/*! 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 60 Evaluate each expression if \(a=... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 60

Evaluate each expression if \(a=6, b=10,\) and \(c=3\) $$a+19$$

Short Answer

Expert verified
The expression evaluates to 25.

Step by step solution

01

Substitute Given Values

Start by substituting the given value for \(a\) into the expression. The expression is \(a + 19\), and we know that \(a = 6\). Substitute \(6\) in place of \(a\), giving us \(6 + 19\).
02

Perform the Addition

Now, add the numbers together. You have \(6 + 19\). Calculate this by adding 6 and 19, which equals 25.
03

State the Final Result

After performing the addition, the final value of the expression \(a + 19\) is 25. Therefore, when \(a = 6\), the expression evaluates to 25.

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.

Substitution in Prealgebra
Substitution is a fundamental concept in prealgebra that allows us to replace variables with given values. This is done to simplify and solve mathematical expressions.
For example, if you have an expression like \(a + 19\) and you are told that \(a = 6\), you substitute the value of \(a\) with 6, transforming the expression to \(6 + 19\).
This process makes it easier to handle the expressions because it reduces the problem to basic arithmetic. Remember that every variable in the expression needs to be substituted with its corresponding value to solve it correctly.
Understanding Addition
Addition is one of the most basic arithmetic operations and is essential when solving expressions. It involves combining two or more numbers to produce a single sum.
When you encounter an expression like \(6 + 19\), the goal is to find the sum by adding two numbers. You start with the first number, which is 6, and add the second number, 19.
This results in a sum of 25. It helps to line up the numbers, either vertically or mentally, to ensure accuracy. Addition is straightforward, but it forms the backbone of more complex mathematical concepts.
Breaking Down Expressions
Expressions in mathematics consist of numbers, variables, and operation symbols. Understanding them is crucial in solving equations. An expression like \(a + 19\) is an algebraic expression. It combines a variable and a number through the addition operation.
By looking at each part of the expression, you can determine how substitution and arithmetic operations will change its value. In our case, substituting \(a\) with 6 turned the expression into a simple arithmetic problem.
Always carefully check the structure of the expression before starting your computations to improve accuracy during the process.
Evaluation of Expressions
Evaluation is the step where you calculate the final value of an expression after any substitutions have been made. To evaluate means to "calculate" the potential solution.
In the given example, once the variable \(a\) was substituted with 6, the expression became \(6 + 19\). Then, we evaluated it by adding the two numbers to arrive at 25.
Evaluating expressions helps verify the correctness of your work in math problems. Double-checking each step, especially in prealgebra, ensures that your calculations are error-free and that you鈥檝e arrived at the correct solution.

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

Evaluate each expression if \(f=-9, g=-6,\) and \(h=8\). $$2 g h$$

Evaluate each expression if \(a=0, b=3,\) and \(c=-4\) $$a b+|-40|$$

Order the integers in each set from least to greatest. $$$(41,-14,50,-23,-20)$

Find each sum. $$-10+8+4$$

Evaluate each expression if \(a=-2, b=-6,\) and \(c=14\). $$c-a+b$$
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

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.