| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
Factor y2 - y - 72
| (y - 9)(y - 8) | |
| (y + 9)(y - 8) | |
| (y + 9)(y + 8) | |
| (y - 9)(y + 8) |
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 -1. For this problem, those two numbers are -9 and 8. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - y - 72
y2 + (-9 + 8)y + (-9 x 8)
(y - 9)(y + 8)
What is 7a + 2a?
| 14a2 | |
| 9 | |
| 5a2 | |
| 9a |
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.
7a + 2a = 9a
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
|
equilateral and right |
|
equilateral and isosceles |
|
equilateral, isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
2lw x 2wh + 2lh |
|
lw x wh + lh |
|
h x l x w |
|
h2 x l2 x w2 |
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.
Find the value of a:
-a + y = -2
-5a + 2y = -3
| -\(\frac{1}{3}\) | |
| -3\(\frac{7}{19}\) | |
| -14 | |
| -\(\frac{8}{33}\) |
You need to find the value of a so solve the first equation in terms of y:
-a + y = -2
y = -2 + a
then substitute the result (-2 - -1a) into the second equation:
-5a + 2(-2 + a) = -3
-5a + (2 x -2) + (2 x a) = -3
-5a - 4 + 2a = -3
-5a + 2a = -3 + 4
-3a = 1
a = \( \frac{1}{-3} \)
a = -\(\frac{1}{3}\)