| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
The dimensions of this cube are height (h) = 7, length (l) = 1, and width (w) = 9. What is the surface area?
| 202 | |
| 70 | |
| 28 | |
| 158 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 1 x 9) + (2 x 9 x 7) + (2 x 1 x 7)
sa = (18) + (126) + (14)
sa = 158
The dimensions of this trapezoid are a = 4, b = 3, c = 5, d = 7, and h = 3. What is the area?
| 30 | |
| 15 | |
| 25 | |
| 21 |
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(3 + 7)(3)
a = ½(10)(3)
a = ½(30) = \( \frac{30}{2} \)
a = 15
What is 8a4 - 4a4?
| 4a8 | |
| 12a8 | |
| 4a4 | |
| 12 |
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.
8a4 - 4a4 = 4a4
If b = -3 and y = 6, what is the value of -8b(b - y)?
| -120 | |
| -54 | |
| -216 | |
| -210 |
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.)
-8b(b - y)
-8(-3)(-3 - 6)
-8(-3)(-9)
(24)(-9)
-216
What is 9a - 3a?
| 6a | |
| 6 | |
| 27a | |
| 6a2 |
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.
9a - 3a = 6a