| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.97 |
| Score | 0% | 59% |
Solve for x:
-8x - 7 > -5 + 5x
| x > -1\(\frac{3}{5}\) | |
| x > -\(\frac{2}{13}\) | |
| x > -1 | |
| x > \(\frac{1}{3}\) |
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.
-8x - 7 > -5 + 5x
-8x > -5 + 5x + 7
-8x - 5x > -5 + 7
-13x > 2
x > \( \frac{2}{-13} \)
x > -\(\frac{2}{13}\)
The dimensions of this cylinder are height (h) = 4 and radius (r) = 8. What is the surface area?
| 90π | |
| 192π | |
| 16π | |
| 160π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 4)
sa = 2π(64) + 2π(32)
sa = (2 x 64)π + (2 x 32)π
sa = 128π + 64π
sa = 192π
If the base of this triangle is 4 and the height is 3, what is the area?
| 37\(\frac{1}{2}\) | |
| 6 | |
| 67\(\frac{1}{2}\) | |
| 60 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 4 x 3 = \( \frac{12}{2} \) = 6
Which of the following statements about a triangle is not true?
area = ½bh |
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perimeter = sum of side lengths |
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sum of interior angles = 180° |
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exterior angle = sum of two adjacent interior angles |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.
What is 4a - 4a?
| 16a | |
| a2 | |
| 0a | |
| 8 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
4a - 4a = 0a