| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
Solve for b:
b2 + 5b - 6 = 0
| 1 or -6 | |
| 6 or -7 | |
| 7 or -9 | |
| 9 or 8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 + 5b - 6 = 0
(b - 1)(b + 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 1) or (b + 6) must equal zero:
If (b - 1) = 0, b must equal 1
If (b + 6) = 0, b must equal -6
So the solution is that b = 1 or -6
The dimensions of this cylinder are height (h) = 9 and radius (r) = 5. What is the surface area?
| 144π | |
| 324π | |
| 66π | |
| 140π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 9)
sa = 2π(25) + 2π(45)
sa = (2 x 25)π + (2 x 45)π
sa = 50π + 90π
sa = 140π
A quadrilateral is a shape with __________ sides.
4 |
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3 |
|
2 |
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5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
If a = c = 1, b = d = 9, and the blue angle = 72°, what is the area of this parallelogram?
| 16 | |
| 9 | |
| 27 | |
| 10 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 1 x 9
a = 9
Solve for a:
a2 - 14a + 18 = -4a + 2
| 8 or -3 | |
| 2 or 8 | |
| -2 or -9 | |
| 9 or -6 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
a2 - 14a + 18 = -4a + 2
a2 - 14a + 18 - 2 = -4a
a2 - 14a + 4a + 16 = 0
a2 - 10a + 16 = 0
Next, factor the quadratic equation:
a2 - 10a + 16 = 0
(a - 2)(a - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 2) or (a - 8) must equal zero:
If (a - 2) = 0, a must equal 2
If (a - 8) = 0, a must equal 8
So the solution is that a = 2 or 8