| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
Which of the following expressions contains exactly two terms?
binomial |
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monomial |
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polynomial |
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quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Which of the following statements about a triangle is not true?
area = ½bh |
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perimeter = sum of side lengths |
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exterior angle = sum of two adjacent interior angles |
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sum of interior angles = 180° |
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.
If angle a = 58° and angle b = 65° what is the length of angle d?
| 123° | |
| 122° | |
| 131° | |
| 111° |
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° - 58° - 65° = 57°
So, d° = 65° + 57° = 122°
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° - 58° = 122°
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
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rhombus |
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quadrilateral |
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trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Solve for b:
b2 - 10b + 5 = -5b - 1
| 9 or 8 | |
| 7 or 5 | |
| 7 or -2 | |
| 2 or 3 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
b2 - 10b + 5 = -5b - 1
b2 - 10b + 5 + 1 = -5b
b2 - 10b + 5b + 6 = 0
b2 - 5b + 6 = 0
Next, factor the quadratic equation:
b2 - 5b + 6 = 0
(b - 2)(b - 3) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 2) or (b - 3) must equal zero:
If (b - 2) = 0, b must equal 2
If (b - 3) = 0, b must equal 3
So the solution is that b = 2 or 3