| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
Solve for c:
4c + 8 = \( \frac{c}{-3} \)
| -1\(\frac{11}{13}\) | |
| -\(\frac{4}{5}\) | |
| \(\frac{32}{55}\) | |
| \(\frac{5}{9}\) |
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.
4c + 8 = \( \frac{c}{-3} \)
-3 x (4c + 8) = c
(-3 x 4c) + (-3 x 8) = c
-12c - 24 = c
-12c - 24 - c = 0
-12c - c = 24
-13c = 24
c = \( \frac{24}{-13} \)
c = -1\(\frac{11}{13}\)
The dimensions of this cube are height (h) = 5, length (l) = 4, and width (w) = 8. What is the volume?
| 120 | |
| 144 | |
| 160 | |
| 54 |
The volume of a cube is height x length x width:
v = h x l x w
v = 5 x 4 x 8
v = 160
Simplify 3a x 8b.
| 24\( \frac{a}{b} \) | |
| 24\( \frac{b}{a} \) | |
| 24ab | |
| 24a2b2 |
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.
3a x 8b = (3 x 8) (a x b) = 24ab
The formula for the area of a circle is which of the following?
a = π r |
|
a = π d |
|
a = π r2 |
|
a = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
The endpoints of this line segment are at (-2, -9) and (2, 3). What is the slope of this line?
| -2\(\frac{1}{2}\) | |
| -2 | |
| 3 | |
| -\(\frac{1}{2}\) |
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, -9) and (2, 3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-9.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)