| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.82 |
| Score | 0% | 56% |
Solve for a:
-3a - 5 = -7 - 6a
| -1\(\frac{1}{6}\) | |
| -\(\frac{2}{3}\) | |
| 3\(\frac{1}{2}\) | |
| \(\frac{1}{3}\) |
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.
-3a - 5 = -7 - 6a
-3a = -7 - 6a + 5
-3a + 6a = -7 + 5
3a = -2
a = \( \frac{-2}{3} \)
a = -\(\frac{2}{3}\)
If angle a = 27° and angle b = 52° what is the length of angle d?
| 153° | |
| 156° | |
| 155° | |
| 124° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 27° - 52° = 101°
So, d° = 52° + 101° = 153°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 27° = 153°
The endpoints of this line segment are at (-2, -7) and (2, 1). What is the slope of this line?
| 2 | |
| 1 | |
| -2\(\frac{1}{2}\) | |
| -\(\frac{1}{2}\) |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -7) and (2, 1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-7.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)What is 7a5 + 7a5?
| 0 | |
| 14a5 | |
| a510 | |
| 49a5 |
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.
7a5 + 7a5 = 14a5
Solve for c:
c + 5 = \( \frac{c}{-4} \)
| -2\(\frac{2}{5}\) | |
| -9\(\frac{1}{7}\) | |
| -4 | |
| -\(\frac{8}{17}\) |
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.
c + 5 = \( \frac{c}{-4} \)
-4 x (c + 5) = c
(-4 x c) + (-4 x 5) = c
-4c - 20 = c
-4c - 20 - c = 0
-4c - c = 20
-5c = 20
c = \( \frac{20}{-5} \)
c = -4