| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
Solve for z:
-8z - 6 = \( \frac{z}{-1} \)
| \(\frac{4}{9}\) | |
| -\(\frac{6}{7}\) | |
| -2\(\frac{7}{9}\) | |
| 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 equal sign and the answer on the other.
-8z - 6 = \( \frac{z}{-1} \)
-1 x (-8z - 6) = z
(-1 x -8z) + (-1 x -6) = z
8z + 6 = z
8z + 6 - z = 0
8z - z = -6
7z = -6
z = \( \frac{-6}{7} \)
z = -\(\frac{6}{7}\)
A(n) __________ is two expressions separated by an equal sign.
formula |
|
problem |
|
equation |
|
expression |
An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
Solve for b:
-6b + 8 < \( \frac{b}{2} \)
| b < \(\frac{3}{8}\) | |
| b < -7\(\frac{1}{2}\) | |
| b < -1\(\frac{1}{80}\) | |
| b < 1\(\frac{3}{13}\) |
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.
-6b + 8 < \( \frac{b}{2} \)
2 x (-6b + 8) < b
(2 x -6b) + (2 x 8) < b
-12b + 16 < b
-12b + 16 - b < 0
-12b - b < -16
-13b < -16
b < \( \frac{-16}{-13} \)
b < 1\(\frac{3}{13}\)
If a = 7, b = 9, c = 9, and d = 9, what is the perimeter of this quadrilateral?
| 34 | |
| 22 | |
| 20 | |
| 18 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 7 + 9 + 9 + 9
p = 34
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
|
2lw x 2wh + 2lh |
|
lw x wh + lh |
|
h2 x l2 x w2 |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.