| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.95 |
| Score | 0% | 59% |
If c = 8 and y = -2, what is the value of 7c(c - y)?
| -385 | |
| 560 | |
| 336 | |
| -25 |
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.)
7c(c - y)
7(8)(8 + 2)
7(8)(10)
(56)(10)
560
Simplify (9a)(6ab) - (4a2)(7b).
| 165a2b | |
| 82ab2 | |
| 26a2b | |
| 165ab2 |
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.
(9a)(6ab) - (4a2)(7b)
(9 x 6)(a x a x b) - (4 x 7)(a2 x b)
(54)(a1+1 x b) - (28)(a2b)
54a2b - 28a2b
26a2b
Find the value of b:
2b + y = -4
-4b + 7y = -4
| 1\(\frac{2}{33}\) | |
| -1\(\frac{1}{3}\) | |
| -1\(\frac{3}{31}\) | |
| -\(\frac{3}{26}\) |
You need to find the value of b so solve the first equation in terms of y:
2b + y = -4
y = -4 - 2b
then substitute the result (-4 - 2b) into the second equation:
-4b + 7(-4 - 2b) = -4
-4b + (7 x -4) + (7 x -2b) = -4
-4b - 28 - 14b = -4
-4b - 14b = -4 + 28
-18b = 24
b = \( \frac{24}{-18} \)
b = -1\(\frac{1}{3}\)
What is the area of a circle with a diameter of 10?
| 16π | |
| 25π | |
| 2π | |
| 8π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h |
|
π r2h2 |
|
4π r2 |
|
2(π r2) + 2π rh |
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.