| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
What is 2a + 7a?
| -5 | |
| 9 | |
| 14a | |
| 9a |
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.
2a + 7a = 9a
Factor y2 - 4
| (y + 2)(y + 2) | |
| (y + 2)(y - 2) | |
| (y - 2)(y + 2) | |
| (y - 2)(y - 2) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -4 as well and sum (Inside, Outside) to equal 0. For this problem, those two numbers are -2 and 2. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 4
y2 + (-2 + 2)y + (-2 x 2)
(y - 2)(y + 2)
What is the area of a circle with a radius of 4?
| 6π | |
| 49π | |
| 9π | |
| 16π |
The formula for area is πr2:
a = πr2
a = π(42)
a = 16π
Which of the following statements about math operations is incorrect?
you can subtract monomials that have the same variable and the same exponent |
|
you can add monomials that have the same variable and the same exponent |
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all of these statements are correct |
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you can multiply monomials that have different variables and different exponents |
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.
This diagram represents two parallel lines with a transversal. If w° = 28, what is the value of c°?
| 14 | |
| 28 | |
| 157 | |
| 34 |
For parallel lines with a transversal, the following relationships apply:
Applying these relationships starting with w° = 28, the value of c° is 28.