| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
The dimensions of this cube are height (h) = 8, length (l) = 6, and width (w) = 4. What is the volume?
| 63 | |
| 378 | |
| 192 | |
| 4 |
The volume of a cube is height x length x width:
v = h x l x w
v = 8 x 6 x 4
v = 192
Simplify (y + 7)(y + 2)
| y2 + 9y + 14 | |
| y2 - 5y - 14 | |
| y2 + 5y - 14 | |
| y2 - 9y + 14 |
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 + 7)(y + 2)
(y x y) + (y x 2) + (7 x y) + (7 x 2)
y2 + 2y + 7y + 14
y2 + 9y + 14
If angle a = 43° and angle b = 42° what is the length of angle d?
| 144° | |
| 137° | |
| 119° | |
| 133° |
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° - 43° - 42° = 95°
So, d° = 42° + 95° = 137°
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° - 43° = 137°
Solve for a:
-6a + 2 > 8 + 9a
| a > -\(\frac{2}{5}\) | |
| a > \(\frac{4}{7}\) | |
| a > \(\frac{3}{7}\) | |
| a > -\(\frac{1}{4}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
-6a + 2 > 8 + 9a
-6a > 8 + 9a - 2
-6a - 9a > 8 - 2
-15a > 6
a > \( \frac{6}{-15} \)
a > -\(\frac{2}{5}\)
A right angle measures:
45° |
|
360° |
|
90° |
|
180° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.