| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
What is 7a + 3a?
| 10a2 | |
| 4 | |
| 21a2 | |
| 10a |
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.
7a + 3a = 10a
If side a = 2, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{98} \) | |
| \( \sqrt{41} \) | |
| \( \sqrt{113} \) | |
| \( \sqrt{68} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 22 + 82
c2 = 4 + 64
c2 = 68
c = \( \sqrt{68} \)
If a = c = 1, b = d = 7, what is the area of this rectangle?
| 24 | |
| 7 | |
| 8 | |
| 6 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 1 x 7
a = 7
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
π r2h2 |
|
π r2h |
|
4π r2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
What is the area of a circle with a radius of 5?
| 2π | |
| 36π | |
| 9π | |
| 25π |
The formula for area is πr2:
a = πr2
a = π(52)
a = 25π