| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
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deconstructing |
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squaring |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Which of the following statements about math operations is incorrect?
you can subtract monomials that have the same variable and the same exponent |
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you can multiply monomials that have different variables and different exponents |
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all of these statements are correct |
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you can add monomials that have the same variable and the same exponent |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
If a = -4 and y = 3, what is the value of -a(a - y)?
| -15 | |
| -168 | |
| -28 | |
| -126 |
To solve this equation, 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.)
-a(a - y)
-1(-4)(-4 - 3)
-1(-4)(-7)
(4)(-7)
-28
Which of the following expressions contains exactly two terms?
quadratic |
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monomial |
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polynomial |
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binomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
The dimensions of this cube are height (h) = 3, length (l) = 3, and width (w) = 5. What is the surface area?
| 378 | |
| 78 | |
| 100 | |
| 38 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 5) + (2 x 5 x 3) + (2 x 3 x 3)
sa = (30) + (30) + (18)
sa = 78