| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.84 |
| Score | 0% | 57% |
Solve 8c + 5c = -4c + 9y + 7 for c in terms of y.
| 4\(\frac{1}{2}\)y - 4 | |
| -2\(\frac{2}{3}\)y - 1\(\frac{2}{3}\) | |
| \(\frac{1}{3}\)y + \(\frac{7}{12}\) | |
| -\(\frac{4}{5}\)y + \(\frac{2}{5}\) |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
8c + 5y = -4c + 9y + 7
8c = -4c + 9y + 7 - 5y
8c + 4c = 9y + 7 - 5y
12c = 4y + 7
c = \( \frac{4y + 7}{12} \)
c = \( \frac{4y}{12} \) + \( \frac{7}{12} \)
c = \(\frac{1}{3}\)y + \(\frac{7}{12}\)
If BD = 15 and AD = 16, AB = ?
| 17 | |
| 1 | |
| 13 | |
| 2 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDThe formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
|
lw x wh + lh |
|
h x l x w |
|
2lw x 2wh + 2lh |
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.
Solve for z:
z2 - 11z + 43 = 3z - 5
| 9 or -8 | |
| -8 or -8 | |
| 6 or 8 | |
| 8 or 4 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
z2 - 11z + 43 = 3z - 5
z2 - 11z + 43 + 5 = 3z
z2 - 11z - 3z + 48 = 0
z2 - 14z + 48 = 0
Next, factor the quadratic equation:
z2 - 14z + 48 = 0
(z - 6)(z - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 6) or (z - 8) must equal zero:
If (z - 6) = 0, z must equal 6
If (z - 8) = 0, z must equal 8
So the solution is that z = 6 or 8
Solve for c:
c2 + 7c - 8 = 0
| 1 or -8 | |
| 1 or -2 | |
| -2 or -5 | |
| -9 or -9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 + 7c - 8 = 0
(c - 1)(c + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 1) or (c + 8) must equal zero:
If (c - 1) = 0, c must equal 1
If (c + 8) = 0, c must equal -8
So the solution is that c = 1 or -8