| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
Which of the following expressions contains exactly two terms?
polynomial |
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binomial |
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monomial |
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quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
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deconstructing |
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normalizing |
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squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
The endpoints of this line segment are at (-2, 7) and (2, -3). What is the slope of this line?
| -1\(\frac{1}{2}\) | |
| -2 | |
| -2\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) |
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, 7) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (7.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)Solve for b:
b2 + 15b + 47 = b - 1
| -6 or -8 | |
| 8 or 8 | |
| 7 or -9 | |
| 6 or -2 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
b2 + 15b + 47 = b - 1
b2 + 15b + 47 + 1 = b
b2 + 15b - b + 48 = 0
b2 + 14b + 48 = 0
Next, factor the quadratic equation:
b2 + 14b + 48 = 0
(b + 6)(b + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 6) or (b + 8) must equal zero:
If (b + 6) = 0, b must equal -6
If (b + 8) = 0, b must equal -8
So the solution is that b = -6 or -8
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
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pairs |
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division |
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addition |
When solving an equation with two variables, 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.)