| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Odd |
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Inside |
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Last |
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First |
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.
If a = c = 9, b = d = 1, what is the area of this rectangle?
| 9 | |
| 48 | |
| 8 | |
| 28 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 9 x 1
a = 9
Factor y2 - 2y - 63
| (y + 9)(y + 7) | |
| (y - 9)(y - 7) | |
| (y + 9)(y - 7) | |
| (y - 9)(y + 7) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -63 as well and sum (Inside, Outside) to equal -2. For this problem, those two numbers are -9 and 7. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 2y - 63
y2 + (-9 + 7)y + (-9 x 7)
(y - 9)(y + 7)
The dimensions of this cube are height (h) = 9, length (l) = 6, and width (w) = 2. What is the surface area?
| 168 | |
| 142 | |
| 254 | |
| 288 |
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 6 x 2) + (2 x 2 x 9) + (2 x 6 x 9)
sa = (24) + (36) + (108)
sa = 168
If angle a = 42° and angle b = 21° what is the length of angle d?
| 154° | |
| 133° | |
| 138° | |
| 134° |
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° - 42° - 21° = 117°
So, d° = 21° + 117° = 138°
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° - 42° = 138°