| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
Solve for a:
a2 - 11a + 24 = 0
| 7 or -5 | |
| 3 or 8 | |
| 2 or -4 | |
| 8 or 1 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 - 11a + 24 = 0
(a - 3)(a - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 3) or (a - 8) must equal zero:
If (a - 3) = 0, a must equal 3
If (a - 8) = 0, a must equal 8
So the solution is that a = 3 or 8
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
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rhombus |
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trapezoid |
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triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
The endpoints of this line segment are at (-2, 1) and (2, -3). What is the slope of this line?
| 2\(\frac{1}{2}\) | |
| -1 | |
| -3 | |
| -\(\frac{1}{2}\) |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 1) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (1.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)What is 8a - 8a?
| 16 | |
| 64a2 | |
| 0a | |
| 0 |
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 - 8a = 0a
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Inside |
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Last |
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Odd |
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First |
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.