| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.50 |
| Score | 0% | 70% |
Which of the following expressions contains exactly two terms?
monomial |
|
binomial |
|
polynomial |
|
quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
A coordinate grid is composed of which of the following?
x-axis |
|
origin |
|
all of these |
|
y-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
The dimensions of this cylinder are height (h) = 2 and radius (r) = 8. What is the surface area?
| 84π | |
| 96π | |
| 104π | |
| 160π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 2)
sa = 2π(64) + 2π(16)
sa = (2 x 64)π + (2 x 16)π
sa = 128π + 32π
sa = 160π
Solve for a:
a2 - 4a + 3 = 0
| 2 or 2 | |
| 4 or -2 | |
| 1 or 3 | |
| 3 or -1 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 - 4a + 3 = 0
(a - 1)(a - 3) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 1) or (a - 3) must equal zero:
If (a - 1) = 0, a must equal 1
If (a - 3) = 0, a must equal 3
So the solution is that a = 1 or 3
What is the circumference of a circle with a diameter of 6?
| 36π | |
| 4π | |
| 18π | |
| 6π |
The formula for circumference is circle diameter x π:
c = πd
c = 6π