| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
Simplify 3a x 2b.
| 6a2b2 | |
| 6\( \frac{b}{a} \) | |
| 5ab | |
| 6ab |
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.
3a x 2b = (3 x 2) (a x b) = 6ab
A right angle measures:
90° |
|
45° |
|
180° |
|
360° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Solve for x:
-x + 9 > \( \frac{x}{-4} \)
| x > 12 | |
| x > -6\(\frac{3}{10}\) | |
| x > -\(\frac{9}{14}\) | |
| x > \(\frac{14}{29}\) |
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 > sign and the answer on the other.
-x + 9 > \( \frac{x}{-4} \)
-4 x (-x + 9) > x
(-4 x -x) + (-4 x 9) > x
4x - 36 > x
4x - 36 - x > 0
4x - x > 36
3x > 36
x > \( \frac{36}{3} \)
x > 12
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
|
pairs |
|
addition |
|
division |
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.)
The dimensions of this cylinder are height (h) = 2 and radius (r) = 6. What is the surface area?
| 80π | |
| 48π | |
| 182π | |
| 96π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(62) + 2π(6 x 2)
sa = 2π(36) + 2π(12)
sa = (2 x 36)π + (2 x 12)π
sa = 72π + 24π
sa = 96π