| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
Solve for z:
6z + 1 > \( \frac{z}{6} \)
| z > 3\(\frac{9}{11}\) | |
| z > \(\frac{5}{8}\) | |
| z > \(\frac{2}{3}\) | |
| z > -\(\frac{6}{35}\) |
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 > sign and the answer on the other.
6z + 1 > \( \frac{z}{6} \)
6 x (6z + 1) > z
(6 x 6z) + (6 x 1) > z
36z + 6 > z
36z + 6 - z > 0
36z - z > -6
35z > -6
z > \( \frac{-6}{35} \)
z > -\(\frac{6}{35}\)
The dimensions of this cylinder are height (h) = 4 and radius (r) = 5. What is the surface area?
| 154π | |
| 44π | |
| 90π | |
| 240π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 4)
sa = 2π(25) + 2π(20)
sa = (2 x 25)π + (2 x 20)π
sa = 50π + 40π
sa = 90π
Which of the following statements about math operations is incorrect?
you can subtract monomials that have the same variable and the same exponent |
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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 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.
If the base of this triangle is 7 and the height is 4, what is the area?
| 40 | |
| 28 | |
| 14 | |
| 45 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 7 x 4 = \( \frac{28}{2} \) = 14
Simplify 2a x 5b.
| 10\( \frac{b}{a} \) | |
| 10a2b2 | |
| 7ab | |
| 10ab |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
2a x 5b = (2 x 5) (a x b) = 10ab