| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.76 |
| Score | 0% | 55% |
Solve b - 7b = -b - 8x - 9 for b in terms of x.
| -\(\frac{1}{2}\)x - 4\(\frac{1}{2}\) | |
| 3\(\frac{1}{2}\)x - 4\(\frac{1}{2}\) | |
| x + 1 | |
| -x - 6 |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
b - 7x = -b - 8x - 9
b = -b - 8x - 9 + 7x
b + b = -8x - 9 + 7x
2b = -x - 9
b = \( \frac{-x - 9}{2} \)
b = \( \frac{-x}{2} \) + \( \frac{-9}{2} \)
b = -\(\frac{1}{2}\)x - 4\(\frac{1}{2}\)
Solve for z:
9z - 2 < 8 + 2z
| z < 2\(\frac{1}{4}\) | |
| z < -6 | |
| z < 1\(\frac{3}{7}\) | |
| z < 1 |
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 < sign and the answer on the other.
9z - 2 < 8 + 2z
9z < 8 + 2z + 2
9z - 2z < 8 + 2
7z < 10
z < \( \frac{10}{7} \)
z < 1\(\frac{3}{7}\)
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
|
π r2h |
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2(π r2) + 2π rh |
|
π r2h2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
|
parallel |
|
equal length |
|
equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
If a = c = 4, b = d = 8, and the blue angle = 63°, what is the area of this parallelogram?
| 64 | |
| 7 | |
| 32 | |
| 30 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 4 x 8
a = 32