| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
If a = c = 8, b = d = 6, what is the area of this rectangle?
| 4 | |
| 63 | |
| 48 | |
| 8 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 8 x 6
a = 48
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
|
right, acute, obtuse |
|
acute, obtuse, right |
|
right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
|
normalizing |
|
factoring |
|
deconstructing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Simplify (4a)(8ab) + (6a2)(6b).
| 68a2b | |
| 4ab2 | |
| 144a2b | |
| -4ab2 |
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.
(4a)(8ab) + (6a2)(6b)
(4 x 8)(a x a x b) + (6 x 6)(a2 x b)
(32)(a1+1 x b) + (36)(a2b)
32a2b + 36a2b
68a2b
If angle a = 45° and angle b = 29° what is the length of angle d?
| 127° | |
| 132° | |
| 135° | |
| 141° |
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° - 45° - 29° = 106°
So, d° = 29° + 106° = 135°
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° - 45° = 135°