| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
The dimensions of this cylinder are height (h) = 5 and radius (r) = 5. What is the volume?
| 4π | |
| 125π | |
| 128π | |
| 48π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(52 x 5)
v = 125π
Solve for c:
9c + 2 = \( \frac{c}{9} \)
| -\(\frac{1}{4}\) | |
| \(\frac{28}{31}\) | |
| -1\(\frac{1}{7}\) | |
| -\(\frac{9}{40}\) |
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.
9c + 2 = \( \frac{c}{9} \)
9 x (9c + 2) = c
(9 x 9c) + (9 x 2) = c
81c + 18 = c
81c + 18 - c = 0
81c - c = -18
80c = -18
c = \( \frac{-18}{80} \)
c = -\(\frac{9}{40}\)
If b = 7 and y = 9, what is the value of b(b - y)?
| 30 | |
| -162 | |
| 12 | |
| -14 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
b(b - y)
1(7)(7 - 9)
1(7)(-2)
(7)(-2)
-14
A right angle measures:
180° |
|
360° |
|
90° |
|
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 is not true about both rectangles and squares?
the lengths of all sides are equal |
|
all interior angles are right angles |
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the area is length x width |
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the perimeter is the sum of the lengths of all four sides |
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).