| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Odd |
|
First |
|
Inside |
|
Last |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.
If side a = 4, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{97} \) | |
| \( \sqrt{50} \) | |
| \( \sqrt{82} \) | |
| \( \sqrt{80} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 82
c2 = 16 + 64
c2 = 80
c = \( \sqrt{80} \)
The dimensions of this cylinder are height (h) = 6 and radius (r) = 9. What is the surface area?
| 8π | |
| 24π | |
| 140π | |
| 270π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 6)
sa = 2π(81) + 2π(54)
sa = (2 x 81)π + (2 x 54)π
sa = 162π + 108π
sa = 270π
The dimensions of this cube are height (h) = 3, length (l) = 2, and width (w) = 3. What is the surface area?
| 146 | |
| 40 | |
| 88 | |
| 42 |
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 2 x 3) + (2 x 3 x 3) + (2 x 2 x 3)
sa = (12) + (18) + (12)
sa = 42
Solve for a:
a2 - 4a - 21 = 0
| 8 or 3 | |
| 6 or -2 | |
| 4 or -9 | |
| -3 or 7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 - 4a - 21 = 0
(a + 3)(a - 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 3) or (a - 7) must equal zero:
If (a + 3) = 0, a must equal -3
If (a - 7) = 0, a must equal 7
So the solution is that a = -3 or 7