| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
Factor y2 - 6y + 5
| (y - 5)(y + 1) | |
| (y + 5)(y + 1) | |
| (y + 5)(y - 1) | |
| (y - 5)(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 5 as well and sum (Inside, Outside) to equal -6. For this problem, those two numbers are -5 and -1. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 6y + 5
y2 + (-5 - 1)y + (-5 x -1)
(y - 5)(y - 1)
A coordinate grid is composed of which of the following?
x-axis |
|
y-axis |
|
all of these |
|
origin |
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 = 22° and angle b = 64° what is the length of angle c?
| 94° | |
| 90° | |
| 110° | |
| 103° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 22° - 64° = 94°
If b = 7 and x = 5, what is the value of 8b(b - x)?
| 56 | |
| 224 | |
| 112 | |
| 90 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
8b(b - x)
8(7)(7 - 5)
8(7)(2)
(56)(2)
112
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
|
h x l x w |
|
2lw x 2wh + 2lh |
|
lw x wh + lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.