| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.41 |
| Score | 0% | 68% |
Which types of triangles will always have at least two sides of equal length?
equilateral and right |
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isosceles and right |
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equilateral and isosceles |
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equilateral, 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.
Solve for b:
4b - 2 = -5 - 3b
| -\(\frac{3}{7}\) | |
| \(\frac{8}{9}\) | |
| -\(\frac{3}{4}\) | |
| -7 |
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 equal sign and the answer on the other.
4b - 2 = -5 - 3b
4b = -5 - 3b + 2
4b + 3b = -5 + 2
7b = -3
b = \( \frac{-3}{7} \)
b = -\(\frac{3}{7}\)
If side a = 7, side b = 7, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{34} \) | |
| \( \sqrt{17} \) | |
| \( \sqrt{26} \) | |
| \( \sqrt{98} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 72
c2 = 49 + 49
c2 = 98
c = \( \sqrt{98} \)
A coordinate grid is composed of which of the following?
all of these |
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y-axis |
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x-axis |
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origin |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
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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you can multiply monomials that have different variables and different exponents |
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all of these statements are correct |
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.