| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
Solve for c:
c2 - 8c + 16 = 0
| 7 or 6 | |
| 7 or -3 | |
| 6 or -9 | |
| 4 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 - 8c + 16 = 0
(c - 4)(c - 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, (c - 4) must equal zero:
If (c - 4) = 0, c must equal 4
So the solution is that c = 4
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
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h2 x l2 x w2 |
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lw x wh + lh |
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2lw x 2wh + 2lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
What is 7a8 + 9a8?
| -2a16 | |
| 16a8 | |
| a816 | |
| 63a16 |
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.
7a8 + 9a8 = 16a8
Which of the following statements about a triangle is not true?
exterior angle = sum of two adjacent interior angles |
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perimeter = sum of side lengths |
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area = ½bh |
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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 a = 1, b = 7, c = 2, and d = 2, what is the perimeter of this quadrilateral?
| 19 | |
| 14 | |
| 27 | |
| 12 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 1 + 7 + 2 + 2
p = 12