| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
Solve for b:
-8b - 9 < \( \frac{b}{-6} \)
| b < -1\(\frac{7}{47}\) | |
| b < \(\frac{6}{11}\) | |
| b < \(\frac{30}{49}\) | |
| b < -1\(\frac{7}{11}\) |
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.
-8b - 9 < \( \frac{b}{-6} \)
-6 x (-8b - 9) < b
(-6 x -8b) + (-6 x -9) < b
48b + 54 < b
48b + 54 - b < 0
48b - b < -54
47b < -54
b < \( \frac{-54}{47} \)
b < -1\(\frac{7}{47}\)
What is 8a6 - 8a6?
| 0a6 | |
| 12 | |
| 64a6 | |
| 16a12 |
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.
8a6 - 8a6 = 0a6
A quadrilateral is a shape with __________ sides.
4 |
|
3 |
|
5 |
|
2 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The endpoints of this line segment are at (-2, 3) and (2, -1). What is the slope-intercept equation for this line?
| y = -x - 4 | |
| y = 1\(\frac{1}{2}\)x + 0 | |
| y = -2x + 0 | |
| y = -x + 1 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 1. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 3) and (2, -1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)Plugging these values into the slope-intercept equation:
y = -x + 1
What is the circumference of a circle with a radius of 15?
| 30π | |
| 20π | |
| 10π | |
| 8π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 15)
c = 30π