| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
Simplify 8a x 6b.
| 48ab | |
| 48\( \frac{b}{a} \) | |
| 14ab | |
| 48a2b2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
8a x 6b = (8 x 6) (a x b) = 48ab
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
|
c2 + a2 |
|
a2 - c2 |
|
c2 - a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
If angle a = 55° and angle b = 36° what is the length of angle c?
| 115° | |
| 95° | |
| 89° | |
| 99° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 55° - 36° = 89°
A coordinate grid is composed of which of the following?
origin |
|
y-axis |
|
all of these |
|
x-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
Factor y2 + 17y + 72
| (y + 8)(y + 9) | |
| (y - 8)(y + 9) | |
| (y + 8)(y - 9) | |
| (y - 8)(y - 9) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 72 as well and sum (Inside, Outside) to equal 17. For this problem, those two numbers are 8 and 9. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 17y + 72
y2 + (8 + 9)y + (8 x 9)
(y + 8)(y + 9)