| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
Simplify 5a x 5b.
| 10ab | |
| 25\( \frac{b}{a} \) | |
| 25ab | |
| 25\( \frac{a}{b} \) |
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.
5a x 5b = (5 x 5) (a x b) = 25ab
If b = 2 and z = 9, what is the value of 2b(b - z)?
| 0 | |
| -28 | |
| 110 | |
| -64 |
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.)
2b(b - z)
2(2)(2 - 9)
2(2)(-7)
(4)(-7)
-28
What is 8a + 6a?
| 48a | |
| 14 | |
| 14a | |
| 48a2 |
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.
8a + 6a = 14a
The dimensions of this cylinder are height (h) = 2 and radius (r) = 4. What is the surface area?
| 48π | |
| 66π | |
| 42π | |
| 324π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 2)
sa = 2π(16) + 2π(8)
sa = (2 x 16)π + (2 x 8)π
sa = 32π + 16π
sa = 48π
Which types of triangles will always have at least two sides of equal length?
equilateral, isosceles and right |
|
equilateral and isosceles |
|
isosceles and right |
|
equilateral and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.