| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
Which of the following statements about math operations is incorrect?
you can multiply monomials that have different variables and different exponents |
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you can add monomials that have the same variable and the same exponent |
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you can subtract monomials that have the same variable and the same exponent |
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all of these statements are correct |
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.
What is 3a3 + 2a3?
| 5a3 | |
| a36 | |
| 6a6 | |
| 6a3 |
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.
3a3 + 2a3 = 5a3
A right angle measures:
45° |
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180° |
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90° |
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360° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Solve for a:
4a - 2 > \( \frac{a}{-2} \)
| a > \(\frac{4}{9}\) | |
| a > -1\(\frac{17}{37}\) | |
| a > \(\frac{8}{19}\) | |
| a > \(\frac{5}{9}\) |
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.
4a - 2 > \( \frac{a}{-2} \)
-2 x (4a - 2) > a
(-2 x 4a) + (-2 x -2) > a
-8a + 4 > a
-8a + 4 - a > 0
-8a - a > -4
-9a > -4
a > \( \frac{-4}{-9} \)
a > \(\frac{4}{9}\)
What is the circumference of a circle with a diameter of 1?
| 15π | |
| 5π | |
| 18π | |
| 1π |
The formula for circumference is circle diameter x π:
c = πd
c = 1π