| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
If a = c = 5, b = d = 2, and the blue angle = 55°, what is the area of this parallelogram?
| 14 | |
| 10 | |
| 8 | |
| 12 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 5 x 2
a = 10
If a = c = 3, b = d = 5, what is the area of this rectangle?
| 9 | |
| 54 | |
| 15 | |
| 45 |
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
Which of the following statements about math operations is incorrect?
all of these statements are correct |
|
you can multiply monomials that have different variables and different exponents |
|
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 |
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.
Solve for c:
-c - 4 > -3 + 9c
| c > -\(\frac{1}{10}\) | |
| c > 1\(\frac{4}{5}\) | |
| c > \(\frac{2}{3}\) | |
| c > 3 |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
-c - 4 > -3 + 9c
-c > -3 + 9c + 4
-c - 9c > -3 + 4
-10c > 1
c > \( \frac{1}{-10} \)
c > -\(\frac{1}{10}\)
Factor y2 + 3y - 28
| (y - 4)(y + 7) | |
| (y + 4)(y - 7) | |
| (y - 4)(y - 7) | |
| (y + 4)(y + 7) |
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 -28 as well and sum (Inside, Outside) to equal 3. For this problem, those two numbers are -4 and 7. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 3y - 28
y2 + (-4 + 7)y + (-4 x 7)
(y - 4)(y + 7)