| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.58 |
| Score | 0% | 72% |
Which of the following expressions contains exactly two terms?
polynomial |
|
monomial |
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quadratic |
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binomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
What is 4a - 2a?
| 8a | |
| 2a | |
| 2a2 | |
| 6a2 |
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.
4a - 2a = 2a
If the area of this square is 81, what is the length of one of the diagonals?
| 2\( \sqrt{2} \) | |
| 9\( \sqrt{2} \) | |
| \( \sqrt{2} \) | |
| 6\( \sqrt{2} \) |
To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:
a = s2
so the length of one side of the square is:
s = \( \sqrt{a} \) = \( \sqrt{81} \) = 9
The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:
c2 = a2 + b2
c2 = 92 + 92
c2 = 162
c = \( \sqrt{162} \) = \( \sqrt{81 x 2} \) = \( \sqrt{81} \) \( \sqrt{2} \)
c = 9\( \sqrt{2} \)
The endpoints of this line segment are at (-2, 2) and (2, 0). What is the slope of this line?
| -2\(\frac{1}{2}\) | |
| -\(\frac{1}{2}\) | |
| -1 | |
| -1\(\frac{1}{2}\) |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 2) and (2, 0) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (2.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)If side x = 10cm, side y = 13cm, and side z = 10cm what is the perimeter of this triangle?
| 33cm | |
| 22cm | |
| 30cm | |
| 35cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 10cm + 13cm + 10cm = 33cm