| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
The dimensions of this cube are height (h) = 9, length (l) = 1, and width (w) = 4. What is the surface area?
| 184 | |
| 98 | |
| 162 | |
| 38 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 1 x 4) + (2 x 4 x 9) + (2 x 1 x 9)
sa = (8) + (72) + (18)
sa = 98
Which of the following expressions contains exactly two terms?
polynomial |
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quadratic |
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monomial |
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binomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
If angle a = 56° and angle b = 24° what is the length of angle d?
| 124° | |
| 120° | |
| 125° | |
| 155° |
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° - 56° - 24° = 100°
So, d° = 24° + 100° = 124°
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° - 56° = 124°
What is 7a - 9a?
| -2a | |
| 63a | |
| 63a2 | |
| 16 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
7a - 9a = -2a
Which of the following is not true about both rectangles and squares?
the area is length x width |
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the perimeter is the sum of the lengths of all four sides |
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all interior angles are right angles |
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the lengths of all sides are equal |
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).