| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.85 |
| Score | 0% | 57% |
Simplify (y + 7)(y - 3)
| y2 + 10y + 21 | |
| y2 - 4y - 21 | |
| y2 - 10y + 21 | |
| y2 + 4y - 21 |
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 - 3)
(y x y) + (y x -3) + (7 x y) + (7 x -3)
y2 - 3y + 7y - 21
y2 + 4y - 21
The dimensions of this trapezoid are a = 6, b = 9, c = 9, d = 8, and h = 4. What is the area?
| 24 | |
| 20 | |
| 34 | |
| 9 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(9 + 8)(4)
a = ½(17)(4)
a = ½(68) = \( \frac{68}{2} \)
a = 34
If a = c = 5, b = d = 3, what is the area of this rectangle?
| 16 | |
| 9 | |
| 15 | |
| 21 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 5 x 3
a = 15
The dimensions of this cylinder are height (h) = 7 and radius (r) = 9. What is the surface area?
| 112π | |
| 24π | |
| 30π | |
| 288π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 7)
sa = 2π(81) + 2π(63)
sa = (2 x 81)π + (2 x 63)π
sa = 162π + 126π
sa = 288π
Find the value of b:
7b + z = -5
7b - 2z = -4
| -\(\frac{2}{3}\) | |
| \(\frac{1}{16}\) | |
| 24 | |
| -\(\frac{9}{14}\) |
You need to find the value of b so solve the first equation in terms of z:
7b + z = -5
z = -5 - 7b
then substitute the result (-5 - 7b) into the second equation:
7b - 2(-5 - 7b) = -4
7b + (-2 x -5) + (-2 x -7b) = -4
7b + 10 + 14b = -4
7b + 14b = -4 - 10
21b = -14
b = \( \frac{-14}{21} \)
b = -\(\frac{2}{3}\)