| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
The dimensions of this cylinder are height (h) = 5 and radius (r) = 7. What is the surface area?
| 234π | |
| 110π | |
| 256π | |
| 168π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(72) + 2π(7 x 5)
sa = 2π(49) + 2π(35)
sa = (2 x 49)π + (2 x 35)π
sa = 98π + 70π
sa = 168π
The dimensions of this cube are height (h) = 5, length (l) = 7, and width (w) = 6. What is the volume?
| 210 | |
| 56 | |
| 16 | |
| 112 |
The volume of a cube is height x length x width:
v = h x l x w
v = 5 x 7 x 6
v = 210
Find the value of a:
-3a + y = -4
-7a + 8y = -4
| -\(\frac{5}{7}\) | |
| \(\frac{19}{40}\) | |
| \(\frac{3}{5}\) | |
| 1\(\frac{11}{17}\) |
You need to find the value of a so solve the first equation in terms of y:
-3a + y = -4
y = -4 + 3a
then substitute the result (-4 - -3a) into the second equation:
-7a + 8(-4 + 3a) = -4
-7a + (8 x -4) + (8 x 3a) = -4
-7a - 32 + 24a = -4
-7a + 24a = -4 + 32
17a = 28
a = \( \frac{28}{17} \)
a = 1\(\frac{11}{17}\)
What is the circumference of a circle with a radius of 5?
| 6π | |
| 10π | |
| 26π | |
| 16π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 5)
c = 10π
A(n) __________ is two expressions separated by an equal sign.
equation |
|
problem |
|
expression |
|
formula |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.