| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
What is 8a5 + 2a5?
| a510 | |
| 16a10 | |
| 10a5 | |
| 16a5 |
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.
8a5 + 2a5 = 10a5
Which of the following is not required to define the slope-intercept equation for a line?
\({\Delta y \over \Delta x}\) |
|
slope |
|
y-intercept |
|
x-intercept |
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.
The dimensions of this cylinder are height (h) = 2 and radius (r) = 2. What is the surface area?
| 108π | |
| 16π | |
| 36π | |
| 324π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(22) + 2π(2 x 2)
sa = 2π(4) + 2π(4)
sa = (2 x 4)π + (2 x 4)π
sa = 8π + 8π
sa = 16π
What is the circumference of a circle with a diameter of 15?
| 4π | |
| 9π | |
| 10π | |
| 15π |
The formula for circumference is circle diameter x π:
c = πd
c = 15π
Which of the following statements about a triangle is not true?
area = ½bh |
|
exterior angle = sum of two adjacent interior angles |
|
sum of interior angles = 180° |
|
perimeter = sum of side lengths |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.