| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.85 |
| Score | 0% | 57% |
Solve for c:
-9c + 1 = -5 + 4c
| -\(\frac{1}{2}\) | |
| 1\(\frac{1}{3}\) | |
| \(\frac{6}{13}\) | |
| \(\frac{1}{4}\) |
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.
-9c + 1 = -5 + 4c
-9c = -5 + 4c - 1
-9c - 4c = -5 - 1
-13c = -6
c = \( \frac{-6}{-13} \)
c = \(\frac{6}{13}\)
The dimensions of this cylinder are height (h) = 2 and radius (r) = 9. What is the surface area?
| 120π | |
| 8π | |
| 54π | |
| 198π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 2)
sa = 2π(81) + 2π(18)
sa = (2 x 81)π + (2 x 18)π
sa = 162π + 36π
sa = 198π
If c = 9 and x = -4, what is the value of -2c(c - x)?
| -234 | |
| -8 | |
| 450 | |
| -70 |
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.)
-2c(c - x)
-2(9)(9 + 4)
-2(9)(13)
(-18)(13)
-234
Simplify (6a)(2ab) + (3a2)(8b).
| 88ab2 | |
| 12ab2 | |
| 36a2b | |
| -12a2b |
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.
(6a)(2ab) + (3a2)(8b)
(6 x 2)(a x a x b) + (3 x 8)(a2 x b)
(12)(a1+1 x b) + (24)(a2b)
12a2b + 24a2b
36a2b
Solve for b:
-2b - 3 > \( \frac{b}{-4} \)
| b > \(\frac{1}{2}\) | |
| b > -1\(\frac{5}{7}\) | |
| b > \(\frac{9}{62}\) | |
| b > 1\(\frac{8}{73}\) |
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 > sign and the answer on the other.
-2b - 3 > \( \frac{b}{-4} \)
-4 x (-2b - 3) > b
(-4 x -2b) + (-4 x -3) > b
8b + 12 > b
8b + 12 - b > 0
8b - b > -12
7b > -12
b > \( \frac{-12}{7} \)
b > -1\(\frac{5}{7}\)