| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
Solve for x:
9x - 7 > \( \frac{x}{8} \)
| x > \(\frac{4}{17}\) | |
| x > \(\frac{9}{14}\) | |
| x > -1\(\frac{1}{2}\) | |
| x > \(\frac{56}{71}\) |
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.
9x - 7 > \( \frac{x}{8} \)
8 x (9x - 7) > x
(8 x 9x) + (8 x -7) > x
72x - 56 > x
72x - 56 - x > 0
72x - x > 56
71x > 56
x > \( \frac{56}{71} \)
x > \(\frac{56}{71}\)
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h |
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4π r2 |
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π r2h2 |
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2(π r2) + 2π rh |
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.
Which of the following statements about math operations is incorrect?
you can subtract monomials that have the same variable and the same exponent |
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you can multiply monomials that have different variables and different exponents |
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you can add monomials that have the same variable and the same exponent |
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all of these statements are correct |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
If side x = 13cm, side y = 5cm, and side z = 12cm what is the perimeter of this triangle?
| 30cm | |
| 41cm | |
| 33cm | |
| 23cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 13cm + 5cm + 12cm = 30cm
If a = 7, b = 6, c = 9, and d = 3, what is the perimeter of this quadrilateral?
| 19 | |
| 18 | |
| 21 | |
| 25 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 7 + 6 + 9 + 3
p = 25