| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
Simplify (6a)(6ab) + (9a2)(6b).
| 90a2b | |
| 90ab2 | |
| -18a2b | |
| -18ab2 |
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)(6ab) + (9a2)(6b)
(6 x 6)(a x a x b) + (9 x 6)(a2 x b)
(36)(a1+1 x b) + (54)(a2b)
36a2b + 54a2b
90a2b
If the base of this triangle is 8 and the height is 5, what is the area?
| 67\(\frac{1}{2}\) | |
| 20 | |
| 24 | |
| 58\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 8 x 5 = \( \frac{40}{2} \) = 20
If side a = 7, side b = 4, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{106} \) | |
| \( \sqrt{72} \) | |
| \( \sqrt{65} \) | |
| \( \sqrt{26} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 42
c2 = 49 + 16
c2 = 65
c = \( \sqrt{65} \)
If a = c = 1, b = d = 4, what is the area of this rectangle?
| 40 | |
| 5 | |
| 9 | |
| 4 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 1 x 4
a = 4
The endpoints of this line segment are at (-2, -3) and (2, 3). What is the slope of this line?
| -1\(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| 1 |
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, 3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)