| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
What is 2a - 2a?
| 4a2 | |
| 4 | |
| 0 | |
| 0a |
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 - 2a = 0a
What is 6a3 - 5a3?
| 30a3 | |
| 1 | |
| a36 | |
| 1a3 |
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.
6a3 - 5a3 = 1a3
Simplify (6a)(2ab) - (8a2)(4b).
| 96a2b | |
| 20ab2 | |
| 44a2b | |
| -20a2b |
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.
(6a)(2ab) - (8a2)(4b)
(6 x 2)(a x a x b) - (8 x 4)(a2 x b)
(12)(a1+1 x b) - (32)(a2b)
12a2b - 32a2b
-20a2b
What is the area of a circle with a radius of 5?
| 25π | |
| 16π | |
| 5π | |
| 4π |
The formula for area is πr2:
a = πr2
a = π(52)
a = 25π
If angle a = 70° and angle b = 65° what is the length of angle d?
| 155° | |
| 121° | |
| 110° | |
| 147° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 70° - 65° = 45°
So, d° = 65° + 45° = 110°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 70° = 110°