| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
Solve for x:
-5x - 8 > \( \frac{x}{3} \)
| x > \(\frac{15}{28}\) | |
| x > -1\(\frac{13}{22}\) | |
| x > -1\(\frac{1}{2}\) | |
| x > \(\frac{8}{11}\) |
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.
-5x - 8 > \( \frac{x}{3} \)
3 x (-5x - 8) > x
(3 x -5x) + (3 x -8) > x
-15x - 24 > x
-15x - 24 - x > 0
-15x - x > 24
-16x > 24
x > \( \frac{24}{-16} \)
x > -1\(\frac{1}{2}\)
Which of the following is not true about both rectangles and squares?
all interior angles are right angles |
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the lengths of all sides are equal |
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the perimeter is the sum of the lengths of all four sides |
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the area is length x width |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
The dimensions of this cube are height (h) = 2, length (l) = 9, and width (w) = 9. What is the surface area?
| 102 | |
| 234 | |
| 178 | |
| 118 |
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 9 x 9) + (2 x 9 x 2) + (2 x 9 x 2)
sa = (162) + (36) + (36)
sa = 234
What is 3a9 + 4a9?
| 12a9 | |
| 7a18 | |
| 7a9 | |
| 7 |
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.
3a9 + 4a9 = 7a9
A coordinate grid is composed of which of the following?
all of these |
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x-axis |
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origin |
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y-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.