| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
Solve for b:
b2 + 8b + 15 = 0
| -3 or -5 | |
| 8 or -8 | |
| -3 or -9 | |
| 3 or -7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 + 8b + 15 = 0
(b + 3)(b + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 3) or (b + 5) must equal zero:
If (b + 3) = 0, b must equal -3
If (b + 5) = 0, b must equal -5
So the solution is that b = -3 or -5
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
|
right angle |
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equal length |
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equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Simplify (2a)(2ab) - (7a2)(9b).
| -59a2b | |
| 64a2b | |
| 64ab2 | |
| 67ab2 |
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)(2ab) - (7a2)(9b)
(2 x 2)(a x a x b) - (7 x 9)(a2 x b)
(4)(a1+1 x b) - (63)(a2b)
4a2b - 63a2b
-59a2b
If the length of AB equals the length of BD, point B __________ this line segment.
midpoints |
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bisects |
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intersects |
|
trisects |
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.
What is 8a - 5a?
| 13a2 | |
| 3a2 | |
| 3a | |
| 40a |
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.
8a - 5a = 3a