| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.64 |
| Score | 0% | 53% |
What is 6a7 - 4a7?
| 24a14 | |
| 2a7 | |
| a714 | |
| 10 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
6a7 - 4a7 = 2a7
The dimensions of this trapezoid are a = 4, b = 8, c = 7, d = 5, and h = 3. What is the area?
| 13\(\frac{1}{2}\) | |
| 19\(\frac{1}{2}\) | |
| 32 | |
| 25 |
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(8 + 5)(3)
a = ½(13)(3)
a = ½(39) = \( \frac{39}{2} \)
a = 19\(\frac{1}{2}\)
Which of the following statements about a triangle is not true?
exterior angle = sum of two adjacent interior angles |
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perimeter = sum of side lengths |
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area = ½bh |
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sum of interior angles = 180° |
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.
The endpoints of this line segment are at (-2, -1) and (2, 1). What is the slope of this line?
| \(\frac{1}{2}\) | |
| -\(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) | |
| -2\(\frac{1}{2}\) |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -1) and (2, 1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)Solve 8a + 6a = -5a + x + 8 for a in terms of x.
| \(\frac{3}{11}\)x + \(\frac{3}{11}\) | |
| -\(\frac{5}{13}\)x + \(\frac{8}{13}\) | |
| -11x + 6 | |
| -1\(\frac{1}{6}\)x + \(\frac{1}{3}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
8a + 6x = -5a + x + 8
8a = -5a + x + 8 - 6x
8a + 5a = x + 8 - 6x
13a = -5x + 8
a = \( \frac{-5x + 8}{13} \)
a = \( \frac{-5x}{13} \) + \( \frac{8}{13} \)
a = -\(\frac{5}{13}\)x + \(\frac{8}{13}\)