| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.92 |
| Score | 0% | 58% |
The dimensions of this trapezoid are a = 4, b = 6, c = 7, d = 3, and h = 2. What is the area?
| 18 | |
| 9 | |
| 22\(\frac{1}{2}\) | |
| 16 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(6 + 3)(2)
a = ½(9)(2)
a = ½(18) = \( \frac{18}{2} \)
a = 9
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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you can multiply monomials that have different variables and different exponents |
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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 |
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:
7b - 2 = -1 - 3b
| \(\frac{1}{10}\) | |
| 1 | |
| \(\frac{7}{8}\) | |
| -\(\frac{4}{7}\) |
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.
7b - 2 = -1 - 3b
7b = -1 - 3b + 2
7b + 3b = -1 + 2
10b = 1
b = \( \frac{1}{10} \)
b = \(\frac{1}{10}\)
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
|
h x l x w |
|
2lw x 2wh + 2lh |
|
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.
Find the value of c:
-7c + y = 1
-2c - 6y = -2
| -1\(\frac{13}{37}\) | |
| -1 | |
| \(\frac{17}{25}\) | |
| -\(\frac{1}{11}\) |
You need to find the value of c so solve the first equation in terms of y:
-7c + y = 1
y = 1 + 7c
then substitute the result (1 - -7c) into the second equation:
-2c - 6(1 + 7c) = -2
-2c + (-6 x 1) + (-6 x 7c) = -2
-2c - 6 - 42c = -2
-2c - 42c = -2 + 6
-44c = 4
c = \( \frac{4}{-44} \)
c = -\(\frac{1}{11}\)