| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
Simplify (4a)(6ab) + (7a2)(9b).
| 39ab2 | |
| -39a2b | |
| 160ab2 | |
| 87a2b |
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)(6ab) + (7a2)(9b)
(4 x 6)(a x a x b) + (7 x 9)(a2 x b)
(24)(a1+1 x b) + (63)(a2b)
24a2b + 63a2b
87a2b
If a = 5, b = 5, c = 6, and d = 2, what is the perimeter of this quadrilateral?
| 22 | |
| 19 | |
| 16 | |
| 18 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 5 + 5 + 6 + 2
p = 18
If the base of this triangle is 1 and the height is 9, what is the area?
| 4\(\frac{1}{2}\) | |
| 40 | |
| 77 | |
| 15 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 1 x 9 = \( \frac{9}{2} \) = 4\(\frac{1}{2}\)
If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
|
bisects |
|
intersects |
|
midpoints |
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.
If angle a = 31° and angle b = 20° what is the length of angle d?
| 139° | |
| 160° | |
| 153° | |
| 149° |
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° - 31° - 20° = 129°
So, d° = 20° + 129° = 149°
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° - 31° = 149°