| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.67 |
| Score | 0% | 53% |
Simplify (4a)(5ab) - (8a2)(3b).
| 4ab2 | |
| 99ab2 | |
| 44ab2 | |
| -4a2b |
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)(5ab) - (8a2)(3b)
(4 x 5)(a x a x b) - (8 x 3)(a2 x b)
(20)(a1+1 x b) - (24)(a2b)
20a2b - 24a2b
-4a2b
The endpoints of this line segment are at (-2, 6) and (2, 0). What is the slope of this line?
| -2 | |
| -1\(\frac{1}{2}\) | |
| 3 | |
| -2\(\frac{1}{2}\) |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 6) and (2, 0) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)The formula for the area of a circle is which of the following?
c = π r |
|
c = π r2 |
|
c = π d |
|
c = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
What is 8a - 4a?
| 12a2 | |
| 4a | |
| a2 | |
| 32a2 |
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.
8a - 4a = 4a
If angle a = 56° and angle b = 25° what is the length of angle d?
| 125° | |
| 124° | |
| 134° | |
| 129° |
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° - 56° - 25° = 99°
So, d° = 25° + 99° = 124°
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° - 56° = 124°