| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
Factor y2 + 4y - 21
| (y + 3)(y - 7) | |
| (y - 3)(y + 7) | |
| (y - 3)(y - 7) | |
| (y + 3)(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 -21 as well and sum (Inside, Outside) to equal 4. For this problem, those two numbers are -3 and 7. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 4y - 21
y2 + (-3 + 7)y + (-3 x 7)
(y - 3)(y + 7)
If a = c = 9, b = d = 7, what is the area of this rectangle?
| 54 | |
| 16 | |
| 27 | |
| 63 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 9 x 7
a = 63
If angle a = 61° and angle b = 27° what is the length of angle c?
| 120° | |
| 92° | |
| 61° | |
| 51° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 61° - 27° = 92°
Solve for a:
5a - 6 < 7 - 7a
| a < -1\(\frac{1}{6}\) | |
| a < -2\(\frac{2}{3}\) | |
| a < 1\(\frac{1}{12}\) | |
| a < \(\frac{1}{2}\) |
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 - 7a
5a < 7 - 7a + 6
5a + 7a < 7 + 6
12a < 13
a < \( \frac{13}{12} \)
a < 1\(\frac{1}{12}\)
Simplify (y - 8)(y + 1)
| y2 - 9y + 8 | |
| y2 + 7y - 8 | |
| y2 - 7y - 8 | |
| y2 + 9y + 8 |
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 - 8)(y + 1)
(y x y) + (y x 1) + (-8 x y) + (-8 x 1)
y2 + y - 8y - 8
y2 - 7y - 8