| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.95 |
| Score | 0% | 59% |
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
|
rhombus |
|
triangle |
|
trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Solve for a:
a + 3 = \( \frac{a}{6} \)
| -\(\frac{8}{21}\) | |
| -\(\frac{10}{41}\) | |
| \(\frac{40}{71}\) | |
| -3\(\frac{3}{5}\) |
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.
a + 3 = \( \frac{a}{6} \)
6 x (a + 3) = a
(6 x a) + (6 x 3) = a
6a + 18 = a
6a + 18 - a = 0
6a - a = -18
5a = -18
a = \( \frac{-18}{5} \)
a = -3\(\frac{3}{5}\)
What is the circumference of a circle with a radius of 5?
| 10π | |
| 6π | |
| 14π | |
| 30π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 5)
c = 10π
What is 2a5 - 6a5?
| 8 | |
| 8a10 | |
| 12a5 | |
| -4a5 |
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.
2a5 - 6a5 = -4a5
The dimensions of this cube are height (h) = 8, length (l) = 7, and width (w) = 2. What is the surface area?
| 172 | |
| 64 | |
| 142 | |
| 70 |
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 2) + (2 x 2 x 8) + (2 x 7 x 8)
sa = (28) + (32) + (112)
sa = 172