Answer: A. There are three terms
Concept:
In an algebraic expression, there are several specific terms:
- Constant: the individual number that has no variable with it, or in east word, it is isolated.
- Variable: any unknown value, which is usually presented by alphabets.
- Coefficients: the numbers that are bounded with a variable, usually in front of a variable.
- Terms: the number of individuals present in the expression, which is constants and [variable + coefficients].
- Like terms: terms that have the same variables and powers.
If you are still confused, you may refer to the attachment below for a graphical explanation.
Solve:
a. There are three terms.
- 14b
- -7
- 8b
- b
There are in total four individuals, which means there are four terms.
b. There is one constant term.
- 14b is a [variable + coefficient]
- -7 is a [constant]
- 8b is a [variable + coefficient]
- b is a [variable]
Therefore, there is one constant term.
c. The coefficients are 14, 8, and 1
- 14b →→→ 14 is the [coefficient]
- -7 →→→ is a [constant]
- 8b →→→ 8 is the [coefficient]
- b →→→ 1 is the [coefficient]
Therefore, 14, 8, and 1 are coefficients.
d. Three of the terms are like terms
- 14b →→→ b is the [variable]
- -7 →→→ is a [constant]
- 8b →→→ b is the [variable]
- b →→→ b is the [variable]
Since 14b, 8b, and b share the common variable, there are three like terms.
Hope this helps!! :)
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