| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.55 |
| Score | 0% | 71% |
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.
If angle a = 24° and angle b = 59° what is the length of angle d?
| 148° | |
| 134° | |
| 156° | |
| 159° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 24° - 59° = 97°
So, d° = 59° + 97° = 156°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 24° = 156°
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
|
acute, obtuse, right |
|
right, acute, obtuse |
|
right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
What is 5a9 - 5a9?
| 10a18 | |
| 0 | |
| a918 | |
| 0a9 |
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.
5a9 - 5a9 = 0a9
If side a = 8, side b = 7, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{53} \) | |
| \( \sqrt{85} \) | |
| \( \sqrt{113} \) | |
| \( \sqrt{37} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 82 + 72
c2 = 64 + 49
c2 = 113
c = \( \sqrt{113} \)