| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
A(n) __________ is two expressions separated by an equal sign.
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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 x:
-4x - 5 = \( \frac{x}{-2} \)
| -3\(\frac{7}{11}\) | |
| -4\(\frac{4}{5}\) | |
| -\(\frac{12}{23}\) | |
| -1\(\frac{3}{7}\) |
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.
-4x - 5 = \( \frac{x}{-2} \)
-2 x (-4x - 5) = x
(-2 x -4x) + (-2 x -5) = x
8x + 10 = x
8x + 10 - x = 0
8x - x = -10
7x = -10
x = \( \frac{-10}{7} \)
x = -1\(\frac{3}{7}\)
The dimensions of this cube are height (h) = 7, length (l) = 9, and width (w) = 3. What is the volume?
| 189 | |
| 8 | |
| 486 | |
| 140 |
The volume of a cube is height x length x width:
v = h x l x w
v = 7 x 9 x 3
v = 189
If AD = 11 and BD = 6, AB = ?
| 6 | |
| 2 | |
| 17 | |
| 5 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDSolve for x:
2x + 6 = 1 + x
| \(\frac{1}{6}\) | |
| -\(\frac{1}{3}\) | |
| -1 | |
| -5 |
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.
2x + 6 = 1 + x
2x = 1 + x - 6
2x - x = 1 - 6
x = -5