| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.98 |
| Score | 0% | 60% |
Solve for a:
a2 - 5a - 14 = 0
| -2 or 7 | |
| 6 or -9 | |
| 6 or -8 | |
| 9 or 9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 - 5a - 14 = 0
(a + 2)(a - 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 2) or (a - 7) must equal zero:
If (a + 2) = 0, a must equal -2
If (a - 7) = 0, a must equal 7
So the solution is that a = -2 or 7
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
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Last |
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Inside |
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Odd |
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.
The dimensions of this cube are height (h) = 3, length (l) = 5, and width (w) = 1. What is the surface area?
| 46 | |
| 214 | |
| 258 | |
| 54 |
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 5 x 1) + (2 x 1 x 3) + (2 x 5 x 3)
sa = (10) + (6) + (30)
sa = 46
The dimensions of this trapezoid are a = 4, b = 5, c = 7, d = 2, and h = 3. What is the area?
| 27\(\frac{1}{2}\) | |
| 10\(\frac{1}{2}\) | |
| 18 | |
| 35 |
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(5 + 2)(3)
a = ½(7)(3)
a = ½(21) = \( \frac{21}{2} \)
a = 10\(\frac{1}{2}\)
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
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quadrilateral |
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triangle |
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trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.