/*! 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 66 List the terms in each expressio... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 66

List the terms in each expression. $$ 3 x y+20+\frac{4 a}{b} $$

Short Answer

Expert verified
The terms are \[3xy\], \[20\], and \[\frac{4a}{b}\].

Step by step solution

01

Identify Each Term

A term in an expression is a single part of the expression that can be a number, a variable, or the product of numbers and variables. Look at the given expression: \[3xy + 20 + \frac{4a}{b}\] The terms in this expression are separated by the plus signs. Identify each part separated by the plus signs.
02

Write Down the First Term

The first term in our expression is \[ 3xy\] since this is the part of the expression that comes before the first plus sign.
03

Write Down the Second Term

Next, identify the part of the expression that comes after the first plus sign but before the next plus sign, which is \[20\].
04

Write Down the Third Term

Finally, identify the part of the expression that comes after the second plus sign, which is \[\frac{4a}{b}\].

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.

Terms
In algebra, a term is a single mathematical expression that can be a single number, a variable, or a combination of both multiplied together. Terms are the building blocks of algebraic expressions. For example, in the expression \(3xy + 20 + \frac{4a}{b}\), there are three terms:
  • \(3xy\)
  • \(20\)
  • \(\frac{4a}{b}\)

Each term is separated by plus or minus signs. Understanding how to identify and work with terms is critical for simplifying expressions and solving algebraic equations.
Variables
Variables are symbols that represent unknown or changeable values. They are usually denoted by letters such as \(x\), \(y\), or \(a\). In the expression \(3xy + 20 + \frac{4a}{b}\), the variables are:
  • \(x\)
  • \(y\)
  • \(a\)
  • \(b\) (appearing in the denominator)

Variables allow us to generalize mathematical problems and form equations to solve for their unknown values. They play a crucial role in algebra since they enable the representation of mathematical relationships and functions.
Constants
Constants are fixed values that do not change. Unlike variables, constants have a specific value. In the expression \(3xy + 20 + \frac{4a}{b}\), the constant is:
  • \(20\)

Numbers by themselves are always constants. They provide a reference point in algebraic expressions. Even when combined with variables, constants help define the nature of the expression or equation.
Fractions
A fraction is a way of expressing a number that is not whole. Fractions consist of a numerator (the top part) and a denominator (the bottom part). In the expression \(3xy + 20 + \frac{4a}{b}\), \(\frac{4a}{b}\)\ is a fraction where:
  • \(4a\) is the numerator
  • \(b\) is the denominator

Fractions can involve both constants and variables. Working with fractions in algebra typically involves understanding how to add, subtract, multiply, and divide them. Recognizing and simplifying fractions is essential for solving many algebraic problems.

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

Simplify. $$ \frac{7^{2}-(-1)^{5}}{3-2 \cdot 3^{2}+5} $$

Evaluate. $$ -30 \div t(t+4)^{2}, \text { for } t=-6 $$

Evaluate using a calculator. $$ (t+4)^{2}-12 \div(19-17)+68, \text { for } t=5 $$

Simplify. $$ 8 n^{2}-3 n+2\left(n-4 n^{2}\right) $$

Simplify. Match the algebraic expression with the equivalent rewritten expression below. Check your answer by calculating the expression by hand and by using a calculator. A) \((5(3-7)+4 \wedge 3) /(-2-3)^{2}\) B) \((5(3-7)+4 \wedge 3) /\left(-2-3^{2}\right)\) C)\((5(3-7)+4) \wedge 3 /-2-3^{2}\) D) \(5(3-7)+4 \wedge 3 /(-2-3)^{2}\) $$ \frac{5(3-7)+4^{3}}{(-2-3)^{2}} $$
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Mechanics Maths

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.