| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.85 |
| Score | 0% | 77% |
Simplify (y + 8)(y + 6)
| y2 - 2y - 48 | |
| y2 + 2y - 48 | |
| y2 + 14y + 48 | |
| y2 - 14y + 48 |
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 + 8)(y + 6)
(y x y) + (y x 6) + (8 x y) + (8 x 6)
y2 + 6y + 8y + 48
y2 + 14y + 48
A right angle measures:
45° |
|
360° |
|
180° |
|
90° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
If a = 4, b = 5, c = 8, and d = 8, what is the perimeter of this quadrilateral?
| 13 | |
| 18 | |
| 22 | |
| 25 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 4 + 5 + 8 + 8
p = 25
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Odd |
|
First |
|
Inside |
|
Last |
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.
If angle a = 27° and angle b = 56° what is the length of angle d?
| 126° | |
| 160° | |
| 150° | |
| 153° |
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° - 27° - 56° = 97°
So, d° = 56° + 97° = 153°
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° - 27° = 153°