| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.89 |
| Score | 0% | 58% |
What is 5a3 - 3a3?
| 2a3 | |
| 8 | |
| 2 | |
| 15a6 |
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.
5a3 - 3a3 = 2a3
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 |
|
lw x wh + lh |
|
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 types of triangles will always have at least two sides of equal length?
equilateral and right |
|
equilateral, isosceles and right |
|
isosceles and right |
|
equilateral and isosceles |
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.
On this circle, line segment CD is the:
chord |
|
circumference |
|
diameter |
|
radius |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Solve for z:
-2z - 7 = \( \frac{z}{-2} \)
| 2\(\frac{1}{4}\) | |
| \(\frac{36}{37}\) | |
| \(\frac{10}{13}\) | |
| -4\(\frac{2}{3}\) |
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.
-2z - 7 = \( \frac{z}{-2} \)
-2 x (-2z - 7) = z
(-2 x -2z) + (-2 x -7) = z
4z + 14 = z
4z + 14 - z = 0
4z - z = -14
3z = -14
z = \( \frac{-14}{3} \)
z = -4\(\frac{2}{3}\)