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Chapter 1: Problem 38

Translate to an algebraic expression. 11 increased by \(z\)

Short Answer

Expert verified
11 + z

Step by step solution

01

Identify the components

Recognize the two parts of the expression: '11' and 'increased by z'.
02

Understand 'increased by'

The phrase 'increased by' indicates addition. Therefore, '11 increased by z' means adding 11 and z.
03

Write the algebraic expression

Combine the components using the addition operation: 11 + z.

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Key Concepts

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

addition
In algebra, addition is one of the fundamental operations that we need to understand. It combines numbers or variables to form a new total. When we see phrases like 'increased by' or 'added to', it signals that we need to use the addition operation.
For example, in the exercise '11 increased by z', the term 'increased by' tells us that we should add 11 and z. We express this as an algebraic expression: 11 + z.
Knowing these keywords is essential since they help us determine the correct operation to apply when translating verbal phrases into algebraic expressions.
variables
A variable is a symbol, often a letter, that represents a number. Variables are essential in algebra because they allow us to write expressions in a general form that can apply to many different situations.
In our example, the variable is 'z'. This means z can be any number. We don't specify a particular value for z; it represents an unknown quantity.
When you see a problem containing 'z' or any other letter, remember that it stands for a value yet to be determined or given. Understanding this concept will help you manipulate and solve algebraic expressions more effectively.
translation into algebra
Translation into algebra involves converting words and phrases into mathematical symbols and expressions. This skill is crucial because it helps us solve real-world problems using algebra.
Let's break down the given example step by step:
  • First, identify the components of the phrase: '11' and 'increased by z'.
  • Next, recognize the mathematical operation indicated by the phrase 'increased by'.
  • Finally, combine these components using the correct operation. In this case, we add them together to get the expression: 11 + z.

By practicing translation, you'll become more familiar with different phrases and the corresponding algebraic operations, making it easier to tackle any math problem.

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Most popular questions from this chapter

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