| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
2lw x 2wh + 2lh |
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h x l x w |
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h2 x l2 x w2 |
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lw x wh + lh |
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.
Which of the following statements about math operations is incorrect?
you can add monomials that have the same variable and the same exponent |
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all of these statements are correct |
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you can subtract monomials that have the same variable and the same exponent |
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you can multiply monomials that have different variables and different exponents |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
Solve for b:
b2 + 4b - 5 = 0
| 1 or -5 | |
| -2 or -5 | |
| 5 or 2 | |
| 9 or 7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 + 4b - 5 = 0
(b - 1)(b + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 1) or (b + 5) must equal zero:
If (b - 1) = 0, b must equal 1
If (b + 5) = 0, b must equal -5
So the solution is that b = 1 or -5
Solve for z:
-6z + 3 = \( \frac{z}{7} \)
| \(\frac{3}{4}\) | |
| -1\(\frac{1}{5}\) | |
| \(\frac{21}{43}\) | |
| -7\(\frac{7}{8}\) |
To solve this equation, 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.
-6z + 3 = \( \frac{z}{7} \)
7 x (-6z + 3) = z
(7 x -6z) + (7 x 3) = z
-42z + 21 = z
-42z + 21 - z = 0
-42z - z = -21
-43z = -21
z = \( \frac{-21}{-43} \)
z = \(\frac{21}{43}\)
What is 8a9 - 6a9?
| a918 | |
| 14 | |
| 14a18 | |
| 2a9 |
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.
8a9 - 6a9 = 2a9