| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
What is the area of a circle with a radius of 5?
| 25π | |
| 64π | |
| 49π | |
| 7π |
The formula for area is πr2:
a = πr2
a = π(52)
a = 25π
If a = 7, b = 7, c = 5, and d = 3, what is the perimeter of this quadrilateral?
| 11 | |
| 22 | |
| 23 | |
| 31 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 7 + 7 + 5 + 3
p = 22
The dimensions of this trapezoid are a = 6, b = 9, c = 8, d = 8, and h = 5. What is the area?
| 20 | |
| 14 | |
| 15 | |
| 42\(\frac{1}{2}\) |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(9 + 8)(5)
a = ½(17)(5)
a = ½(85) = \( \frac{85}{2} \)
a = 42\(\frac{1}{2}\)
The dimensions of this cube are height (h) = 5, length (l) = 2, and width (w) = 3. What is the surface area?
| 246 | |
| 182 | |
| 202 | |
| 62 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 2 x 3) + (2 x 3 x 5) + (2 x 2 x 5)
sa = (12) + (30) + (20)
sa = 62
Simplify (8a)(4ab) + (8a2)(6b).
| 80a2b | |
| 16a2b | |
| -16a2b | |
| -16ab2 |
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.
(8a)(4ab) + (8a2)(6b)
(8 x 4)(a x a x b) + (8 x 6)(a2 x b)
(32)(a1+1 x b) + (48)(a2b)
32a2b + 48a2b
80a2b