| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
If a = 8, b = 3, c = 4, and d = 3, what is the perimeter of this quadrilateral?
| 14 | |
| 22 | |
| 18 | |
| 25 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 8 + 3 + 4 + 3
p = 18
Solve -4b + 8b = -7b - 7x + 1 for b in terms of x.
| 4x - 2 | |
| -5x + \(\frac{1}{3}\) | |
| x + \(\frac{3}{7}\) | |
| \(\frac{1}{3}\)x + \(\frac{1}{2}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
-4b + 8x = -7b - 7x + 1
-4b = -7b - 7x + 1 - 8x
-4b + 7b = -7x + 1 - 8x
3b = -15x + 1
b = \( \frac{-15x + 1}{3} \)
b = \( \frac{-15x}{3} \) + \( \frac{1}{3} \)
b = -5x + \(\frac{1}{3}\)
Simplify (8a)(6ab) + (7a2)(8b).
| 210a2b | |
| 104a2b | |
| 8a2b | |
| 8ab2 |
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.
(8a)(6ab) + (7a2)(8b)
(8 x 6)(a x a x b) + (7 x 8)(a2 x b)
(48)(a1+1 x b) + (56)(a2b)
48a2b + 56a2b
104a2b
If a = c = 9, b = d = 3, and the blue angle = 50°, what is the area of this parallelogram?
| 27 | |
| 30 | |
| 7 | |
| 48 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 9 x 3
a = 27
A coordinate grid is composed of which of the following?
y-axis |
|
all of these |
|
origin |
|
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.