/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 11 List the terms and identify each... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Problem 11

List the terms and identify each term as a variable term or a constant term. $$8+9 a$$

Short Answer

Expert verified
Terms: 8 (constant), 9a (variable)

Step by step solution

01

Identify and List Terms

An algebraic expression like \(8+9a\) consists of terms separated by addition or subtraction signs. Here, the terms are \(8\) and \(9a\).
02

Identify the Constant Term

A constant term does not contain any variables. In this expression, \(8\) is the constant term.
03

Identify the Variable Term

A variable term contains at least one variable. In this expression, \(9a\) is the variable term.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

Constant Terms
In algebra, constant terms are the numbers that stand alone without any variables attached to them. They do not change because they are not multiplied or divided by any variable. Constant terms can be positive or negative numbers; they are simple and straightforward.
For example, in the expression \(8 + 9a\), the number \(8\) is a constant term because it does not have any variable (like \(a\)) linked to it.
Key Points to Remember:
  • Constant terms are just regular numbers, without any variables.
  • They do not change value; they remain constant.
  • In expressions, they are usually separated by plus or minus signs.
Understanding this concept is important because it helps you simplify and solve algebraic expressions more easily.
Variable Terms
Variable terms are the parts of an algebraic expression that include variables. A variable is a symbol, often a letter like \(a\) or \(x\), that represents a number we do not yet know.
Variable terms can also include coefficients, which are numbers multiplied by the variables. For example, in \(9a\), the number \(9\) is the coefficient and \(a\) is the variable. This entire term \(9a\) is known as a variable term.
Here's how you can spot a variable term:
  • Look for terms that contain letters (variables like \(x, y, z\), etc.).
  • These terms may include coefficients (numbers in front of variables).
  • Variable terms change value when the variable changes.
Recognizing variable terms helps in solving equations and understanding how different parts of an expression interact.
Identifying Terms in Algebra
To work effectively with algebra, you need to know how to identify different terms in an expression. Terms in an algebraic expression are separated by plus (+) or minus (鈭�) signs.
Here are the steps to identify terms and whether they are constant or variable:
  • Break down the expression by looking for + or 鈭� signs.
    For example, in the expression \(8 + 9a\), the plus sign separates the expression into two terms: \(8\) and \(9a\).
  • Check each term separately:
    • If a term has only a number and no variables (like \(8\)), it is a constant term.
    • If a term includes variables (like \(9a\)), it is a variable term.
Let's practice with another expression:
In \(5x - 3\), the expression separates into two terms: \(5x\) and \(-3\). Here, \(5x\) is the variable term and \(-3\) is the constant term.
These steps help simplify your approach to algebra and make it easier to solve problems confidently.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Determine if the two terms are like terms or unlike terms. If they are unlike terms, explain why. $$17,17 y$$

Solve the equation using the multiplication or division properties of equality. $$-h=-17$$

Clear parentheses and combine like terms. $$5(t-6)+2$$

Solve the equation. $$-8 w+8+3 w=2-6 w+2$$

a. write an equation that represents the given statement. b. solve the problem. Six less than a number is the same as 3 more than twice the number.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Pure Maths

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.