| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
Solve for a:
a2 + 3a + 2 = 0
| -1 or -2 | |
| 5 or -8 | |
| 3 or -2 | |
| 9 or -1 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 + 3a + 2 = 0
(a + 1)(a + 2) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 1) or (a + 2) must equal zero:
If (a + 1) = 0, a must equal -1
If (a + 2) = 0, a must equal -2
So the solution is that a = -1 or -2
Which of the following expressions contains exactly two terms?
binomial |
|
polynomial |
|
monomial |
|
quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
The endpoints of this line segment are at (-2, 0) and (2, -4). What is the slope of this line?
| -\(\frac{1}{2}\) | |
| 1 | |
| 2 | |
| -1 |
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, 0) and (2, -4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (0.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)What is 2a + 5a?
| 10a2 | |
| 7a | |
| 10a | |
| 7a2 |
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.
2a + 5a = 7a
If side a = 8, side b = 3, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{97} \) | |
| \( \sqrt{73} \) | |
| \( \sqrt{41} \) | |
| \( \sqrt{17} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 82 + 32
c2 = 64 + 9
c2 = 73
c = \( \sqrt{73} \)