| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.63 |
| Score | 0% | 73% |
Simplify (y + 4)(y - 7)
| y2 - 11y + 28 | |
| y2 - 3y - 28 | |
| y2 + 11y + 28 | |
| y2 + 3y - 28 |
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 + 4)(y - 7)
(y x y) + (y x -7) + (4 x y) + (4 x -7)
y2 - 7y + 4y - 28
y2 - 3y - 28
A quadrilateral is a shape with __________ sides.
3 |
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2 |
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5 |
|
4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
If a = 6, b = 8, c = 4, and d = 5, what is the perimeter of this quadrilateral?
| 23 | |
| 18 | |
| 15 | |
| 25 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 6 + 8 + 4 + 5
p = 23
If angle a = 69° and angle b = 35° what is the length of angle d?
| 137° | |
| 132° | |
| 111° | |
| 158° |
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° - 69° - 35° = 76°
So, d° = 35° + 76° = 111°
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° - 69° = 111°
Which of the following is not true about both rectangles and squares?
the perimeter is the sum of the lengths of all four sides |
|
the lengths of all sides are equal |
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all interior angles are right angles |
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the area is length x width |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).