| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
The dimensions of this trapezoid are a = 4, b = 2, c = 6, d = 3, and h = 2. What is the area?
| 19\(\frac{1}{2}\) | |
| 5 | |
| 20 | |
| 18 |
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 + 3)(2)
a = ½(5)(2)
a = ½(10) = \( \frac{10}{2} \)
a = 5
What is 4a6 + 7a6?
| 28a6 | |
| a612 | |
| 28a12 | |
| 11a6 |
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.
4a6 + 7a6 = 11a6
If side x = 6cm, side y = 12cm, and side z = 6cm what is the perimeter of this triangle?
| 39cm | |
| 24cm | |
| 33cm | |
| 37cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 6cm + 12cm + 6cm = 24cm
Simplify (2a)(2ab) - (5a2)(9b).
| 56a2b | |
| 56ab2 | |
| 49ab2 | |
| -41a2b |
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.
(2a)(2ab) - (5a2)(9b)
(2 x 2)(a x a x b) - (5 x 9)(a2 x b)
(4)(a1+1 x b) - (45)(a2b)
4a2b - 45a2b
-41a2b
If a = c = 3, b = d = 4, and the blue angle = 73°, what is the area of this parallelogram?
| 12 | |
| 3 | |
| 63 | |
| 7 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 3 x 4
a = 12