| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
Which of the following statements about math operations is incorrect?
you can multiply monomials that have different variables and different exponents |
|
all of these statements are correct |
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you can subtract monomials that have the same variable and the same exponent |
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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.
A coordinate grid is composed of which of the following?
all of these |
|
y-axis |
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origin |
|
x-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
If a = c = 3, b = d = 5, what is the area of this rectangle?
| 14 | |
| 12 | |
| 1 | |
| 15 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 5
a = 15
Factor y2 + y - 2
| (y + 1)(y + 2) | |
| (y - 1)(y + 2) | |
| (y + 1)(y - 2) | |
| (y - 1)(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 -2 as well and sum (Inside, Outside) to equal 1. For this problem, those two numbers are -1 and 2. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + y - 2
y2 + (-1 + 2)y + (-1 x 2)
(y - 1)(y + 2)
The dimensions of this trapezoid are a = 5, b = 8, c = 6, d = 6, and h = 3. What is the area?
| 25 | |
| 21 | |
| 19\(\frac{1}{2}\) | |
| 34 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(8 + 6)(3)
a = ½(14)(3)
a = ½(42) = \( \frac{42}{2} \)
a = 21