| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
Solve for a:
9a - 9 > \( \frac{a}{6} \)
| a > -\(\frac{4}{7}\) | |
| a > 3\(\frac{1}{9}\) | |
| a > -\(\frac{35}{41}\) | |
| a > 1\(\frac{1}{53}\) |
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.
9a - 9 > \( \frac{a}{6} \)
6 x (9a - 9) > a
(6 x 9a) + (6 x -9) > a
54a - 54 > a
54a - 54 - a > 0
54a - a > 54
53a > 54
a > \( \frac{54}{53} \)
a > 1\(\frac{1}{53}\)
What is 5a - 8a?
| 13 | |
| a2 | |
| -3a2 | |
| -3a |
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.
5a - 8a = -3a
What is the area of a circle with a radius of 3?
| 5π | |
| 7π | |
| 9π | |
| 25π |
The formula for area is πr2:
a = πr2
a = π(32)
a = 9π
Which of the following is not required to define the slope-intercept equation for a line?
x-intercept |
|
y-intercept |
|
slope |
|
\({\Delta y \over \Delta x}\) |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
What is the circumference of a circle with a diameter of 16?
| 16π | |
| 30π | |
| 8π | |
| 14π |
The formula for circumference is circle diameter x π:
c = πd
c = 16π