| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
A right angle measures:
90° |
|
360° |
|
180° |
|
45° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
If a = c = 1, b = d = 3, and the blue angle = 55°, what is the area of this parallelogram?
| 20 | |
| 32 | |
| 40 | |
| 3 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 1 x 3
a = 3
Simplify (7a)(7ab) + (9a2)(4b).
| 85ab2 | |
| 85a2b | |
| -13ab2 | |
| 182ab2 |
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) + (9a2)(4b)
(7 x 7)(a x a x b) + (9 x 4)(a2 x b)
(49)(a1+1 x b) + (36)(a2b)
49a2b + 36a2b
85a2b
Simplify (y - 2)(y + 1)
| y2 - 3y + 2 | |
| y2 + 3y + 2 | |
| y2 - y - 2 | |
| y2 + y - 2 |
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 - 2)(y + 1)
(y x y) + (y x 1) + (-2 x y) + (-2 x 1)
y2 + y - 2y - 2
y2 - y - 2
The dimensions of this cylinder are height (h) = 3 and radius (r) = 8. What is the volume?
| 192π | |
| 392π | |
| 324π | |
| 128π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(82 x 3)
v = 192π