| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
If a = c = 9, b = d = 3, and the blue angle = 70°, what is the area of this parallelogram?
| 35 | |
| 25 | |
| 3 | |
| 27 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 9 x 3
a = 27
Simplify (2a)(3ab) - (9a2)(5b).
| 51a2b | |
| 70a2b | |
| -39a2b | |
| 39ab2 |
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.
(2a)(3ab) - (9a2)(5b)
(2 x 3)(a x a x b) - (9 x 5)(a2 x b)
(6)(a1+1 x b) - (45)(a2b)
6a2b - 45a2b
-39a2b
If the base of this triangle is 2 and the height is 6, what is the area?
| 24\(\frac{1}{2}\) | |
| 71\(\frac{1}{2}\) | |
| 82\(\frac{1}{2}\) | |
| 6 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 2 x 6 = \( \frac{12}{2} \) = 6
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
|
acute, obtuse, right |
|
acute, right, obtuse |
|
right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Solve for a:
-3a - 3 = \( \frac{a}{9} \)
| -\(\frac{27}{28}\) | |
| -1\(\frac{8}{41}\) | |
| 1\(\frac{11}{25}\) | |
| \(\frac{9}{53}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-3a - 3 = \( \frac{a}{9} \)
9 x (-3a - 3) = a
(9 x -3a) + (9 x -3) = a
-27a - 27 = a
-27a - 27 - a = 0
-27a - a = 27
-28a = 27
a = \( \frac{27}{-28} \)
a = -\(\frac{27}{28}\)