| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
The endpoints of this line segment are at (-2, 1) and (2, 5). What is the slope of this line?
| 1 | |
| 1\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) |
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, 1) and (2, 5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (1.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)Simplify 4a x 4b.
| 16\( \frac{a}{b} \) | |
| 16a2b2 | |
| 8ab | |
| 16ab |
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.
4a x 4b = (4 x 4) (a x b) = 16ab
What is the circumference of a circle with a radius of 2?
| 1π | |
| 4π | |
| 5π | |
| 12π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 2)
c = 4π
Solve for y:
-3y + 5 = 8 + 5y
| -2\(\frac{2}{3}\) | |
| \(\frac{7}{9}\) | |
| 1\(\frac{1}{3}\) | |
| -\(\frac{3}{8}\) |
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.
-3y + 5 = 8 + 5y
-3y = 8 + 5y - 5
-3y - 5y = 8 - 5
-8y = 3
y = \( \frac{3}{-8} \)
y = -\(\frac{3}{8}\)
Find the value of b:
5b + x = 2
-3b + 3x = -9
| \(\frac{7}{19}\) | |
| \(\frac{5}{6}\) | |
| 1\(\frac{2}{11}\) | |
| -2\(\frac{3}{4}\) |
You need to find the value of b so solve the first equation in terms of x:
5b + x = 2
x = 2 - 5b
then substitute the result (2 - 5b) into the second equation:
-3b + 3(2 - 5b) = -9
-3b + (3 x 2) + (3 x -5b) = -9
-3b + 6 - 15b = -9
-3b - 15b = -9 - 6
-18b = -15
b = \( \frac{-15}{-18} \)
b = \(\frac{5}{6}\)