| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
The dimensions of this cube are height (h) = 3, length (l) = 1, and width (w) = 1. What is the surface area?
| 258 | |
| 190 | |
| 14 | |
| 80 |
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 1 x 1) + (2 x 1 x 3) + (2 x 1 x 3)
sa = (2) + (6) + (6)
sa = 14
Simplify (y - 8)(y + 2)
| y2 + 10y + 16 | |
| y2 + 6y - 16 | |
| y2 - 6y - 16 | |
| y2 - 10y + 16 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 8)(y + 2)
(y x y) + (y x 2) + (-8 x y) + (-8 x 2)
y2 + 2y - 8y - 16
y2 - 6y - 16
Solve -5c + 6c = 9c + 3y + 8 for c in terms of y.
| -\(\frac{1}{2}\)y - 4\(\frac{1}{2}\) | |
| \(\frac{1}{2}\)y + 4\(\frac{1}{2}\) | |
| -1\(\frac{5}{11}\)y - \(\frac{8}{11}\) | |
| \(\frac{3}{14}\)y - \(\frac{4}{7}\) |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
-5c + 6y = 9c + 3y + 8
-5c = 9c + 3y + 8 - 6y
-5c - 9c = 3y + 8 - 6y
-14c = -3y + 8
c = \( \frac{-3y + 8}{-14} \)
c = \( \frac{-3y}{-14} \) + \( \frac{8}{-14} \)
c = \(\frac{3}{14}\)y - \(\frac{4}{7}\)
A quadrilateral is a shape with __________ sides.
4 |
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2 |
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3 |
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5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The dimensions of this cube are height (h) = 1, length (l) = 9, and width (w) = 7. What is the volume?
| 405 | |
| 252 | |
| 224 | |
| 63 |
The volume of a cube is height x length x width:
v = h x l x w
v = 1 x 9 x 7
v = 63