| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.77 |
| Score | 0% | 75% |
If side x = 5cm, side y = 15cm, and side z = 12cm what is the perimeter of this triangle?
| 32cm | |
| 33cm | |
| 22cm | |
| 29cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 5cm + 15cm + 12cm = 32cm
Which of the following statements about math operations is incorrect?
you can multiply monomials that have different variables and different exponents |
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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 subtract monomials that have the same variable and the same exponent |
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 z:
8z - 7 = 3 - 3z
| \(\frac{10}{11}\) | |
| \(\frac{1}{7}\) | |
| 5 | |
| \(\frac{1}{4}\) |
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.
8z - 7 = 3 - 3z
8z = 3 - 3z + 7
8z + 3z = 3 + 7
11z = 10
z = \( \frac{10}{11} \)
z = \(\frac{10}{11}\)
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
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deconstructing |
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factoring |
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squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
A right angle measures:
45° |
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90° |
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360° |
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180° |
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.