| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
What is the area of a circle with a diameter of 10?
| 49π | |
| 36π | |
| 25π | |
| 81π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π
Solve for y:
y2 - 3y - 4 = 0
| 1 or -9 | |
| -1 or 4 | |
| 3 or -1 | |
| 6 or -3 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 - 3y - 4 = 0
(y + 1)(y - 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 1) or (y - 4) must equal zero:
If (y + 1) = 0, y must equal -1
If (y - 4) = 0, y must equal 4
So the solution is that y = -1 or 4
The endpoints of this line segment are at (-2, -2) and (2, 6). What is the slope of this line?
| -1 | |
| -\(\frac{1}{2}\) | |
| 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, -2) and (2, 6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Odd |
|
Last |
|
Inside |
|
First |
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.
Simplify (4a)(8ab) - (6a2)(7b).
| -10a2b | |
| 156ab2 | |
| 74ab2 | |
| 10ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(4a)(8ab) - (6a2)(7b)
(4 x 8)(a x a x b) - (6 x 7)(a2 x b)
(32)(a1+1 x b) - (42)(a2b)
32a2b - 42a2b
-10a2b