| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
What is the area of a circle with a radius of 3?
| 6π | |
| 9π | |
| 8π | |
| 49π |
The formula for area is πr2:
a = πr2
a = π(32)
a = 9π
Simplify 5a x 9b.
| 14ab | |
| 45ab | |
| 45a2b2 | |
| 45\( \frac{b}{a} \) |
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 x 9b = (5 x 9) (a x b) = 45ab
Solve for c:
6c - 2 < \( \frac{c}{8} \)
| c < \(\frac{16}{47}\) | |
| c < 2\(\frac{1}{4}\) | |
| c < -\(\frac{27}{53}\) | |
| c < \(\frac{6}{7}\) |
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 < sign and the answer on the other.
6c - 2 < \( \frac{c}{8} \)
8 x (6c - 2) < c
(8 x 6c) + (8 x -2) < c
48c - 16 < c
48c - 16 - c < 0
48c - c < 16
47c < 16
c < \( \frac{16}{47} \)
c < \(\frac{16}{47}\)
The dimensions of this cube are height (h) = 5, length (l) = 6, and width (w) = 5. What is the volume?
| 270 | |
| 150 | |
| 180 | |
| 147 |
The volume of a cube is height x length x width:
v = h x l x w
v = 5 x 6 x 5
v = 150
Solve for x:
-7x - 7 = 2 - 2x
| 1 | |
| -1\(\frac{1}{2}\) | |
| -\(\frac{1}{6}\) | |
| -1\(\frac{4}{5}\) |
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.
-7x - 7 = 2 - 2x
-7x = 2 - 2x + 7
-7x + 2x = 2 + 7
-5x = 9
x = \( \frac{9}{-5} \)
x = -1\(\frac{4}{5}\)