| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
Solve for a:
-8a + 4 = -1 + 8a
| -2 | |
| \(\frac{2}{3}\) | |
| \(\frac{5}{16}\) | |
| -1 |
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.
-8a + 4 = -1 + 8a
-8a = -1 + 8a - 4
-8a - 8a = -1 - 4
-16a = -5
a = \( \frac{-5}{-16} \)
a = \(\frac{5}{16}\)
What is 7a8 - 3a8?
| 4a8 | |
| 21a16 | |
| 4 | |
| 4a16 |
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.
7a8 - 3a8 = 4a8
Solve for c:
7c - 3 = \( \frac{c}{-1} \)
| -1\(\frac{1}{31}\) | |
| \(\frac{1}{2}\) | |
| \(\frac{45}{46}\) | |
| \(\frac{3}{8}\) |
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 - 3 = \( \frac{c}{-1} \)
-1 x (7c - 3) = c
(-1 x 7c) + (-1 x -3) = c
-7c + 3 = c
-7c + 3 - c = 0
-7c - c = -3
-8c = -3
c = \( \frac{-3}{-8} \)
c = \(\frac{3}{8}\)
The dimensions of this cube are height (h) = 8, length (l) = 9, and width (w) = 8. What is the volume?
| 36 | |
| 5 | |
| 576 | |
| 48 |
The volume of a cube is height x length x width:
v = h x l x w
v = 8 x 9 x 8
v = 576
What is the circumference of a circle with a radius of 5?
| 3π | |
| 5π | |
| 10π | |
| 24π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 5)
c = 10π