| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
Factor y2 + 3y - 54
| (y + 6)(y - 9) | |
| (y + 6)(y + 9) | |
| (y - 6)(y + 9) | |
| (y - 6)(y - 9) |
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 -54 as well and sum (Inside, Outside) to equal 3. For this problem, those two numbers are -6 and 9. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 3y - 54
y2 + (-6 + 9)y + (-6 x 9)
(y - 6)(y + 9)
The dimensions of this trapezoid are a = 5, b = 5, c = 8, d = 6, and h = 3. What is the area?
| 16\(\frac{1}{2}\) | |
| 11 | |
| 15 | |
| 10 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(5 + 6)(3)
a = ½(11)(3)
a = ½(33) = \( \frac{33}{2} \)
a = 16\(\frac{1}{2}\)
The endpoints of this line segment are at (-2, 6) and (2, -2). What is the slope of this line?
| -2 | |
| -1 | |
| -3 | |
| 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, 6) and (2, -2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)The dimensions of this cylinder are height (h) = 5 and radius (r) = 1. What is the volume?
| 294π | |
| 5π | |
| 576π | |
| 7π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(12 x 5)
v = 5π
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
|
addition |
|
pairs |
|
exponents |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)