| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
h2 x l2 x w2 |
|
2lw x 2wh + 2lh |
|
h x l x w |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
Solve for z:
-8z - 1 > \( \frac{z}{3} \)
| z > 3\(\frac{3}{23}\) | |
| z > -\(\frac{3}{25}\) | |
| z > \(\frac{28}{31}\) | |
| z > -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.
-8z - 1 > \( \frac{z}{3} \)
3 x (-8z - 1) > z
(3 x -8z) + (3 x -1) > z
-24z - 3 > z
-24z - 3 - z > 0
-24z - z > 3
-25z > 3
z > \( \frac{3}{-25} \)
z > -\(\frac{3}{25}\)
A right angle measures:
360° |
|
90° |
|
180° |
|
45° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Which of the following statements about a parallelogram is not true?
the perimeter of a parallelogram is the sum of the lengths of all sides |
|
a parallelogram is a quadrilateral |
|
opposite sides and adjacent angles are equal |
|
the area of a parallelogram is base x height |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
Solve for b:
-8b + 7 = 6 - 9b
| -1 | |
| -4 | |
| \(\frac{4}{7}\) | |
| \(\frac{5}{6}\) |
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.
-8b + 7 = 6 - 9b
-8b = 6 - 9b - 7
-8b + 9b = 6 - 7
b = -1