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- What is Algebra
- Algebra in Every Day life
- Basic algebraic terms
- Solving methods for algebra
- Linear, non-linear equations
- Algebra Formulae
- Commutative Associative laws
- Distance Formula
- Foil Method
- Midpoint Formula
- Parantheses Rules
- Quadrartic Equation
- Quadratic Formula
- Polynomial Operations
- Polynomial Addition
- Polynomial Subtraction
- Polynomial Multiplication
- Polynomial Long Division
- Graphs of Polynomial functions

## Algebra in Everyday Life

We use algebra quite frequently in our everyday lives, and without even realizing it! We not only use algebra, we actually need algebra, to solve most of our problems that involves calculations.

## Examples of using algebra in everyday life

Here are some simple examples that demonstrate the relevance of algebra in the real world.

## Going shopping

`(text(10 items))/(text (3 items/bag))` = `3.33` bags ≈ `4 bags `, explanation :.

We use simple algebraic formula `x/y` to calculate the number of bags.

x = Number of items purchased = 10

`10/3` = `3.33` bags ≈ `4` bags

So,we need 4 shopping bags to put 10 items.

## Calculating grocery expense

The figure below shows the three items in different shapes and colors.

This will help your mind to calculate faster.

We will use algebra to solve the problem easily and quickly.

a = Price of two dozen eggs = $10

c = Price of one bottle of juice= $8

=> Money needed = $10 + 3($5) + 5($8) = $10 + $15 + $40 = $65

## Filling up the gas tank

We use simple algebraic formula,`x/y` to calculate the total gallons that can be bought.

y = Price of 1 gallon of gas= $3

So, with $15 we can buy 5 gallons of gas.

## Word problems

## Find three consecutive numbers whose sum is 216.

The task is to find three consecutive numbers whose total is 216.

Let "`x`" represent the first number

When you add up all the numbers, you are supposed to get 216

First number + Second number + Third number = 216

So the three numbers whose sum is 216 are 71, 72 and 73

## A group of 5 boys goes to the theatre for an evening show. The total cost of ticket is $55 and popcorn is $25. What is the cost per person?

Let’s say, `x` = cost of ticket/person and `y` = cost of popcorn/person

If 5 tickets cost $55, then cost of one ticket is,

If 5 bags of popcorn cost $25, then the cost of each bag is,

Total cost of the movie (ticket + popcorn) per person = `x + y `

Cost of ticket/person + Cost of popcorn/person = Total cost

If we add up 16 five times (since there are 5 boys), the result is,

## The area of a rectangle is 72`cm^2`, in which the width is twice its length. What is the dimension of the rectangle?

the length is 6 cm and the width is 12 cm.

Let "`x`" be the length and "`2x`" be the width

The length is 6 cm and width is 12 cm

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Have you ever wondered how Algebra may be applied to solve real-life problems?

## What is Algebra?

## Algebraic Expression

Thus we observe that every new column increases by 1 marble. We can write the representation as

The number of marbles used in a column =

the number of marbles used in a column = n + 1.

- The temperature in different places also change.
- The height of a growing child changes with time.
- The speed of a car changes with time.
- The age of people keeps on increasing year by year.

## Constant

## Framing algebraic expressions with given conditions

Let the number of storybooks Alex has = y

Therefore the number of storybooks Amanda has = y + 10

Let x be the total number of sweets.

Therefore, the number of sweets in one box is = x/10

## Solving Equations

Consider a situation from our daily life.

A table is prepared as shown below for various values of x:

It is clear from the table that x + 5 = 20 only for x = 15. So, the cost of the pen is £15.

algebraic equation, whereas 3x > 10 or 4x < 12 are not equations.

## Solving an equation using the Principle of Balances

Consider the balance given in the figure.

## Solve using the principle of balances:

Benjamin’s mother's age 3x = 39

3x/3 = 39/3 {Dividing by 3 on both the sides }

## Forming an equation to find the unknown

The question requires x + y + z = 100 [ 1 ]

Let’s vary x the number of footballs and see what we get:

y + z =99 and y + z/ 4 = 83z/4 = 14 3z = 56 z = 56/3 which is not a whole number.

Trying for x = 2 also fails and now

If x = 3, then z = 97 and y + z / 4 = 55 3z/4 =42 3z= 168 z = 168/3 = 56 which is a whole number!

And if z = 56 then y = 97 - z = 97 - 56 = 41

So the set of balls Uma buys is { 3 footballs, 41 cricket balls and 56 table tennis balls }

## Algebra in Geometry

## Algebra in Computer Programming

## Example for the task of inference

It is represented in First-order logic as

If another sentence found in the knowledge base is as follows:

It is represented as Likes( John, ice cream)

Biostatistics University of Florida

## Algebra in Real Life

Source: Artificial Intelligence by Stuart Russell

agree with the adaptability of algebra.

## Real-World Applications of Linear Algebra

## Applications

utilizing linear algebra, and this uniqueness starts to expose a lot of applications.

Written by Jesy Margaret, Cuemath teacher

## About Cuemath

## 13 Examples Of Algebra In Everyday Life

Let’s look into the examples of algebra in everyday life.

