| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
Solve for b:
4b + 5 = -6 - 4b
| \(\frac{1}{3}\) | |
| 1 | |
| 1\(\frac{1}{7}\) | |
| -1\(\frac{3}{8}\) |
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 equal sign and the answer on the other.
4b + 5 = -6 - 4b
4b = -6 - 4b - 5
4b + 4b = -6 - 5
8b = -11
b = \( \frac{-11}{8} \)
b = -1\(\frac{3}{8}\)
What is 2a - 4a?
| 6a2 | |
| 8a2 | |
| 6 | |
| -2a |
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.
2a - 4a = -2a
What is the area of a circle with a radius of 5?
| 25π | |
| 36π | |
| 8π | |
| 6π |
The formula for area is πr2:
a = πr2
a = π(52)
a = 25π
Simplify (2a)(2ab) + (4a2)(6b).
| 28ab2 | |
| 40ab2 | |
| 28a2b | |
| -20ab2 |
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.
(2a)(2ab) + (4a2)(6b)
(2 x 2)(a x a x b) + (4 x 6)(a2 x b)
(4)(a1+1 x b) + (24)(a2b)
4a2b + 24a2b
28a2b
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
|
factoring |
|
deconstructing |
|
normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.