| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.83 |
| Score | 0% | 77% |
If side x = 5cm, side y = 12cm, and side z = 6cm what is the perimeter of this triangle?
| 23cm | |
| 31cm | |
| 32cm | |
| 35cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 5cm + 12cm + 6cm = 23cm
If side a = 3, side b = 7, what is the length of the hypotenuse of this right triangle?
| 10 | |
| \( \sqrt{58} \) | |
| \( \sqrt{53} \) | |
| \( \sqrt{17} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 32 + 72
c2 = 9 + 49
c2 = 58
c = \( \sqrt{58} \)
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
2lw x 2wh + 2lh |
|
lw x wh + lh |
|
h2 x l2 x w2 |
|
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.
Which of the following expressions contains exactly two terms?
monomial |
|
quadratic |
|
polynomial |
|
binomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Simplify 2a x 5b.
| 10\( \frac{a}{b} \) | |
| 7ab | |
| 10ab | |
| 10a2b2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
2a x 5b = (2 x 5) (a x b) = 10ab