| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
On this circle, a line segment connecting point A to point D is called:
diameter |
|
chord |
|
radius |
|
circumference |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
addition |
|
division |
|
exponents |
|
pairs |
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.)
The dimensions of this cube are height (h) = 7, length (l) = 3, and width (w) = 9. What is the surface area?
| 322 | |
| 188 | |
| 88 | |
| 222 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 9) + (2 x 9 x 7) + (2 x 3 x 7)
sa = (54) + (126) + (42)
sa = 222
If BD = 9 and AD = 13, AB = ?
| 7 | |
| 4 | |
| 9 | |
| 10 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD
The endpoints of this line segment are at (-2, -3) and (2, 7). What is the slope-intercept equation for this line?
| y = 2\(\frac{1}{2}\)x + 2 | |
| y = -2x + 2 | |
| y = 2\(\frac{1}{2}\)x + 1 | |
| y = \(\frac{1}{2}\)x - 1 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 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, -3) and (2, 7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(7.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)Plugging these values into the slope-intercept equation:
y = 2\(\frac{1}{2}\)x + 2