| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
Simplify (y + 9)(y + 6)
| y2 - 15y + 54 | |
| y2 - 3y - 54 | |
| y2 + 3y - 54 | |
| y2 + 15y + 54 |
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 + 9)(y + 6)
(y x y) + (y x 6) + (9 x y) + (9 x 6)
y2 + 6y + 9y + 54
y2 + 15y + 54
If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
|
midpoints |
|
intersects |
|
trisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
If a = 2, b = 6, c = 6, and d = 7, what is the perimeter of this quadrilateral?
| 21 | |
| 22 | |
| 11 | |
| 16 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 2 + 6 + 6 + 7
p = 21
Solve for a:
-5a - 6 < 7 - 9a
| a < 4\(\frac{1}{2}\) | |
| a < 3\(\frac{1}{4}\) | |
| a < \(\frac{4}{7}\) | |
| a < -\(\frac{3}{5}\) |
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.
-5a - 6 < 7 - 9a
-5a < 7 - 9a + 6
-5a + 9a < 7 + 6
4a < 13
a < \( \frac{13}{4} \)
a < 3\(\frac{1}{4}\)
The dimensions of this cube are height (h) = 7, length (l) = 7, and width (w) = 2. What is the surface area?
| 120 | |
| 100 | |
| 154 | |
| 22 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 7 x 2) + (2 x 2 x 7) + (2 x 7 x 7)
sa = (28) + (28) + (98)
sa = 154