| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
What is 8a3 - 6a3?
| 48a3 | |
| 2a3 | |
| 2a6 | |
| 2 |
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.
8a3 - 6a3 = 2a3
What is 5a6 + 2a6?
| 7 | |
| a612 | |
| 3a12 | |
| 7a6 |
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.
5a6 + 2a6 = 7a6
Which of the following statements about a triangle is not true?
area = ½bh |
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sum of interior angles = 180° |
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exterior angle = sum of two adjacent interior angles |
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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.
If the base of this triangle is 9 and the height is 3, what is the area?
| 13\(\frac{1}{2}\) | |
| 82\(\frac{1}{2}\) | |
| 55 | |
| 54 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 9 x 3 = \( \frac{27}{2} \) = 13\(\frac{1}{2}\)
For this diagram, the Pythagorean theorem states that b2 = ?
c2 - a2 |
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c2 + a2 |
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a2 - c2 |
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c - a |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)