| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
What is the area of a circle with a diameter of 8?
| 6π | |
| 9π | |
| 8π | |
| 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
Which types of triangles will always have at least two sides of equal length?
equilateral and right |
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isosceles and right |
|
equilateral, isosceles and right |
|
equilateral and isosceles |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
What is 9a7 + 7a7?
| 16a7 | |
| a714 | |
| 63a14 | |
| 2a14 |
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.
9a7 + 7a7 = 16a7
Which of the following expressions contains exactly two terms?
polynomial |
|
quadratic |
|
monomial |
|
binomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
If side a = 3, side b = 4, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{52} \) | |
| \( \sqrt{32} \) | |
| 5 | |
| \( \sqrt{80} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 32 + 42
c2 = 9 + 16
c2 = 25
c = \( \sqrt{25} \)
c = 5