| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
The dimensions of this cube are height (h) = 2, length (l) = 7, and width (w) = 6. What is the surface area?
| 136 | |
| 38 | |
| 52 | |
| 64 |
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 7 x 6) + (2 x 6 x 2) + (2 x 7 x 2)
sa = (84) + (24) + (28)
sa = 136
Which of the following statements about a triangle is not true?
exterior angle = sum of two adjacent interior angles |
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sum of interior angles = 180° |
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area = ½bh |
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perimeter = sum of side lengths |
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.
The dimensions of this cube are height (h) = 2, length (l) = 7, and width (w) = 8. What is the volume?
| 12 | |
| 2 | |
| 128 | |
| 112 |
The volume of a cube is height x length x width:
v = h x l x w
v = 2 x 7 x 8
v = 112
Solve for c:
3c + 5 = 8 - 5c
| \(\frac{3}{8}\) | |
| \(\frac{1}{2}\) | |
| \(\frac{5}{6}\) | |
| \(\frac{7}{8}\) |
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.
3c + 5 = 8 - 5c
3c = 8 - 5c - 5
3c + 5c = 8 - 5
8c = 3
c = \( \frac{3}{8} \)
c = \(\frac{3}{8}\)
What is 6a4 - 7a4?
| -1 | |
| 42a4 | |
| -1a4 | |
| a48 |
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.
6a4 - 7a4 = -1a4