| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.56 |
| Score | 0% | 71% |
Simplify (y + 7)(y - 5)
| y2 + 2y - 35 | |
| y2 - 12y + 35 | |
| y2 + 12y + 35 | |
| y2 - 2y - 35 |
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 - 5)
(y x y) + (y x -5) + (7 x y) + (7 x -5)
y2 - 5y + 7y - 35
y2 + 2y - 35
On this circle, line segment AB is the:
circumference |
|
diameter |
|
radius |
|
chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
If a = 5, b = 3, c = 4, and d = 5, what is the perimeter of this quadrilateral?
| 19 | |
| 17 | |
| 16 | |
| 22 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 5 + 3 + 4 + 5
p = 17
If a = c = 4, b = d = 5, what is the area of this rectangle?
| 42 | |
| 7 | |
| 20 | |
| 56 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 4 x 5
a = 20
If angle a = 21° and angle b = 23° what is the length of angle d?
| 141° | |
| 111° | |
| 159° | |
| 134° |
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° - 21° - 23° = 136°
So, d° = 23° + 136° = 159°
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° - 21° = 159°