| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
Solve 5b - 7b = -6b - z - 6 for b in terms of z.
| 1\(\frac{5}{6}\)z - 1\(\frac{1}{2}\) | |
| \(\frac{6}{11}\)z - \(\frac{6}{11}\) | |
| \(\frac{6}{7}\)z - \(\frac{3}{7}\) | |
| 1\(\frac{1}{6}\)z + 1 |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
5b - 7z = -6b - z - 6
5b = -6b - z - 6 + 7z
5b + 6b = -z - 6 + 7z
11b = 6z - 6
b = \( \frac{6z - 6}{11} \)
b = \( \frac{6z}{11} \) + \( \frac{-6}{11} \)
b = \(\frac{6}{11}\)z - \(\frac{6}{11}\)
The dimensions of this cube are height (h) = 2, length (l) = 7, and width (w) = 4. What is the volume?
| 324 | |
| 168 | |
| 56 | |
| 270 |
The volume of a cube is height x length x width:
v = h x l x w
v = 2 x 7 x 4
v = 56
Which of the following statements about a triangle is not true?
area = ½bh |
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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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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.
What is 7a + 9a?
| a2 | |
| 63a2 | |
| 16a | |
| 63a |
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 = 16a
What is 9a - 9a?
| 18 | |
| 0a | |
| 81a | |
| 2 |
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.
9a - 9a = 0a