| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
Simplify (5a)(6ab) - (6a2)(6b).
| 66ab2 | |
| 132ab2 | |
| 132a2b | |
| -6a2b |
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.
(5a)(6ab) - (6a2)(6b)
(5 x 6)(a x a x b) - (6 x 6)(a2 x b)
(30)(a1+1 x b) - (36)(a2b)
30a2b - 36a2b
-6a2b
If the length of AB equals the length of BD, point B __________ this line segment.
midpoints |
|
intersects |
|
bisects |
|
trisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
If a = c = 2, b = d = 4, and the blue angle = 74°, what is the area of this parallelogram?
| 4 | |
| 8 | |
| 18 | |
| 2 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 2 x 4
a = 8
If side a = 4, side b = 1, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{17} \) | |
| \( \sqrt{40} \) | |
| \( \sqrt{58} \) | |
| \( \sqrt{162} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 12
c2 = 16 + 1
c2 = 17
c = \( \sqrt{17} \)
If BD = 28 and AD = 29, AB = ?
| 9 | |
| 18 | |
| 1 | |
| 13 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD