| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.41 |
| Score | 0% | 68% |
The dimensions of this cube are height (h) = 1, length (l) = 6, and width (w) = 9. What is the volume?
| 54 | |
| 315 | |
| 210 | |
| 16 |
The volume of a cube is height x length x width:
v = h x l x w
v = 1 x 6 x 9
v = 54
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
|
deconstructing |
|
factoring |
|
normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
If angle a = 21° and angle b = 46° what is the length of angle d?
| 115° | |
| 127° | |
| 159° | |
| 150° |
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° - 21° - 46° = 113°
So, d° = 46° + 113° = 159°
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° - 21° = 159°
Simplify (y + 5)(y - 8)
| y2 - 3y - 40 | |
| y2 + 3y - 40 | |
| y2 + 13y + 40 | |
| y2 - 13y + 40 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 5)(y - 8)
(y x y) + (y x -8) + (5 x y) + (5 x -8)
y2 - 8y + 5y - 40
y2 - 3y - 40
Simplify (3a)(8ab) + (6a2)(2b).
| 36a2b | |
| 36ab2 | |
| -12a2b | |
| -12ab2 |
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.
(3a)(8ab) + (6a2)(2b)
(3 x 8)(a x a x b) + (6 x 2)(a2 x b)
(24)(a1+1 x b) + (12)(a2b)
24a2b + 12a2b
36a2b