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Chapter 2: Problem 60

Chandler is \(y\) years old. What expression represents his age 4 yr ago? 11 yr from now?

Short Answer

Expert verified
Chandler's age 4 years ago: \( y - 4 \). Chandler's age 11 years from now: \( y + 11 \).

Step by step solution

01

Identify the expression for his age 4 years ago

Chandler is currently represented by the variable \( y \). To find out how old Chandler was 4 years ago, we need to subtract 4 from his current age. So, the expression for his age 4 years ago is \( y - 4 \).
02

Identify the expression for his age 11 years from now

To find out how old Chandler will be 11 years from now, we need to add 11 to his current age. So, the expression for his age 11 years from now is \( y + 11 \).
03

Combine both expressions

We have two expressions: for his age 4 years ago \( y - 4 \) and for 11 years from now \( y + 11 \). Both are valid expressions to represent Chandler's age at different times.

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Key Concepts

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

Variable Representation
In algebra, variables are symbols used to represent numbers or values that can change. These symbols are typically letters like x, y, or z. In our exercise, Chandler's current age is expressed by the variable \( y \).
  • Variables help simplify the representation of problems, making it easier to manipulate and solve algebraic expressions.
  • They serve as placeholders, which allows us to perform operations without knowing the exact numerical value.
For example, if Chandler's current age is \( y \), we can use this variable to represent his age 4 years ago or 11 years from now through algebraic operations.
Subtraction in Algebra
Subtraction in algebra involves taking a number away from a variable expression. It's an important operation that helps in determining past values or reducing quantities.
  • To identify Chandler's age 4 years ago, we subtract 4 from his current age \( y \).
  • The expression \( y - 4 \) represents his age 4 years ago.
By understanding how to subtract in algebra, students can solve similar problems where they need to find a value from a previous time period.
Addition in Algebra
Addition in algebra involves adding a number to a variable expression. This operation is useful for projecting future values or calculating increases.
  • To determine Chandler's future age, we add 11 to his current age \( y \).
  • The expression \( y + 11 \) represents his age 11 years from now.
By mastering addition in algebra, students can accurately find future values and understand the increase over time.

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Most popular questions from this chapter

Two of the most watched episodes in television were the final episodes of \(M^{*} A^{*} S^{*} H\) and Cheers. The total number of viewers for these two episodes was about 92 million, with 8 million more people watching the \(M^{*} A^{*} S^{*} H\) episode than the Cheers episode. How many people watched each episode? (Data from Nielsen Media Research.)

Find two consecutive odd integers such that twice the greater is 17 more than the lesser.

The United States earned 121 medals at the 2016 Summer Olympics. The number of silver medals earned was 1 fewer than the number of bronze medals. The number of gold medals earned was 8 more than the number of bronze medals. How many of each kind of medal did the United States earn? (Data from The World Almanac and Book of Facts.)

U.S. five-cent coins are made from a combination of nickel and copper. For every \(1 \mathrm{lb}\) of nickel, 3 lb of copper are used. How many pounds of each metal would be needed to make 560 lb of five-cent coins? (Data from The United States Mint.)

In one day, a store sold \(\frac{2}{3}\) as many DVDs as Blu-ray discs. The total number of DVDs and Blu-ray discs sold that day was \(280 .\) How many DVDs were sold?
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