| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
Simplify (4a)(4ab) + (2a2)(7b).
| 72a2b | |
| -2a2b | |
| 30ab2 | |
| 30a2b |
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.
(4a)(4ab) + (2a2)(7b)
(4 x 4)(a x a x b) + (2 x 7)(a2 x b)
(16)(a1+1 x b) + (14)(a2b)
16a2b + 14a2b
30a2b
What is the area of a circle with a diameter of 4?
| 49π | |
| 9π | |
| 4π | |
| 2π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{4}{2} \)
r = 2
a = πr2
a = π(22)
a = 4π
Solve -5b + 2b = -8b - 6x - 7 for b in terms of x.
| -\(\frac{1}{3}\)x + \(\frac{2}{9}\) | |
| x + 9 | |
| \(\frac{12}{17}\)x + \(\frac{5}{17}\) | |
| -2\(\frac{2}{3}\)x - 2\(\frac{1}{3}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
-5b + 2x = -8b - 6x - 7
-5b = -8b - 6x - 7 - 2x
-5b + 8b = -6x - 7 - 2x
3b = -8x - 7
b = \( \frac{-8x - 7}{3} \)
b = \( \frac{-8x}{3} \) + \( \frac{-7}{3} \)
b = -2\(\frac{2}{3}\)x - 2\(\frac{1}{3}\)
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
|
factoring |
|
deconstructing |
|
squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
h x l x w |
|
2lw x 2wh + 2lh |
|
h2 x l2 x w2 |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.