| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.58 |
| Score | 0% | 72% |
Which of the following expressions contains exactly two terms?
binomial |
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polynomial |
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monomial |
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quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Find the value of b:
3b + y = 6
-2b - 2y = -3
| 1\(\frac{1}{4}\) | |
| -3 | |
| 2\(\frac{1}{4}\) | |
| \(\frac{31}{36}\) |
You need to find the value of b so solve the first equation in terms of y:
3b + y = 6
y = 6 - 3b
then substitute the result (6 - 3b) into the second equation:
-2b - 2(6 - 3b) = -3
-2b + (-2 x 6) + (-2 x -3b) = -3
-2b - 12 + 6b = -3
-2b + 6b = -3 + 12
4b = 9
b = \( \frac{9}{4} \)
b = 2\(\frac{1}{4}\)
What is 4a - 4a?
| 16a2 | |
| 0a | |
| a2 | |
| 16a |
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.
4a - 4a = 0a
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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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 4a + 8a?
| -4 | |
| 32a2 | |
| 12 | |
| 12a |
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.
4a + 8a = 12a