| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
Simplify (y + 2)(y + 8)
| y2 + 10y + 16 | |
| y2 - 10y + 16 | |
| y2 + 6y - 16 | |
| y2 - 6y - 16 |
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 + 2)(y + 8)
(y x y) + (y x 8) + (2 x y) + (2 x 8)
y2 + 8y + 2y + 16
y2 + 10y + 16
Find the value of b:
8b + z = -2
-3b + 6z = 9
| -\(\frac{7}{17}\) | |
| 1 | |
| -2 | |
| -\(\frac{5}{27}\) |
You need to find the value of b so solve the first equation in terms of z:
8b + z = -2
z = -2 - 8b
then substitute the result (-2 - 8b) into the second equation:
-3b + 6(-2 - 8b) = 9
-3b + (6 x -2) + (6 x -8b) = 9
-3b - 12 - 48b = 9
-3b - 48b = 9 + 12
-51b = 21
b = \( \frac{21}{-51} \)
b = -\(\frac{7}{17}\)
The dimensions of this cube are height (h) = 8, length (l) = 7, and width (w) = 2. What is the surface area?
| 122 | |
| 142 | |
| 92 | |
| 172 |
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 8) + (2 x 7 x 8)
sa = (28) + (32) + (112)
sa = 172
The dimensions of this cube are height (h) = 2, length (l) = 4, and width (w) = 9. What is the volume?
| 72 | |
| 144 | |
| 36 | |
| 24 |
The volume of a cube is height x length x width:
v = h x l x w
v = 2 x 4 x 9
v = 72
What is 8a + 4a?
| 32a2 | |
| 12a | |
| 32a | |
| a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
8a + 4a = 12a