| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
If a = -3 and y = 5, what is the value of -7a(a - y)?
| 20 | |
| -168 | |
| -18 | |
| -16 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-7a(a - y)
-7(-3)(-3 - 5)
-7(-3)(-8)
(21)(-8)
-168
A trapezoid is a quadrilateral with one set of __________ sides.
equal angle |
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equal length |
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parallel |
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right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Which of the following statements about math operations is incorrect?
all of these statements are correct |
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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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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.
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, 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.
Solve for a:
6a - 2 = \( \frac{a}{7} \)
| -1\(\frac{1}{6}\) | |
| -\(\frac{8}{33}\) | |
| -\(\frac{8}{25}\) | |
| \(\frac{14}{41}\) |
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.
6a - 2 = \( \frac{a}{7} \)
7 x (6a - 2) = a
(7 x 6a) + (7 x -2) = a
42a - 14 = a
42a - 14 - a = 0
42a - a = 14
41a = 14
a = \( \frac{14}{41} \)
a = \(\frac{14}{41}\)