| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.53 |
| Score | 0% | 71% |
The dimensions of this cube are height (h) = 9, length (l) = 1, and width (w) = 9. What is the volume?
| 48 | |
| 63 | |
| 320 | |
| 81 |
The volume of a cube is height x length x width:
v = h x l x w
v = 9 x 1 x 9
v = 81
The dimensions of this cylinder are height (h) = 5 and radius (r) = 8. What is the surface area?
| 30π | |
| 208π | |
| 84π | |
| 306π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 5)
sa = 2π(64) + 2π(40)
sa = (2 x 64)π + (2 x 40)π
sa = 128π + 80π
sa = 208π
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Odd |
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First |
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Inside |
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Last |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.
Solve for z:
z2 - 11z + 24 = 0
| 4 or -5 | |
| 3 or 8 | |
| 7 or -3 | |
| 2 or -7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 11z + 24 = 0
(z - 3)(z - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 3) or (z - 8) must equal zero:
If (z - 3) = 0, z must equal 3
If (z - 8) = 0, z must equal 8
So the solution is that z = 3 or 8
A(n) __________ is two expressions separated by an equal sign.
formula |
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expression |
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equation |
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problem |
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.