| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
The dimensions of this trapezoid are a = 5, b = 5, c = 8, d = 8, and h = 3. What is the area?
| 19\(\frac{1}{2}\) | |
| 13\(\frac{1}{2}\) | |
| 18 | |
| 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(5 + 8)(3)
a = ½(13)(3)
a = ½(39) = \( \frac{39}{2} \)
a = 19\(\frac{1}{2}\)
Solve for b:
-2b - 2 = \( \frac{b}{9} \)
| -\(\frac{18}{55}\) | |
| -\(\frac{6}{49}\) | |
| -\(\frac{18}{19}\) | |
| -\(\frac{8}{31}\) |
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.
-2b - 2 = \( \frac{b}{9} \)
9 x (-2b - 2) = b
(9 x -2b) + (9 x -2) = b
-18b - 18 = b
-18b - 18 - b = 0
-18b - b = 18
-19b = 18
b = \( \frac{18}{-19} \)
b = -\(\frac{18}{19}\)
Which of the following expressions contains exactly two terms?
quadratic |
|
polynomial |
|
binomial |
|
monomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Simplify 4a x 2b.
| 6ab | |
| 8\( \frac{a}{b} \) | |
| 8ab | |
| 8\( \frac{b}{a} \) |
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.
4a x 2b = (4 x 2) (a x b) = 8ab
Solve for b:
-b + 6 < 3 + 8b
| b < -\(\frac{2}{5}\) | |
| b < \(\frac{1}{3}\) | |
| b < 1\(\frac{2}{7}\) | |
| b < -\(\frac{1}{2}\) |
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.
-b + 6 < 3 + 8b
-b < 3 + 8b - 6
-b - 8b < 3 - 6
-9b < -3
b < \( \frac{-3}{-9} \)
b < \(\frac{1}{3}\)