| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.64 |
| Score | 0% | 73% |
If a = c = 8, b = d = 9, and the blue angle = 57°, what is the area of this parallelogram?
| 72 | |
| 36 | |
| 2 | |
| 12 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 8 x 9
a = 72
What is 7a - 9a?
| -2a | |
| 63a2 | |
| 16 | |
| -2a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
7a - 9a = -2a
If AD = 21 and BD = 12, AB = ?
| 8 | |
| 9 | |
| 18 | |
| 3 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDSimplify (7a)(7ab) + (2a2)(5b).
| 98ab2 | |
| 39ab2 | |
| -39ab2 | |
| 59a2b |
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.
(7a)(7ab) + (2a2)(5b)
(7 x 7)(a x a x b) + (2 x 5)(a2 x b)
(49)(a1+1 x b) + (10)(a2b)
49a2b + 10a2b
59a2b
If a = c = 1, b = d = 4, what is the area of this rectangle?
| 32 | |
| 4 | |
| 49 | |
| 36 |
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