| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
|
factoring |
|
squaring |
|
normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
What is 6a - 5a?
| 1a | |
| a2 | |
| 11a2 | |
| 30a |
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.
6a - 5a = 1a
If a = 4, b = 1, c = 6, and d = 7, what is the perimeter of this quadrilateral?
| 19 | |
| 28 | |
| 18 | |
| 12 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 4 + 1 + 6 + 7
p = 18
If angle a = 34° and angle b = 58° what is the length of angle d?
| 149° | |
| 132° | |
| 146° | |
| 143° |
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° - 34° - 58° = 88°
So, d° = 58° + 88° = 146°
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° - 34° = 146°
Solve for z:
-6z + 9 = \( \frac{z}{3} \)
| 1\(\frac{1}{31}\) | |
| 1\(\frac{8}{19}\) | |
| -6\(\frac{6}{7}\) | |
| -\(\frac{5}{26}\) |
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.
-6z + 9 = \( \frac{z}{3} \)
3 x (-6z + 9) = z
(3 x -6z) + (3 x 9) = z
-18z + 27 = z
-18z + 27 - z = 0
-18z - z = -27
-19z = -27
z = \( \frac{-27}{-19} \)
z = 1\(\frac{8}{19}\)