| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
The dimensions of this cube are height (h) = 4, length (l) = 7, and width (w) = 8. What is the volume?
| 24 | |
| 48 | |
| 105 | |
| 224 |
The volume of a cube is height x length x width:
v = h x l x w
v = 4 x 7 x 8
v = 224
The dimensions of this trapezoid are a = 6, b = 2, c = 7, d = 3, and h = 5. What is the area?
| 12\(\frac{1}{2}\) | |
| 22\(\frac{1}{2}\) | |
| 24 | |
| 32 |
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)(5)
a = ½(5)(5)
a = ½(25) = \( \frac{25}{2} \)
a = 12\(\frac{1}{2}\)
Simplify (5a)(9ab) + (3a2)(9b).
| 168ab2 | |
| 72a2b | |
| 18a2b | |
| -18ab2 |
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)(9ab) + (3a2)(9b)
(5 x 9)(a x a x b) + (3 x 9)(a2 x b)
(45)(a1+1 x b) + (27)(a2b)
45a2b + 27a2b
72a2b
A quadrilateral is a shape with __________ sides.
2 |
|
3 |
|
5 |
|
4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Solve -8a - a = -6a + 8y - 7 for a in terms of y.
| -\(\frac{9}{14}\)y + \(\frac{3}{14}\) | |
| -7y - 4 | |
| -\(\frac{5}{12}\)y - \(\frac{7}{12}\) | |
| -4\(\frac{1}{2}\)y + 3\(\frac{1}{2}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
-8a - y = -6a + 8y - 7
-8a = -6a + 8y - 7 + y
-8a + 6a = 8y - 7 + y
-2a = 9y - 7
a = \( \frac{9y - 7}{-2} \)
a = \( \frac{9y}{-2} \) + \( \frac{-7}{-2} \)
a = -4\(\frac{1}{2}\)y + 3\(\frac{1}{2}\)