| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
Simplify 7a x 8b.
| 56\( \frac{b}{a} \) | |
| 56ab | |
| 56a2b2 | |
| 56\( \frac{a}{b} \) |
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.
7a x 8b = (7 x 8) (a x b) = 56ab
What is the circumference of a circle with a diameter of 5?
| 1π | |
| 5π | |
| 24π | |
| 11π |
The formula for circumference is circle diameter x π:
c = πd
c = 5π
Solve for y:
8y + 8 = \( \frac{y}{-4} \)
| -\(\frac{32}{33}\) | |
| \(\frac{2}{5}\) | |
| -1\(\frac{10}{71}\) | |
| \(\frac{7}{24}\) |
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.
8y + 8 = \( \frac{y}{-4} \)
-4 x (8y + 8) = y
(-4 x 8y) + (-4 x 8) = y
-32y - 32 = y
-32y - 32 - y = 0
-32y - y = 32
-33y = 32
y = \( \frac{32}{-33} \)
y = -\(\frac{32}{33}\)
The endpoints of this line segment are at (-2, 5) and (2, -7). What is the slope of this line?
| -2\(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| -3 |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 5) and (2, -7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-7.0) - (5.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)Solve for z:
-9z + 2 = -3 + 9z
| 9 | |
| -\(\frac{4}{7}\) | |
| \(\frac{4}{7}\) | |
| \(\frac{5}{18}\) |
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.
-9z + 2 = -3 + 9z
-9z = -3 + 9z - 2
-9z - 9z = -3 - 2
-18z = -5
z = \( \frac{-5}{-18} \)
z = \(\frac{5}{18}\)