| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
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 |
|
lw x wh + lh |
|
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.
Solve for a:
-6a - 4 = 8 + 6a
| \(\frac{1}{3}\) | |
| 1\(\frac{1}{3}\) | |
| -2\(\frac{1}{3}\) | |
| -1 |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-6a - 4 = 8 + 6a
-6a = 8 + 6a + 4
-6a - 6a = 8 + 4
-12a = 12
a = \( \frac{12}{-12} \)
a = -1
If a = 9, b = 4, c = 8, and d = 8, what is the perimeter of this quadrilateral?
| 29 | |
| 14 | |
| 16 | |
| 19 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 9 + 4 + 8 + 8
p = 29
Which of the following is not required to define the slope-intercept equation for a line?
y-intercept |
|
\({\Delta y \over \Delta x}\) |
|
slope |
|
x-intercept |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
addition |
|
pairs |
|
exponents |
|
division |
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.)