| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
Simplify 2a x 5b.
| 10ab | |
| 7ab | |
| 10a2b2 | |
| 10\( \frac{b}{a} \) |
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 5b = (2 x 5) (a x b) = 10ab
What is 8a - 3a?
| 5a2 | |
| 11 | |
| 5a | |
| 24a |
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 - 3a = 5a
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
|
squaring |
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deconstructing |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
|
c2 - a2 |
|
c2 + a2 |
|
a2 - c2 |
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, \(c = \sqrt{a + b}\)
If a = c = 3, b = d = 6, and the blue angle = 60°, what is the area of this parallelogram?
| 16 | |
| 12 | |
| 18 | |
| 54 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 3 x 6
a = 18