| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
The dimensions of this trapezoid are a = 4, b = 8, c = 7, d = 8, and h = 2. What is the area?
| 7 | |
| 16 | |
| 12\(\frac{1}{2}\) | |
| 10 |
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 + 8)(2)
a = ½(16)(2)
a = ½(32) = \( \frac{32}{2} \)
a = 16
Solve for x:
-6x + 1 < \( \frac{x}{-5} \)
| x < \(\frac{5}{29}\) | |
| x < 2\(\frac{5}{11}\) | |
| x < -1 | |
| x < -1\(\frac{11}{13}\) |
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.
-6x + 1 < \( \frac{x}{-5} \)
-5 x (-6x + 1) < x
(-5 x -6x) + (-5 x 1) < x
30x - 5 < x
30x - 5 - x < 0
30x - x < 5
29x < 5
x < \( \frac{5}{29} \)
x < \(\frac{5}{29}\)
Which of the following statements about math operations is incorrect?
you can multiply monomials that have different variables and different exponents |
|
you can subtract monomials that have the same variable and the same exponent |
|
all of these statements are correct |
|
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 = 7, b = 8, c = 6, and d = 6, what is the perimeter of this quadrilateral?
| 24 | |
| 15 | |
| 27 | |
| 19 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 7 + 8 + 6 + 6
p = 27
The dimensions of this cube are height (h) = 8, length (l) = 5, and width (w) = 2. What is the volume?
| 126 | |
| 80 | |
| 288 | |
| 441 |
The volume of a cube is height x length x width:
v = h x l x w
v = 8 x 5 x 2
v = 80