| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.81 |
| Score | 0% | 56% |
If a = -2 and y = 5, what is the value of 3a(a - y)?
| 25 | |
| -63 | |
| 42 | |
| 225 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
3a(a - y)
3(-2)(-2 - 5)
3(-2)(-7)
(-6)(-7)
42
Solve 4a - 5a = 3a + 3y + 5 for a in terms of y.
| 8y + 5 | |
| y - \(\frac{6}{11}\) | |
| -1\(\frac{1}{3}\)y + \(\frac{2}{9}\) | |
| -\(\frac{3}{17}\)y + \(\frac{4}{17}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
4a - 5y = 3a + 3y + 5
4a = 3a + 3y + 5 + 5y
4a - 3a = 3y + 5 + 5y
a = 8y + 5
What is 6a6 + 8a6?
| -2a12 | |
| 14a6 | |
| a612 | |
| -2 |
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.
6a6 + 8a6 = 14a6
The dimensions of this cube are height (h) = 8, length (l) = 1, and width (w) = 5. What is the surface area?
| 158 | |
| 92 | |
| 124 | |
| 106 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 1 x 5) + (2 x 5 x 8) + (2 x 1 x 8)
sa = (10) + (80) + (16)
sa = 106
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
|
2(π r2) + 2π rh |
|
π r2h2 |
|
π r2h |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.