| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
Solve for y:
y2 + 10y + 9 = 0
| 3 or -7 | |
| 7 or -9 | |
| 6 or -5 | |
| -1 or -9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 + 10y + 9 = 0
(y + 1)(y + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 1) or (y + 9) must equal zero:
If (y + 1) = 0, y must equal -1
If (y + 9) = 0, y must equal -9
So the solution is that y = -1 or -9
What is 3a8 - 4a8?
| -1a8 | |
| a816 | |
| -a16 | |
| 12a8 |
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.
3a8 - 4a8 = -1a8
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
h2 x l2 x w2 |
|
h x l x w |
|
2lw x 2wh + 2lh |
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.
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
|
addition |
|
exponents |
|
pairs |
When solving an equation with two variables, 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.)
The dimensions of this trapezoid are a = 6, b = 3, c = 7, d = 3, and h = 4. What is the area?
| 5 | |
| 16\(\frac{1}{2}\) | |
| 12 | |
| 13\(\frac{1}{2}\) |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(3 + 3)(4)
a = ½(6)(4)
a = ½(24) = \( \frac{24}{2} \)
a = 12