| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
What is the circumference of a circle with a diameter of 13?
| 12π | |
| 16π | |
| 13π | |
| 9π |
The formula for circumference is circle diameter x π:
c = πd
c = 13π
Which of the following is not required to define the slope-intercept equation for a line?
x-intercept |
|
\({\Delta y \over \Delta x}\) |
|
y-intercept |
|
slope |
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.
If angle a = 39° and angle b = 42° what is the length of angle d?
| 130° | |
| 140° | |
| 159° | |
| 141° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 39° - 42° = 99°
So, d° = 42° + 99° = 141°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 39° = 141°
Which of the following expressions contains exactly two terms?
polynomial |
|
binomial |
|
quadratic |
|
monomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Solve for c:
c2 + 10c + 16 = 0
| 6 or -9 | |
| 3 or -1 | |
| -2 or -8 | |
| -1 or -8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 + 10c + 16 = 0
(c + 2)(c + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 2) or (c + 8) must equal zero:
If (c + 2) = 0, c must equal -2
If (c + 8) = 0, c must equal -8
So the solution is that c = -2 or -8