| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
The dimensions of this trapezoid are a = 6, b = 7, c = 7, d = 7, and h = 4. What is the area?
| 28 | |
| 24 | |
| 32 | |
| 25 |
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(7 + 7)(4)
a = ½(14)(4)
a = ½(56) = \( \frac{56}{2} \)
a = 28
If c = 5 and x = -1, what is the value of 6c(c - x)?
| 42 | |
| -336 | |
| 180 | |
| -105 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
6c(c - x)
6(5)(5 + 1)
6(5)(6)
(30)(6)
180
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
h x l x w |
|
h2 x l2 x w2 |
|
2lw x 2wh + 2lh |
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.
Simplify (8a)(6ab) + (9a2)(5b).
| 93a2b | |
| 3a2b | |
| 93ab2 | |
| 196a2b |
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.
(8a)(6ab) + (9a2)(5b)
(8 x 6)(a x a x b) + (9 x 5)(a2 x b)
(48)(a1+1 x b) + (45)(a2b)
48a2b + 45a2b
93a2b
What is 8a - 3a?
| 5a | |
| 24a | |
| 5a2 | |
| 24a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
8a - 3a = 5a