| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
What is the area of a circle with a diameter of 8?
| 16π | |
| 4π | |
| 7π | |
| 36π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr2
a = π(42)
a = 16π
Simplify 6a x 6b.
| 36\( \frac{b}{a} \) | |
| 36\( \frac{a}{b} \) | |
| 36ab | |
| 36a2b2 |
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.
6a x 6b = (6 x 6) (a x b) = 36ab
A(n) __________ is two expressions separated by an equal sign.
equation |
|
problem |
|
formula |
|
expression |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.
What is the circumference of a circle with a diameter of 11?
| 14π | |
| 11π | |
| 26π | |
| 19π |
The formula for circumference is circle diameter x π:
c = πd
c = 11π
Solve for a:
6a + 3 = \( \frac{a}{-5} \)
| 1\(\frac{2}{13}\) | |
| 2 | |
| -1\(\frac{1}{8}\) | |
| -\(\frac{15}{31}\) |
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.
6a + 3 = \( \frac{a}{-5} \)
-5 x (6a + 3) = a
(-5 x 6a) + (-5 x 3) = a
-30a - 15 = a
-30a - 15 - a = 0
-30a - a = 15
-31a = 15
a = \( \frac{15}{-31} \)
a = -\(\frac{15}{31}\)