Problem 107 Identify the terms in each expre... [FREE SOLUTION]

Chapter 1: Problem 107

Identify the terms in each expression. $$ -7 x-4 y $$

Short Answer

Expert verified

The terms are -7x and -4y.

Step by step solution

Identify the Variables and Constants

Look at the expression: y on. The parts of the expression that contain variables (like x or y) are called terms. The constants (numbers) are coefficients of these terms if they are multiplied by variables.

List Each Term Separately

Separate each product of a coefficient and a variable as individual terms. In this case: -7x -4y

Determine the Terms

In the given expression, the terms are -7x -4y.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Variables

Variables are symbols that represent unknown or changeable values. They are usually denoted by letters such as x, y, or z. Variables allow us to write expressions and equations that can be solved for different values. For example, in the expression $-7x - 4y$, both x and y are variables. They stand in place of numbers that can change depending on the situation.

Constants

Constants are fixed numbers that do not change. They can be positive or negative. In algebraic expressions, constants are often combined with variables. For example, in the expression $-7x - 4y$, the coefficients are \-7\ and \-4\. These do not change because they attach directly to the variables. Constants provide the numerical part of terms in an algebraic expression.

Coefficients

Coefficients are the numerical parts of terms that have variables. They tell us how many times to add the variable. For example, in $-7x$, $-7$ is the coefficient. This means that $-7$ is multiplied by \x\. Similarly, in $-4y$, $-4$ is the coefficient. Coefficients can be positive or negative, depending on their sign in the expression.

Algebraic Expressions

An algebraic expression is a mathematical phrase that includes variables, constants, and coefficients. It represents a quantity and can contain multiple terms. For example, $-7x - 4y$ is an algebraic expression. The terms in an algebraic expression are separated by addition or subtraction operators. Each term can be a variable with a coefficient, a constant, or both.

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91影视

Identify the terms in each expression. $$ -7 x-4 y $$

Short Answer

Step by step solution

Identify the Variables and Constants

List Each Term Separately

Determine the Terms

Key Concepts

Variables

Constants

Coefficients

Algebraic Expressions

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