| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
Solve for a:
7a + 3 < 9 - 8a
| a < 4 | |
| a < \(\frac{6}{7}\) | |
| a < \(\frac{4}{7}\) | |
| a < \(\frac{2}{5}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
7a + 3 < 9 - 8a
7a < 9 - 8a - 3
7a + 8a < 9 - 3
15a < 6
a < \( \frac{6}{15} \)
a < \(\frac{2}{5}\)
If side a = 4, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{80} \) | |
| \( \sqrt{130} \) | |
| \( \sqrt{17} \) | |
| \( \sqrt{52} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 82
c2 = 16 + 64
c2 = 80
c = \( \sqrt{80} \)
Which of the following statements about math operations is incorrect?
you can subtract monomials that have the same variable and the same exponent |
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you can add monomials that have the same variable and the same exponent |
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all of these statements are correct |
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you can multiply monomials that have different variables and different exponents |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
Which types of triangles will always have at least two sides of equal length?
equilateral, isosceles and right |
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equilateral and isosceles |
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equilateral and right |
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isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
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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perimeter = sum of side lengths |
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exterior angle = sum of two adjacent interior angles |
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.