| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.41 |
| Score | 0% | 68% |
If angle a = 22° and angle b = 65° what is the length of angle c?
| 87° | |
| 93° | |
| 116° | |
| 88° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 22° - 65° = 93°
Find the value of c:
-8c + y = 2
-5c - 3y = -8
| \(\frac{2}{29}\) | |
| -3\(\frac{2}{5}\) | |
| -2\(\frac{1}{2}\) | |
| -\(\frac{17}{26}\) |
You need to find the value of c so solve the first equation in terms of y:
-8c + y = 2
y = 2 + 8c
then substitute the result (2 - -8c) into the second equation:
-5c - 3(2 + 8c) = -8
-5c + (-3 x 2) + (-3 x 8c) = -8
-5c - 6 - 24c = -8
-5c - 24c = -8 + 6
-29c = -2
c = \( \frac{-2}{-29} \)
c = \(\frac{2}{29}\)
What is 7a4 - 8a4?
| -1a4 | |
| 15a8 | |
| -1 | |
| -a8 |
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.
7a4 - 8a4 = -1a4
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
|
deconstructing |
|
squaring |
|
factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
If BD = 10 and AD = 19, AB = ?
| 17 | |
| 4 | |
| 9 | |
| 13 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD