| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.56 |
| Score | 0% | 71% |
The dimensions of this trapezoid are a = 6, b = 2, c = 8, d = 6, and h = 4. What is the area?
| 12 | |
| 22\(\frac{1}{2}\) | |
| 26 | |
| 16 |
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(2 + 6)(4)
a = ½(8)(4)
a = ½(32) = \( \frac{32}{2} \)
a = 16
What is 4a + 6a?
| a2 | |
| 10a | |
| 24a | |
| -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.
4a + 6a = 10a
If a = 6, b = 8, c = 1, and d = 2, what is the perimeter of this quadrilateral?
| 17 | |
| 16 | |
| 27 | |
| 19 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 6 + 8 + 1 + 2
p = 17
Simplify 5a x 7b.
| 35\( \frac{b}{a} \) | |
| 35\( \frac{a}{b} \) | |
| 35ab | |
| 35a2b2 |
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.
5a x 7b = (5 x 7) (a x b) = 35ab
The dimensions of this cylinder are height (h) = 1 and radius (r) = 7. What is the surface area?
| 234π | |
| 80π | |
| 120π | |
| 112π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(72) + 2π(7 x 1)
sa = 2π(49) + 2π(7)
sa = (2 x 49)π + (2 x 7)π
sa = 98π + 14π
sa = 112π