| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.97 |
| Score | 0% | 59% |
If a = c = 1, b = d = 5, and the blue angle = 50°, what is the area of this parallelogram?
| 30 | |
| 3 | |
| 10 | |
| 5 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 1 x 5
a = 5
Which of the following statements about a triangle is not true?
exterior angle = sum of two adjacent interior angles |
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area = ½bh |
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sum of interior angles = 180° |
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perimeter = sum of side lengths |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.
Solve 4b - 3b = -2b + 9x + 6 for b in terms of x.
| \(\frac{1}{13}\)x + \(\frac{3}{13}\) | |
| -\(\frac{1}{2}\)x + \(\frac{5}{8}\) | |
| 2x + 1 | |
| x - 1\(\frac{1}{8}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
4b - 3x = -2b + 9x + 6
4b = -2b + 9x + 6 + 3x
4b + 2b = 9x + 6 + 3x
6b = 12x + 6
b = \( \frac{12x + 6}{6} \)
b = \( \frac{12x}{6} \) + \( \frac{6}{6} \)
b = 2x + 1
Solve for a:
a2 + 9a + 20 = 0
| 5 or 5 | |
| -4 or -5 | |
| 2 or 1 | |
| -3 or -6 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 + 9a + 20 = 0
(a + 4)(a + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 4) or (a + 5) must equal zero:
If (a + 4) = 0, a must equal -4
If (a + 5) = 0, a must equal -5
So the solution is that a = -4 or -5
Which of the following expressions contains exactly two terms?
binomial |
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polynomial |
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monomial |
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quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.