| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
The dimensions of this trapezoid are a = 5, b = 6, c = 8, d = 6, and h = 3. What is the area?
| 18 | |
| 27 | |
| 11 | |
| 22\(\frac{1}{2}\) |
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(6 + 6)(3)
a = ½(12)(3)
a = ½(36) = \( \frac{36}{2} \)
a = 18
Solve for x:
-9x - 1 = -6 - 5x
| -\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| -\(\frac{8}{9}\) | |
| 1\(\frac{1}{4}\) |
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 equal sign and the answer on the other.
-9x - 1 = -6 - 5x
-9x = -6 - 5x + 1
-9x + 5x = -6 + 1
-4x = -5
x = \( \frac{-5}{-4} \)
x = 1\(\frac{1}{4}\)
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
|
lw x wh + lh |
|
2lw x 2wh + 2lh |
|
h2 x l2 x w2 |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
The formula for the area of a circle is which of the following?
a = π d2 |
|
a = π d |
|
a = π r |
|
a = π r2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Simplify 2a x 9b.
| 18a2b2 | |
| 18\( \frac{a}{b} \) | |
| 18ab | |
| 11ab |
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 9b = (2 x 9) (a x b) = 18ab