| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.55 |
| Score | 0% | 71% |
What is 3a + 6a?
| 9a | |
| 18a | |
| 9a2 | |
| a2 |
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.
3a + 6a = 9a
The dimensions of this cylinder are height (h) = 8 and radius (r) = 4. What is the volume?
| 128π | |
| 48π | |
| 12π | |
| 36π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(42 x 8)
v = 128π
The dimensions of this cube are height (h) = 7, length (l) = 8, and width (w) = 3. What is the volume?
| 120 | |
| 336 | |
| 168 | |
| 12 |
The volume of a cube is height x length x width:
v = h x l x w
v = 7 x 8 x 3
v = 168
Simplify (y - 1)(y - 3)
| y2 + 4y + 3 | |
| y2 + 2y - 3 | |
| y2 - 2y - 3 | |
| y2 - 4y + 3 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 1)(y - 3)
(y x y) + (y x -3) + (-1 x y) + (-1 x -3)
y2 - 3y - y + 3
y2 - 4y + 3
If b = 2 and x = -5, what is the value of 7b(b - x)?
| 98 | |
| -384 | |
| -816 | |
| -128 |
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.)
7b(b - x)
7(2)(2 + 5)
7(2)(7)
(14)(7)
98