Describe the parts of this algebraic expression using the lessons vocabulary

-x+10.2-1/2x+y

Vocabulary Words:

Algebraic Expression

Coefficient

Constant

Like terms

Numerical expression

Variable

Respuesta :

Sample Response:

The algebraic expression has one constant, 10.2, which is a number by itself. The variables, which are letters that stand for unknown values, are x and y. The coefficients, which are numbers that are multiplied to the variables, are

-1, -1/2, and 1. The terms that have an x are like terms.

The given mathematical expression is combined by various parts.

The names are:

  • -1 is coefficient of variable x
  • 10.2 is a constant
  • -1/2 is coefficient of variable x
  • 1 is coefficient of variable y
  • That given expression is algebraic expression
  • And -x and -1/2 x are like terms

What are variables?

Those symbols whose value can vary(change, sometimes unknown to us thus possible to pertain one of multiple values)

What are constants?

They are of fixed value like 2, 4.4 etc.

What is coefficient?


If a constant is in multiplication with a variable, then such constant is called coefficient of that variable.

What is algebraic expression?

An algebraic expression is a mathematical expression obtainable by algebraic operations, variables and integers.

What are like terms?

In an algebraic expression, the terms containing same variables with same power are called like terms.

Rewriting the given equation:

[tex]-x + 10.2 -\dfrac{1}{2}x + y = -1 \times x + 10.2 -\dfrac{1}{2} \times x + y[/tex]

Thus, we have:

  • -1 is coefficient of variable x
  • 10.2 is a constant
  • -1/2 is coefficient of variable x
  • 1 is coefficient of variable y
  • That given expression is algebraic expression
  • And -x and -1/2 x are like terms

Learn more about variables, coefficients and constants here:

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