| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.74 |
| Score | 0% | 55% |
Simplify (5a)(5ab) + (5a2)(2b).
| -15ab2 | |
| 15a2b | |
| 15ab2 | |
| 35a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(5a)(5ab) + (5a2)(2b)
(5 x 5)(a x a x b) + (5 x 2)(a2 x b)
(25)(a1+1 x b) + (10)(a2b)
25a2b + 10a2b
35a2b
The formula for the area of a circle is which of the following?
c = π r2 |
|
c = π r |
|
c = π d |
|
c = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
If side a = 8, side b = 2, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{68} \) | |
| \( \sqrt{130} \) | |
| \( \sqrt{89} \) | |
| \( \sqrt{82} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 82 + 22
c2 = 64 + 4
c2 = 68
c = \( \sqrt{68} \)
The dimensions of this cylinder are height (h) = 2 and radius (r) = 2. What is the volume?
| 48π | |
| 324π | |
| 448π | |
| 8π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(22 x 2)
v = 8π
Solve for c:
7c + 4 = 5 + 8c
| -1\(\frac{1}{2}\) | |
| -1\(\frac{1}{4}\) | |
| -1 | |
| \(\frac{3}{7}\) |
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 equal sign and the answer on the other.
7c + 4 = 5 + 8c
7c = 5 + 8c - 4
7c - 8c = 5 - 4
-c = 1
c = \( \frac{1}{-1} \)
c = -1