| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
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 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 |
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.
Simplify (y - 2)(y - 7)
| y2 - 9y + 14 | |
| y2 + 5y - 14 | |
| y2 - 5y - 14 | |
| y2 + 9y + 14 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 2)(y - 7)
(y x y) + (y x -7) + (-2 x y) + (-2 x -7)
y2 - 7y - 2y + 14
y2 - 9y + 14
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.
If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
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bisects |
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midpoints |
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intersects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
Solve -4a - 2a = 5a - 2y + 2 for a in terms of y.
| -\(\frac{4}{5}\)y - \(\frac{3}{5}\) | |
| y + \(\frac{2}{11}\) | |
| y - \(\frac{2}{9}\) | |
| 1\(\frac{1}{2}\)y - 1\(\frac{1}{8}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
-4a - 2y = 5a - 2y + 2
-4a = 5a - 2y + 2 + 2y
-4a - 5a = -2y + 2 + 2y
-9a = + 2
a = \( \frac{ + 2}{-9} \)
a = \( \frac{}{-9} \) + \( \frac{2}{-9} \)
a = y - \(\frac{2}{9}\)