| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
Solve for y:
-4y + 4 > 3 + 7y
| y > 1\(\frac{2}{7}\) | |
| y > \(\frac{2}{3}\) | |
| y > \(\frac{1}{11}\) | |
| y > \(\frac{1}{3}\) |
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 > sign and the answer on the other.
-4y + 4 > 3 + 7y
-4y > 3 + 7y - 4
-4y - 7y > 3 - 4
-11y > -1
y > \( \frac{-1}{-11} \)
y > \(\frac{1}{11}\)
What is the area of a circle with a diameter of 10?
| 3π | |
| 25π | |
| 9π | |
| 16π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π
If AD = 24 and BD = 21, AB = ?
| 1 | |
| 10 | |
| 3 | |
| 14 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDBreaking apart a quadratic expression into a pair of binomials is called:
factoring |
|
squaring |
|
normalizing |
|
deconstructing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
On this circle, a line segment connecting point A to point D is called:
circumference |
|
radius |
|
chord |
|
diameter |
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).