| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.93 |
| Score | 0% | 59% |
Solve -6b + 5b = 5b + 7x - 8 for b in terms of x.
| \(\frac{5}{9}\)x + \(\frac{1}{9}\) | |
| -\(\frac{2}{11}\)x + \(\frac{8}{11}\) | |
| -\(\frac{2}{3}\)x + 1\(\frac{2}{3}\) | |
| \(\frac{1}{4}\)x + 1\(\frac{1}{4}\) |
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.
-6b + 5x = 5b + 7x - 8
-6b = 5b + 7x - 8 - 5x
-6b - 5b = 7x - 8 - 5x
-11b = 2x - 8
b = \( \frac{2x - 8}{-11} \)
b = \( \frac{2x}{-11} \) + \( \frac{-8}{-11} \)
b = -\(\frac{2}{11}\)x + \(\frac{8}{11}\)
What is 5a - 6a?
| 30a2 | |
| -1a | |
| 30a | |
| 11 |
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.
5a - 6a = -1a
Simplify (4a)(9ab) - (2a2)(6b).
| -24ab2 | |
| 104ab2 | |
| 48a2b | |
| 24a2b |
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)(9ab) - (2a2)(6b)
(4 x 9)(a x a x b) - (2 x 6)(a2 x b)
(36)(a1+1 x b) - (12)(a2b)
36a2b - 12a2b
24a2b
What is the area of a circle with a radius of 2?
| 16π | |
| 4π | |
| 5π | |
| 6π |
The formula for area is πr2:
a = πr2
a = π(22)
a = 4π
If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
|
intersects |
|
midpoints |
|
bisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.