| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.63 |
| Score | 0% | 73% |
Which of the following expressions contains exactly two terms?
quadratic |
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binomial |
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polynomial |
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monomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Solve for b:
9b - 8 = \( \frac{b}{-5} \)
| -2\(\frac{2}{3}\) | |
| \(\frac{5}{8}\) | |
| \(\frac{20}{23}\) | |
| \(\frac{9}{11}\) |
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.
9b - 8 = \( \frac{b}{-5} \)
-5 x (9b - 8) = b
(-5 x 9b) + (-5 x -8) = b
-45b + 40 = b
-45b + 40 - b = 0
-45b - b = -40
-46b = -40
b = \( \frac{-40}{-46} \)
b = \(\frac{20}{23}\)
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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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 add 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.
What is 3a8 - 5a8?
| -2 | |
| -2a8 | |
| a816 | |
| 15a16 |
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.
3a8 - 5a8 = -2a8
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.