| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
What is 4a5 - 3a5?
| 1a5 | |
| 12a5 | |
| a10 | |
| 7a10 |
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.
4a5 - 3a5 = 1a5
The dimensions of this cylinder are height (h) = 6 and radius (r) = 4. What is the volume?
| 96π | |
| 512π | |
| 144π | |
| 24π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(42 x 6)
v = 96π
Solve for b:
b2 + 5b - 36 = 0
| 4 or -9 | |
| -1 or -7 | |
| 1 or -3 | |
| -1 or -5 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 + 5b - 36 = 0
(b - 4)(b + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 4) or (b + 9) must equal zero:
If (b - 4) = 0, b must equal 4
If (b + 9) = 0, b must equal -9
So the solution is that b = 4 or -9
The dimensions of this cube are height (h) = 7, length (l) = 8, and width (w) = 6. What is the surface area?
| 34 | |
| 82 | |
| 292 | |
| 148 |
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 8 x 6) + (2 x 6 x 7) + (2 x 8 x 7)
sa = (96) + (84) + (112)
sa = 292
Simplify (y + 9)(y + 6)
| y2 - 15y + 54 | |
| y2 + 15y + 54 | |
| y2 - 3y - 54 | |
| y2 + 3y - 54 |
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 + 9)(y + 6)
(y x y) + (y x 6) + (9 x y) + (9 x 6)
y2 + 6y + 9y + 54
y2 + 15y + 54