| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
The dimensions of this cube are height (h) = 1, length (l) = 2, and width (w) = 6. What is the surface area?
| 40 | |
| 70 | |
| 16 | |
| 42 |
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 2 x 6) + (2 x 6 x 1) + (2 x 2 x 1)
sa = (24) + (12) + (4)
sa = 40
The dimensions of this trapezoid are a = 4, b = 4, c = 6, d = 2, and h = 2. What is the area?
| 15 | |
| 22 | |
| 27 | |
| 6 |
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(4 + 2)(2)
a = ½(6)(2)
a = ½(12) = \( \frac{12}{2} \)
a = 6
If c = -8 and y = 9, what is the value of -3c(c - y)?
| -144 | |
| -120 | |
| -728 | |
| -408 |
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 - y)
-3(-8)(-8 - 9)
-3(-8)(-17)
(24)(-17)
-408
Solve for x:
4x + 6 = -7 + 7x
| \(\frac{1}{3}\) | |
| -\(\frac{3}{4}\) | |
| 4\(\frac{1}{3}\) | |
| 7 |
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.
4x + 6 = -7 + 7x
4x = -7 + 7x - 6
4x - 7x = -7 - 6
-3x = -13
x = \( \frac{-13}{-3} \)
x = 4\(\frac{1}{3}\)
Simplify 7a x 5b.
| 35\( \frac{b}{a} \) | |
| 35ab | |
| 35\( \frac{a}{b} \) | |
| 12ab |
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.
7a x 5b = (7 x 5) (a x b) = 35ab