| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
Which types of triangles will always have at least two sides of equal length?
equilateral and right |
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equilateral, isosceles and right |
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isosceles and right |
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equilateral and isosceles |
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 math operations is incorrect?
you can subtract 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 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 |
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.
Solve for x:
7x - 5 = \( \frac{x}{2} \)
| -\(\frac{4}{29}\) | |
| -3\(\frac{3}{23}\) | |
| \(\frac{7}{16}\) | |
| \(\frac{10}{13}\) |
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.
7x - 5 = \( \frac{x}{2} \)
2 x (7x - 5) = x
(2 x 7x) + (2 x -5) = x
14x - 10 = x
14x - 10 - x = 0
14x - x = 10
13x = 10
x = \( \frac{10}{13} \)
x = \(\frac{10}{13}\)
A right angle measures:
180° |
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360° |
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45° |
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90° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Simplify (5a)(8ab) - (6a2)(4b).
| 130a2b | |
| 130ab2 | |
| 64ab2 | |
| 16a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(5a)(8ab) - (6a2)(4b)
(5 x 8)(a x a x b) - (6 x 4)(a2 x b)
(40)(a1+1 x b) - (24)(a2b)
40a2b - 24a2b
16a2b