| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
The dimensions of this cube are height (h) = 6, length (l) = 5, and width (w) = 7. What is the surface area?
| 104 | |
| 120 | |
| 214 | |
| 150 |
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 5 x 7) + (2 x 7 x 6) + (2 x 5 x 6)
sa = (70) + (84) + (60)
sa = 214
The dimensions of this trapezoid are a = 4, b = 5, c = 5, d = 7, and h = 2. What is the area?
| 11 | |
| 12 | |
| 16 | |
| 28 |
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 + 7)(2)
a = ½(12)(2)
a = ½(24) = \( \frac{24}{2} \)
a = 12
If c = -9 and z = 3, what is the value of 3c(c - z)?
| 324 | |
| 18 | |
| 160 | |
| 48 |
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.)
3c(c - z)
3(-9)(-9 - 3)
3(-9)(-12)
(-27)(-12)
324
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
|
rhombus |
|
quadrilateral |
|
triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
What is 9a + 3a?
| 12 | |
| 12a | |
| 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 = 12a