| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
|
midpoints |
|
intersects |
|
bisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
The dimensions of this cylinder are height (h) = 4 and radius (r) = 1. What is the surface area?
| 72π | |
| 20π | |
| 10π | |
| 48π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 4)
sa = 2π(1) + 2π(4)
sa = (2 x 1)π + (2 x 4)π
sa = 2π + 8π
sa = 10π
If side x = 6cm, side y = 8cm, and side z = 8cm what is the perimeter of this triangle?
| 28cm | |
| 35cm | |
| 22cm | |
| 18cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 6cm + 8cm + 8cm = 22cm
Solve for x:
-2x + 5 = \( \frac{x}{6} \)
| -2\(\frac{1}{4}\) | |
| -1\(\frac{5}{13}\) | |
| 3\(\frac{3}{13}\) | |
| 2\(\frac{4}{13}\) |
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.
-2x + 5 = \( \frac{x}{6} \)
6 x (-2x + 5) = x
(6 x -2x) + (6 x 5) = x
-12x + 30 = x
-12x + 30 - x = 0
-12x - x = -30
-13x = -30
x = \( \frac{-30}{-13} \)
x = 2\(\frac{4}{13}\)
If b = 3 and z = -4, what is the value of -7b(b - z)?
| 192 | |
| -42 | |
| 0 | |
| -147 |
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.)
-7b(b - z)
-7(3)(3 + 4)
-7(3)(7)
(-21)(7)
-147