| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
Factor y2 - 3y - 4
| (y + 4)(y - 1) | |
| (y - 4)(y - 1) | |
| (y + 4)(y + 1) | |
| (y - 4)(y + 1) |
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 -4 as well and sum (Inside, Outside) to equal -3. For this problem, those two numbers are -4 and 1. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 3y - 4
y2 + (-4 + 1)y + (-4 x 1)
(y - 4)(y + 1)
If side a = 4, side b = 3, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{61} \) | |
| 5 | |
| \( \sqrt{90} \) | |
| \( \sqrt{128} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 32
c2 = 16 + 9
c2 = 25
c = \( \sqrt{25} \)
c = 5
Simplify (7a)(2ab) + (8a2)(7b).
| 42a2b | |
| 135ab2 | |
| 135a2b | |
| 70a2b |
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.
(7a)(2ab) + (8a2)(7b)
(7 x 2)(a x a x b) + (8 x 7)(a2 x b)
(14)(a1+1 x b) + (56)(a2b)
14a2b + 56a2b
70a2b
A coordinate grid is composed of which of the following?
origin |
|
all of these |
|
y-axis |
|
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.
If angle a = 35° and angle b = 63° what is the length of angle c?
| 100° | |
| 82° | |
| 53° | |
| 107° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 35° - 63° = 82°