/*! 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 37 Translate to an algebraic expres... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 37

Translate to an algebraic expression. 6 increased by \(q\)

Short Answer

Expert verified
6 + q

Step by step solution

01

Understand the Problem

The phrase '6 increased by q' means that 6 is added to the variable q. Understanding terms like 'increased by' will help in identifying the right algebraic operation.
02

Identify the Variables and Constants

In this problem, 6 is a constant number and q is a variable.
03

Determine the Operation

The term 'increased by' suggests addition. Thus, the operation involved here is addition.
04

Write the Algebraic Expression

Combine the constant and the variable using the addition operation. The algebraic expression is: 6 + q

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.

Addition in Algebra
In algebra, understanding how to perform addition with variables and constants is essential. This process is just like arithmetic addition, but it includes letters that represent numbers.

When we talk about addition in algebra, we're often combining numbers (constants) and letters (variables). For instance, in the expression `6 + q`, the `6` is a constant, and `q` is a variable. Here, the `+` symbol tells us to add the two together.

Some key points to remember:
  • Addition is commutative: This means that `a + b` is the same as `b + a`.
  • When adding constants to variables, just write them side by side: `6 + q`.
  • Understand common phrases: 'increased by', 'added to', 'plus' all indicate addition.
Remember these points to simplify your understanding of how addition works in algebra.
Variables and Constants
In algebra, we frequently use variables and constants. Knowing their differences and roles is fundamental.

**Variables**:
  • Represent unknown values.
  • Can change or vary.
  • Usually represented by letters (e.g., `x`, `y`, `q`).
**Constants**:
  • Are fixed values.
  • Do not change.
  • Typically are numbers (e.g., `2`, `3`, `6`).
In the expression `6 + q`:
  • `6` is a constant; its value is fixed.
  • `q` is a variable; its value can change depending on the problem context.
Understanding these helps in forming and solving algebraic expressions correctly.
Translating Phrases to Expressions
One of the key skills in algebra is translating verbal phrases into algebraic expressions. It allows us to solve real-world problems mathematically.

Let's break down the phrase '6 increased by q':
  • '6' is the number we start with.
  • 'increased by' indicates addition.
  • 'q' is the variable we add to 6.
Putting it all together, we get the expression `6 + q`.

When translating phrases to expressions, focus on these steps:
  • Identify the constants and variables.
  • Determine the operation (addition, subtraction, etc.) from the keywords.
  • Combine them into a single expression.
These steps make it easier to create accurate algebraic expressions from verbal descriptions.

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

Write a true sentence using either \(<,>,\) or \(=\). $$|-5| \square|-2|$$

Simplify. \(5 t-\\{7 t-[4 r-3(t-7)]+6 r\\}-4 r\)

Simplify using a calculator. Round your answer to the nearest thousandth. $$ \frac{2.5^{2}-10 \cdot 12 \div(-1.5)}{(3+5)^{2}-60} $$

Evaluate. $$ 9-4 x, \text { for } x=5 $$

Simplify. $$ 2 a+5 a-(6 a+8) $$
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation

Decision 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.