| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
What is 8a6 - 6a6?
| 14a12 | |
| 2a6 | |
| 2 | |
| 48a12 |
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.
8a6 - 6a6 = 2a6
The dimensions of this trapezoid are a = 4, b = 3, c = 5, d = 3, and h = 2. What is the area?
| 4 | |
| 30 | |
| 6 | |
| 16 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(3 + 3)(2)
a = ½(6)(2)
a = ½(12) = \( \frac{12}{2} \)
a = 6
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
|
right, obtuse, acute |
|
acute, obtuse, right |
|
right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
What is the area of a circle with a diameter of 8?
| 5π | |
| 2π | |
| 36π | |
| 16π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr2
a = π(42)
a = 16π
For this diagram, the Pythagorean theorem states that b2 = ?
a2 - c2 |
|
c2 - a2 |
|
c2 + a2 |
|
c - a |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)