| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
|
equal angle |
|
right angle |
|
equal length |
A trapezoid is a quadrilateral with one set of parallel sides.
Simplify (y - 7)(y + 8)
| y2 - 15y + 56 | |
| y2 + 15y + 56 | |
| y2 - y - 56 | |
| y2 + y - 56 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 7)(y + 8)
(y x y) + (y x 8) + (-7 x y) + (-7 x 8)
y2 + 8y - 7y - 56
y2 + y - 56
If angle a = 36° and angle b = 34° what is the length of angle d?
| 130° | |
| 117° | |
| 124° | |
| 144° |
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° - 36° - 34° = 110°
So, d° = 34° + 110° = 144°
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° - 36° = 144°
Simplify (8a)(3ab) + (9a2)(9b).
| 198ab2 | |
| -57a2b | |
| 105a2b | |
| 105ab2 |
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) + (9a2)(9b)
(8 x 3)(a x a x b) + (9 x 9)(a2 x b)
(24)(a1+1 x b) + (81)(a2b)
24a2b + 81a2b
105a2b
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
|
quadrilateral |
|
triangle |
|
trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.