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Definition of Algebraic Expressions:

 

In‌ ‌mathematics,‌ ‌an‌ ‌algebraic‌ ‌expression‌ ‌is‌ ‌a‌ ‌formula‌ ‌that‌ contains‌ ‌variables,‌ ‌constants,‌ ‌and‌ ‌algebraic‌ ‌operations‌ ‌(addition,‌ ‌subtraction,‌ ‌etc.).‌ ‌


Terms‌ ‌combine‌ ‌to‌ ‌form‌ ‌expressions.‌ ‌


Unknown‌ ‌variables,‌ ‌constants,‌ ‌and‌ ‌coefficients‌ ‌are‌ ‌used‌ ‌to‌ ‌illustrate‌ ‌these‌ ‌expressions.‌ ‌


An‌ ‌expression‌ ‌is‌ ‌defined‌ ‌as‌ ‌a‌ ‌combination‌ ‌of‌ ‌these‌ ‌three‌ ‌(as‌ ‌terms).‌

 

Top things to learn about algebraic expressions from the online tutor
 

  • Definition of Algebraic Expressions
  • Examples of Algebraic Expressions
  • Types of Algebraic Expressions
  • Formulas of Algebraic Expressions
  • How to Write Algebraic Expressions
  • The usefulness of Algebraic Expressions

 

Algebraic Expressions Frequently Asked Questions:

Question 1: How to simplify algebraic expressions?

To simplify algebraic expressions we follows following rules:
 

  • Rule 1: Multiplying factors will remove grouping symbols such as brackets and parentheses.
  • Rule 2: If any of the words contain exponents, use the exponent rule to eliminate grouping.
  • Rule 3: By adding or subtracting like terms, you can create new terms.
  • Rule 4: Add the constants together.

 

Question 2: How do you write algebraic expressions to model quantities ?

A variable is used to represent any unknown value. We check for crucial phrases that will tell us what operations were carried out.

"Sum" denotes addition, "product" denotes multiplication, "difference" denotes subtraction, and "quotient" denotes division."Is" is a synonym for "is equal to."

We pay close attention to the order in which items are mentioned in the problem because we want to write them algebraically in the same order.

Example:

Five more than 2 times a number is 23

The variable will be x.

2 times a number would be 2*x = 2x.

Five more than the number means five added to the number, which gives us 2x+5.

This "is" 23, so it equals 23:  2x+5=23.

 

Question 3: How to evaluate algebraic expressions?

 

To evaluate an expression, we first replace the provided number for the variable in the expression, and then use the sequence of operations to simplify expression.When an algebraic expression is evaluated, the value of the expression is determined by replacing the variable with a specified integer.


Example: 


2x + 5 = 23


2x = 23 - 5 = 18


x = 18/2 = 9

 

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