| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
Solve -5c - 6c = 4c - 3x - 1 for c in terms of x.
| -\(\frac{1}{3}\)x + \(\frac{1}{9}\) | |
| x + \(\frac{2}{3}\) | |
| -1\(\frac{1}{6}\)x + \(\frac{2}{3}\) | |
| \(\frac{11}{13}\)x - \(\frac{3}{13}\) |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
-5c - 6x = 4c - 3x - 1
-5c = 4c - 3x - 1 + 6x
-5c - 4c = -3x - 1 + 6x
-9c = 3x - 1
c = \( \frac{3x - 1}{-9} \)
c = \( \frac{3x}{-9} \) + \( \frac{-1}{-9} \)
c = -\(\frac{1}{3}\)x + \(\frac{1}{9}\)
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
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parallel |
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equal length |
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equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Solve for y:
-7y + 1 = 5 + 8y
| -\(\frac{4}{15}\) | |
| 1\(\frac{1}{4}\) | |
| -7 | |
| -1\(\frac{1}{2}\) |
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.
-7y + 1 = 5 + 8y
-7y = 5 + 8y - 1
-7y - 8y = 5 - 1
-15y = 4
y = \( \frac{4}{-15} \)
y = -\(\frac{4}{15}\)
Which of the following statements about math operations is incorrect?
all of these statements are correct |
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you can multiply monomials that have different variables and different exponents |
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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 |
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 of the following statements about a triangle is not true?
perimeter = sum of side lengths |
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area = ½bh |
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exterior angle = sum of two adjacent interior angles |
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sum of interior angles = 180° |
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.