| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.53 |
| Score | 0% | 71% |
If a = 4, b = 3, c = 5, and d = 4, what is the perimeter of this quadrilateral?
| 19 | |
| 16 | |
| 17 | |
| 20 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 4 + 3 + 5 + 4
p = 16
If a = c = 4, b = d = 5, and the blue angle = 65°, what is the area of this parallelogram?
| 20 | |
| 45 | |
| 8 | |
| 18 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 4 x 5
a = 20
A right angle measures:
360° |
|
90° |
|
45° |
|
180° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Solve a + a = -9a + 3z - 1 for a in terms of z.
| 1\(\frac{3}{4}\)z - 2\(\frac{1}{4}\) | |
| \(\frac{1}{5}\)z - \(\frac{1}{10}\) | |
| z + 1\(\frac{1}{2}\) | |
| \(\frac{2}{11}\)z + \(\frac{6}{11}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
a + z = -9a + 3z - 1
a = -9a + 3z - 1 - z
a + 9a = 3z - 1 - z
10a = 2z - 1
a = \( \frac{2z - 1}{10} \)
a = \( \frac{2z}{10} \) + \( \frac{-1}{10} \)
a = \(\frac{1}{5}\)z - \(\frac{1}{10}\)
What is 8a2 + 3a2?
| 5 | |
| 24a2 | |
| 11a2 | |
| 11 |
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.
8a2 + 3a2 = 11a2