| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
If the base of this triangle is 2 and the height is 8, what is the area?
| 35 | |
| 8 | |
| 30 | |
| 42 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 2 x 8 = \( \frac{16}{2} \) = 8
Simplify (7a)(7ab) + (2a2)(5b).
| 59a2b | |
| 98a2b | |
| -39ab2 | |
| -39a2b |
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
What is 4a - 5a?
| 9 | |
| -1a | |
| -a2 | |
| -1 |
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.
4a - 5a = -1a
Simplify (y + 8)(y + 2)
| y2 + 10y + 16 | |
| y2 - 10y + 16 | |
| y2 - 6y - 16 | |
| y2 + 6y - 16 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 8)(y + 2)
(y x y) + (y x 2) + (8 x y) + (8 x 2)
y2 + 2y + 8y + 16
y2 + 10y + 16
The dimensions of this cylinder are height (h) = 2 and radius (r) = 8. What is the volume?
| 64π | |
| 48π | |
| 200π | |
| 128π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(82 x 2)
v = 128π