| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
The dimensions of this cube are height (h) = 5, length (l) = 2, and width (w) = 7. What is the surface area?
| 118 | |
| 104 | |
| 254 | |
| 102 |
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 7) + (2 x 7 x 5) + (2 x 2 x 5)
sa = (28) + (70) + (20)
sa = 118
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
|
exponents |
|
addition |
|
pairs |
When solving an equation with two variables, 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.)
Solve for b:
4b - 6 = \( \frac{b}{-6} \)
| 1\(\frac{7}{8}\) | |
| -3\(\frac{5}{9}\) | |
| -1\(\frac{13}{23}\) | |
| 1\(\frac{11}{25}\) |
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.
4b - 6 = \( \frac{b}{-6} \)
-6 x (4b - 6) = b
(-6 x 4b) + (-6 x -6) = b
-24b + 36 = b
-24b + 36 - b = 0
-24b - b = -36
-25b = -36
b = \( \frac{-36}{-25} \)
b = 1\(\frac{11}{25}\)
Simplify 8a x 9b.
| 17ab | |
| 72ab | |
| 72a2b2 | |
| 72\( \frac{a}{b} \) |
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 x 9b = (8 x 9) (a x b) = 72ab
The dimensions of this cylinder are height (h) = 7 and radius (r) = 5. What is the volume?
| 175π | |
| 147π | |
| 162π | |
| 28π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(52 x 7)
v = 175π