| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
Solve for y:
y2 - 5y - 36 = 0
| 4 or -4 | |
| 6 or -9 | |
| 5 or -8 | |
| -4 or 9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 - 5y - 36 = 0
(y + 4)(y - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 4) or (y - 9) must equal zero:
If (y + 4) = 0, y must equal -4
If (y - 9) = 0, y must equal 9
So the solution is that y = -4 or 9
If b = -8 and y = 2, what is the value of 8b(b - y)?
| 1224 | |
| 640 | |
| -624 | |
| -9 |
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 - y)
8(-8)(-8 - 2)
8(-8)(-10)
(-64)(-10)
640
The dimensions of this cube are height (h) = 2, length (l) = 9, and width (w) = 4. What is the surface area?
| 124 | |
| 152 | |
| 280 | |
| 78 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 9 x 4) + (2 x 4 x 2) + (2 x 9 x 2)
sa = (72) + (16) + (36)
sa = 124
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
|
parallel |
|
equal angle |
|
right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
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 |
|
h x l x w |
|
h2 x l2 x w2 |
|
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.