| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
Simplify (y + 9)(y + 8)
| y2 - 17y + 72 | |
| y2 + 17y + 72 | |
| y2 + y - 72 | |
| y2 - y - 72 |
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 + 9)(y + 8)
(y x y) + (y x 8) + (9 x y) + (9 x 8)
y2 + 8y + 9y + 72
y2 + 17y + 72
If a = 6, b = 6, c = 5, and d = 2, what is the perimeter of this quadrilateral?
| 19 | |
| 20 | |
| 25 | |
| 24 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 6 + 6 + 5 + 2
p = 19
If side a = 6, side b = 3, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{20} \) | |
| \( \sqrt{73} \) | |
| \( \sqrt{45} \) | |
| \( \sqrt{68} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 62 + 32
c2 = 36 + 9
c2 = 45
c = \( \sqrt{45} \)
If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
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bisects |
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intersects |
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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.
Which of the following statements about a triangle is not true?
sum of interior angles = 180° |
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exterior angle = sum of two adjacent interior angles |
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perimeter = sum of side lengths |
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area = ½bh |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.