | |
| 20π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 6)
sa = 2π(1) + 2π(6)
sa = (2 x 1)π + (2 x 6)π
sa = 2π + 12π
sa = 14π
What is 2a6 - 8a6?
| 16a12 | |
| -6a6 | |
| -6 | |
| 10a12 |
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.
2a6 - 8a6 = -6a6
Solve 2c - 5c = 3c - 8x + 4 for c in terms of x.
| \(\frac{1}{3}\)x + 3 | |
| -\(\frac{10}{11}\)x + \(\frac{3}{11}\) | |
| 3x - 4 | |
| -1\(\frac{1}{5}\)x + \(\frac{1}{10}\) |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
2c - 5x = 3c - 8x + 4
2c = 3c - 8x + 4 + 5x
2c - 3c = -8x + 4 + 5x
-c = -3x + 4
c = \( \frac{-3x + 4}{-1} \)
c = \( \frac{-3x}{-1} \) + \( \frac{4}{-1} \)
c = 3x - 4
The dimensions of this cube are height (h) = 3, length (l) = 5, and width (w) = 4. What is the volume?
| 240 | |
| 24 | |
| 280 | |
| 60 |
The volume of a cube is height x length x width:
v = h x l x w
v = 3 x 5 x 4
v = 60