| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.95 |
| Score | 0% | 59% |
Find the value of b:
-2b + x = -2
2b + 6x = 8
| 1\(\frac{3}{7}\) | |
| \(\frac{7}{15}\) | |
| -1\(\frac{5}{9}\) | |
| 2\(\frac{7}{13}\) |
You need to find the value of b so solve the first equation in terms of x:
-2b + x = -2
x = -2 + 2b
then substitute the result (-2 - -2b) into the second equation:
2b + 6(-2 + 2b) = 8
2b + (6 x -2) + (6 x 2b) = 8
2b - 12 + 12b = 8
2b + 12b = 8 + 12
14b = 20
b = \( \frac{20}{14} \)
b = 1\(\frac{3}{7}\)
The dimensions of this cylinder are height (h) = 9 and radius (r) = 4. What is the surface area?
| 104π | |
| 140π | |
| 20π | |
| 4π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 9)
sa = 2π(16) + 2π(36)
sa = (2 x 16)π + (2 x 36)π
sa = 32π + 72π
sa = 104π
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
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2lw x 2wh + 2lh |
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h2 x l2 x w2 |
|
lw x wh + lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
Which of the following expressions contains exactly two terms?
polynomial |
|
binomial |
|
quadratic |
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monomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
The dimensions of this trapezoid are a = 4, b = 7, c = 6, d = 7, and h = 2. What is the area?
| 24 | |
| 14 | |
| 26 | |
| 12 |
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 + 7)(2)
a = ½(14)(2)
a = ½(28) = \( \frac{28}{2} \)
a = 14