| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
Solve -c + 4c = -9c + 2z + 9 for c in terms of z.
| \(\frac{2}{9}\)z - \(\frac{4}{9}\) | |
| -\(\frac{1}{4}\)z + 1\(\frac{1}{8}\) | |
| -3z + 3 | |
| -3z + 1\(\frac{1}{4}\) |
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.
-c + 4z = -9c + 2z + 9
-c = -9c + 2z + 9 - 4z
-c + 9c = 2z + 9 - 4z
8c = -2z + 9
c = \( \frac{-2z + 9}{8} \)
c = \( \frac{-2z}{8} \) + \( \frac{9}{8} \)
c = -\(\frac{1}{4}\)z + 1\(\frac{1}{8}\)
If a = 1, b = 1, c = 8, and d = 9, what is the perimeter of this quadrilateral?
| 16 | |
| 24 | |
| 19 | |
| 18 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 1 + 1 + 8 + 9
p = 19
What is 8a6 + 7a6?
| a12 | |
| 56a12 | |
| 15a6 | |
| 15a12 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
8a6 + 7a6 = 15a6
If a = c = 8, b = d = 1, and the blue angle = 62°, what is the area of this parallelogram?
| 8 | |
| 4 | |
| 18 | |
| 36 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 8 x 1
a = 8
If side a = 9, side b = 6, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{41} \) | |
| \( \sqrt{82} \) | |
| \( \sqrt{117} \) | |
| \( \sqrt{34} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 62
c2 = 81 + 36
c2 = 117
c = \( \sqrt{117} \)