| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.72 |
| Score | 0% | 54% |
Solve for y:
y2 + 7y + 12 = 0
| 9 or 3 | |
| 9 or -7 | |
| 3 or -9 | |
| -3 or -4 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 + 7y + 12 = 0
(y + 3)(y + 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 3) or (y + 4) must equal zero:
If (y + 3) = 0, y must equal -3
If (y + 4) = 0, y must equal -4
So the solution is that y = -3 or -4
The dimensions of this cube are height (h) = 4, length (l) = 2, and width (w) = 1. What is the surface area?
| 174 | |
| 28 | |
| 270 | |
| 158 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 2 x 1) + (2 x 1 x 4) + (2 x 2 x 4)
sa = (4) + (8) + (16)
sa = 28
A right angle measures:
180° |
|
90° |
|
45° |
|
360° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
The dimensions of this trapezoid are a = 6, b = 2, c = 9, d = 9, and h = 5. What is the area?
| 27\(\frac{1}{2}\) | |
| 22\(\frac{1}{2}\) | |
| 34 | |
| 24 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(2 + 9)(5)
a = ½(11)(5)
a = ½(55) = \( \frac{55}{2} \)
a = 27\(\frac{1}{2}\)
The formula for the area of a circle is which of the following?
c = π d2 |
|
c = π r |
|
c = π d |
|
c = π r2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.