| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
Factor y2 + 3y - 4
| (y - 1)(y - 4) | |
| (y + 1)(y - 4) | |
| (y - 1)(y + 4) | |
| (y + 1)(y + 4) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -4 as well and sum (Inside, Outside) to equal 3. For this problem, those two numbers are -1 and 4. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 3y - 4
y2 + (-1 + 4)y + (-1 x 4)
(y - 1)(y + 4)
What is 8a + 5a?
| 13a | |
| 40a2 | |
| 13 | |
| 13a2 |
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.
8a + 5a = 13a
What is the area of a circle with a radius of 3?
| 5π | |
| 16π | |
| 9π | |
| 4π |
The formula for area is πr2:
a = πr2
a = π(32)
a = 9π
On this circle, a line segment connecting point A to point D is called:
radius |
|
circumference |
|
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).
Solve for c:
-c + 6 < 8 - 9c
| c < \(\frac{1}{4}\) | |
| c < 1 | |
| c < -2 | |
| c < -4\(\frac{1}{2}\) |
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.
-c + 6 < 8 - 9c
-c < 8 - 9c - 6
-c + 9c < 8 - 6
8c < 2
c < \( \frac{2}{8} \)
c < \(\frac{1}{4}\)