| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.77 |
| Score | 0% | 55% |
Which of the following is not required to define the slope-intercept equation for a line?
\({\Delta y \over \Delta x}\) |
|
slope |
|
x-intercept |
|
y-intercept |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
Simplify (y - 3)(y + 3)
| y2 - 9 | |
| y2 + 6y + 9 | |
| y2 - 6y + 9 | |
| 30 |
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:
(y - 3)(y + 3)
(y x y) + (y x 3) + (-3 x y) + (-3 x 3)
y2 + 3y - 3y - 9
y2 - 9
The dimensions of this trapezoid are a = 5, b = 5, c = 8, d = 5, and h = 3. What is the area?
| 13 | |
| 15 | |
| 24 | |
| 10\(\frac{1}{2}\) |
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 + 5)(3)
a = ½(10)(3)
a = ½(30) = \( \frac{30}{2} \)
a = 15
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
|
right, acute, obtuse |
|
right, obtuse, acute |
|
acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
The dimensions of this cylinder are height (h) = 4 and radius (r) = 1. What is the surface area?
| 10π | |
| 54π | |
| 18π | |
| 72π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 4)
sa = 2π(1) + 2π(4)
sa = (2 x 1)π + (2 x 4)π
sa = 2π + 8π
sa = 10π