| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
A coordinate grid is composed of which of the following?
origin |
|
y-axis |
|
all of these |
|
x-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
The dimensions of this cylinder are height (h) = 2 and radius (r) = 1. What is the surface area?
| 44π | |
| 88π | |
| 6π | |
| 126π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 2)
sa = 2π(1) + 2π(2)
sa = (2 x 1)π + (2 x 2)π
sa = 2π + 4π
sa = 6π
Simplify (4a)(3ab) + (8a2)(8b).
| 76a2b | |
| 112ab2 | |
| 112a2b | |
| -52a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(4a)(3ab) + (8a2)(8b)
(4 x 3)(a x a x b) + (8 x 8)(a2 x b)
(12)(a1+1 x b) + (64)(a2b)
12a2b + 64a2b
76a2b
Find the value of b:
-4b + z = -1
-9b + z = 2
| -\(\frac{4}{7}\) | |
| -2 | |
| -\(\frac{3}{5}\) | |
| \(\frac{3}{4}\) |
You need to find the value of b so solve the first equation in terms of z:
-4b + z = -1
z = -1 + 4b
then substitute the result (-1 - -4b) into the second equation:
-9b + 1(-1 + 4b) = 2
-9b + (1 x -1) + (1 x 4b) = 2
-9b - 1 + 4b = 2
-9b + 4b = 2 + 1
-5b = 3
b = \( \frac{3}{-5} \)
b = -\(\frac{3}{5}\)
If a = 3, b = 3, c = 6, and d = 3, what is the perimeter of this quadrilateral?
| 31 | |
| 15 | |
| 20 | |
| 26 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 3 + 3 + 6 + 3
p = 15