/*! 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 2 If \(x=2\) and \(y=1,\) then the... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 2

If \(x=2\) and \(y=1,\) then the value of \(x y\) is _______. A. \(\frac{1}{2}\) B.1 C. 2 D. 3

Short Answer

Expert verified
C. 2

Step by step solution

01

Identify the Given Values

The problem provides the values of two variables: - Let x = 2 - Let y = 1
02

Substitute the Values into the Expression

You need to find the value of the expression xy. Substitute the given values into the expression: - Replace x with 2- Replace y with 1
03

Perform the Multiplication

Multiply the substituted values: - x y = 2 * 1
04

Calculate the Result

Complete the multiplication to find the value of xy: - 2 * 1 = 2

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
Substitution is a fundamental concept in algebra and a basic operation in math. It involves replacing variables with their given values.
Let's use the given problem as an example: If we need to find the value of \(xy\) when \(x=2\) and \(y=1\), we start by substituting these values into the expression.
Here are the steps:
  • Identify the values of \(x\) and \(y\) from the problem.
  • Replace \(x\) in the expression with \(2\).
  • Replace \(y\) in the expression with \(1\).
By substituting these values, we change the initial expression \(xy\) into a number-based operation: \(2*1\). Substitution simplifies the problem and prepares it for further steps. This approach is widely used in solving algebraic problems and makes complex expressions manageable.
Multiplication
Multiplication is one of the core operations in math and is essential in evaluating expressions after substitution. It involves combining equal groups to find the total quantity. For instance, in our problem, after substituting \(x\) and \(y\) with their values, we get \(2*1\).
To multiply these numbers, follow these steps:
  • Write down the numbers next to each other: \(2\) and \(1\).
  • Multiply the first number by the second: \(2*1\).
  • Perform the calculation: \(2*1 = 2\).
The result of \(2*1\) is \(2\). Multiplication allows us to combine these values into a meaningful result. Remember, multiplication is a fast way to add equal groups, which, in algebra, helps evaluate expressions effectively.
Evaluating Expressions
Evaluating expressions means finding the value of an algebraic expression by performing all necessary operations. This often involves multiple steps, such as substitution and basic arithmetic operations like addition, subtraction, multiplication, and division.
Let's return to our problem, where we need to evaluate \(xy\) given \(x=2\) and \(y=1\).
The steps for evaluating the expression are:
  • Substitute \(x\) with \(2\) and \(y\) with \(1\).
  • Perform the multiplication: \(2*1\).
  • Calculate the result: \(2\).
Evaluating expressions helps transform abstract algebraic expressions into concrete numbers. It involves executing each step orderly, ensuring accurate and precise results. The skills gained by evaluating expressions are foundational for more advanced algebraic and mathematical operations.

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 each expression. $$ -10+x+4 x-7-4 x $$

Simplify each expression. $$ 100[0.06(x+5)] $$

In \(2000,\) the U.S. federal budget had a surplus of \(\$ 236\) billion. In \(2008,\) the federal budget had a deficit of \(\$ 455\) billion. Find the difference between the 2008 and the 2000 amounts.

Simplify each expression. $$ -2(3 r-4)-(6-r)+2 r-5 $$

A manufacturer has fixed costs of \(\$ 1000\) to produce widgets. Each widget costs \(\$ 5\) to make. The fixed cast to produce gadgets is \(\$ 750,\) and each gadget costs \(\$ 3\) to make . Write an expression for the cost to make \(x\) widgets. (Hint: The cost will be the sum of the fixed cost and the cost per item times the number of items.)
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Logic and Functions

Read Explanation

Geometry

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.