| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
Solve for b:
-8b - 2 = -1 - 5b
| \(\frac{1}{5}\) | |
| \(\frac{2}{3}\) | |
| -\(\frac{1}{3}\) | |
| \(\frac{3}{4}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-8b - 2 = -1 - 5b
-8b = -1 - 5b + 2
-8b + 5b = -1 + 2
-3b = 1
b = \( \frac{1}{-3} \)
b = -\(\frac{1}{3}\)
The dimensions of this cube are height (h) = 2, length (l) = 1, and width (w) = 9. What is the surface area?
| 62 | |
| 112 | |
| 78 | |
| 58 |
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 1 x 9) + (2 x 9 x 2) + (2 x 1 x 2)
sa = (18) + (36) + (4)
sa = 58
The dimensions of this trapezoid are a = 5, b = 7, c = 7, d = 3, and h = 3. What is the area?
| 26 | |
| 15 | |
| 30 | |
| 25 |
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(7 + 3)(3)
a = ½(10)(3)
a = ½(30) = \( \frac{30}{2} \)
a = 15
If side a = 5, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{89} \) | |
| \( \sqrt{74} \) | |
| \( \sqrt{26} \) | |
| 5 |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 52 + 82
c2 = 25 + 64
c2 = 89
c = \( \sqrt{89} \)
If the base of this triangle is 1 and the height is 4, what is the area?
| 36 | |
| 97\(\frac{1}{2}\) | |
| 20 | |
| 2 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 1 x 4 = \( \frac{4}{2} \) = 2