| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
Solve for a:
-3a - 8 = \( \frac{a}{9} \)
| \(\frac{10}{31}\) | |
| -2\(\frac{4}{7}\) | |
| 2\(\frac{3}{11}\) | |
| -\(\frac{1}{2}\) |
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.
-3a - 8 = \( \frac{a}{9} \)
9 x (-3a - 8) = a
(9 x -3a) + (9 x -8) = a
-27a - 72 = a
-27a - 72 - a = 0
-27a - a = 72
-28a = 72
a = \( \frac{72}{-28} \)
a = -2\(\frac{4}{7}\)
If the base of this triangle is 8 and the height is 5, what is the area?
| 60 | |
| 20 | |
| 84\(\frac{1}{2}\) | |
| 40 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 8 x 5 = \( \frac{40}{2} \) = 20
The formula for the area of a circle is which of the following?
a = π d |
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a = π d2 |
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a = π r |
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a = π r2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
What is 4a + 7a?
| 11 | |
| 28a | |
| -3a2 | |
| 11a |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
4a + 7a = 11a
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
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supplementary, vertical |
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acute, obtuse |
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vertical, supplementary |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).