| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.41 |
| Score | 0% | 68% |
Simplify (6a)(8ab) + (6a2)(6b).
| 168ab2 | |
| 84ab2 | |
| -12a2b | |
| 84a2b |
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.
(6a)(8ab) + (6a2)(6b)
(6 x 8)(a x a x b) + (6 x 6)(a2 x b)
(48)(a1+1 x b) + (36)(a2b)
48a2b + 36a2b
84a2b
If a = c = 8, b = d = 3, what is the area of this rectangle?
| 10 | |
| 25 | |
| 40 | |
| 24 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 8 x 3
a = 24
A coordinate grid is composed of which of the following?
y-axis |
|
x-axis |
|
all of these |
|
origin |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
|
acute, obtuse |
|
vertical, supplementary |
|
obtuse, acute |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
The endpoints of this line segment are at (-2, 1) and (2, 5). What is the slope-intercept equation for this line?
| y = x + 3 | |
| y = x - 1 | |
| y = 3x - 4 | |
| y = -1\(\frac{1}{2}\)x + 3 |
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 3. 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, 1) and (2, 5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (1.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)Plugging these values into the slope-intercept equation:
y = x + 3