| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
A(n) __________ is two expressions separated by an equal sign.
expression |
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formula |
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equation |
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problem |
An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
If angle a = 46° and angle b = 69° what is the length of angle c?
| 72° | |
| 101° | |
| 104° | |
| 65° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 46° - 69° = 65°
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
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h x l x w |
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2lw x 2wh + 2lh |
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h2 x l2 x w2 |
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.
Solve -4a - 5a = -8a + 2x - 7 for a in terms of x.
| -\(\frac{8}{17}\)x - \(\frac{1}{17}\) | |
| x + \(\frac{3}{5}\) | |
| 1\(\frac{1}{7}\)x - 1\(\frac{2}{7}\) | |
| 1\(\frac{3}{4}\)x - 1\(\frac{3}{4}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
-4a - 5x = -8a + 2x - 7
-4a = -8a + 2x - 7 + 5x
-4a + 8a = 2x - 7 + 5x
4a = 7x - 7
a = \( \frac{7x - 7}{4} \)
a = \( \frac{7x}{4} \) + \( \frac{-7}{4} \)
a = 1\(\frac{3}{4}\)x - 1\(\frac{3}{4}\)
Which of the following statements about a triangle is not true?
perimeter = sum of side lengths |
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area = ½bh |
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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.