| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
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equal angle |
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parallel |
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equal length |
A trapezoid is a quadrilateral with one set of parallel sides.
Simplify 2a x 7b.
| 14\( \frac{a}{b} \) | |
| 9ab | |
| 14a2b2 | |
| 14ab |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
2a x 7b = (2 x 7) (a x b) = 14ab
Solve for a:
a2 + 10a + 16 = 0
| 6 or -6 | |
| -2 or -8 | |
| 7 or 4 | |
| -2 or -7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 + 10a + 16 = 0
(a + 2)(a + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 2) or (a + 8) must equal zero:
If (a + 2) = 0, a must equal -2
If (a + 8) = 0, a must equal -8
So the solution is that a = -2 or -8
What is 9a9 - 7a9?
| 63a18 | |
| 2a9 | |
| 2a18 | |
| 16a18 |
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.
9a9 - 7a9 = 2a9
For this diagram, the Pythagorean theorem states that b2 = ?
c2 - a2 |
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c - a |
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a2 - c2 |
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c2 + a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)