| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
Simplify (8a)(3ab) + (2a2)(6b).
| 88ab2 | |
| 88a2b | |
| 36a2b | |
| -12ab2 |
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.
(8a)(3ab) + (2a2)(6b)
(8 x 3)(a x a x b) + (2 x 6)(a2 x b)
(24)(a1+1 x b) + (12)(a2b)
24a2b + 12a2b
36a2b
If a = 8, b = 3, c = 8, and d = 9, what is the perimeter of this quadrilateral?
| 28 | |
| 21 | |
| 19 | |
| 22 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 8 + 3 + 8 + 9
p = 28
If angle a = 21° and angle b = 59° what is the length of angle c?
| 70° | |
| 93° | |
| 100° | |
| 53° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 21° - 59° = 100°
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
|
c2 + a2 |
|
a2 - c2 |
|
c2 - a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
What is 9a5 + 6a5?
| 15a5 | |
| 3 | |
| 54a10 | |
| 3a10 |
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.
9a5 + 6a5 = 15a5