## 1. Early Life

## 2. Professional Advancement

## 3. Morning Routine

## 4. Making It To The Trash Can

## 5. Business & Finance Management

## 8. Technology

## 9. Logical Thinking

## 10. Home Improvement

## 11. Health & Fitness

## 12. Outdoor Landscaping

## Image Sources

- pngtree.com/
- thoughtco.com/
- demmelearning.com/
- fossbytes.com/
- timely-api-public.s3.us-west-2.amazonaws.com/
- math.utk.edu/
- i.ytimg.com/
- isdc.edu.in/
- cdn.photos.sparkplatform.com/
- household-decoration.com/
- d2ebzu6go672f3.cloudfront.net/
- bluehaven.com/

## Related Posts

## 7 Examples of Median in Daily Life

I believe that these are ratios used in kitchen not Algebra.

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## Praxis Core Math

Course: praxis core math > unit 1.

- Algebraic properties | Lesson
- Algebraic properties | Worked example
- Solution procedures | Lesson
- Solution procedures | Worked example
- Equivalent expressions | Lesson
- Equivalent expressions | Worked example
- Creating expressions and equations | Lesson
- Creating expressions and equations | Worked example

## Algebraic word problems | Lesson

- Algebraic word problems | Worked example
- Linear equations | Lesson
- Linear equations | Worked example
- Quadratic equations | Lesson
- Quadratic equations | Worked example

## What are algebraic word problems?

- Translating sentences to equations
- Solving linear equations with one variable
- Evaluating algebraic expressions
- Solving problems using Venn diagrams

## How do we solve algebraic word problems?

- Define a variable.
- Write an equation using the variable.
- Solve the equation.
- If the variable is not the answer to the word problem, use the variable to calculate the answer.

## What's a Venn diagram?

- Your answer should be
- an integer, like 6 6 6 6
- a simplified proper fraction, like 3 / 5 3/5 3 / 5 3, slash, 5
- a simplified improper fraction, like 7 / 4 7/4 7 / 4 7, slash, 4
- a mixed number, like 1 3 / 4 1\ 3/4 1 3 / 4 1, space, 3, slash, 4
- an exact decimal, like 0.75 0.75 0 . 7 5 0, point, 75
- a multiple of pi, like 12 pi 12\ \text{pi} 1 2 pi 12, space, start text, p, i, end text or 2 / 3 pi 2/3\ \text{pi} 2 / 3 pi 2, slash, 3, space, start text, p, i, end text
- (Choice A) $ 4 \$4 $ 4 dollar sign, 4 A $ 4 \$4 $ 4 dollar sign, 4
- (Choice B) $ 5 \$5 $ 5 dollar sign, 5 B $ 5 \$5 $ 5 dollar sign, 5
- (Choice C) $ 9 \$9 $ 9 dollar sign, 9 C $ 9 \$9 $ 9 dollar sign, 9
- (Choice D) $ 14 \$14 $ 1 4 dollar sign, 14 D $ 14 \$14 $ 1 4 dollar sign, 14
- (Choice E) $ 20 \$20 $ 2 0 dollar sign, 20 E $ 20 \$20 $ 2 0 dollar sign, 20
- (Choice A) 10 10 1 0 10 A 10 10 1 0 10
- (Choice B) 12 12 1 2 12 B 12 12 1 2 12
- (Choice C) 24 24 2 4 24 C 24 24 2 4 24
- (Choice D) 30 30 3 0 30 D 30 30 3 0 30
- (Choice E) 32 32 3 2 32 E 32 32 3 2 32
- (Choice A) 4 4 4 4 A 4 4 4 4
- (Choice B) 10 10 1 0 10 B 10 10 1 0 10
- (Choice C) 14 14 1 4 14 C 14 14 1 4 14
- (Choice D) 18 18 1 8 18 D 18 18 1 8 18
- (Choice E) 22 22 2 2 22 E 22 22 2 2 22

## Things to remember

Want to join the conversation.

## 13 Common Examples & Applications of Algebra in Real Life

Last Updated on February 24, 2022 by Editorial Team

## Common examples & applications of algebra use in daily life

## 1. Catch the ball game played by 4-5-year-old kids

## 2. Making a schedule of activities

## 3. Preparing the food or doubling or halving the recipe

## 4. A kid developing spatial intelligence

## 5. Finding the tax liability

## 6. Astrological calculations

## 7. Technological developments

## 8. Budgeting

## 9. Shopping

## 10. Doing Interiors and Landscape designing

## 11. Computer Programming

## 12. Real Estate Project Planning

## 13. Professional Sports

## Wrapping Up,

## Leave a Comment Cancel reply

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## IMAGES

## VIDEO

## COMMENTS

Examples of using algebra in everyday life · Going shopping · Calculating grocery expense · Filling up the gas tank · Word problems · Find three consecutive numbers

An emergency plumber charges $65 as a call-out fee plus an additional $75 per hour. He arrives at a house at 9:30 and works to repair a water

An unknown number and three is equal to twelve. · John had a pile of golf balls. · Some number and six is equal to thirty. · Jessieowes her brother

Other real-world applications of linear algebra include ranking in search engines, decision tree induction, testing software code in software engineering

Discover more at www.ck12.org: http://www.ck12.org/algebra/Applications-of-One-Step-Equations/Here you'll learn how to apply arithmetic

For a copy of the notes, vocabulary, and interactive activities, visit me at https://www.teacherspayteachers.com/Store/Simplify-The-Middle.

13 Examples Of Algebra In Everyday Life · 1. Early Life · 2. Professional Advancement · 3. Morning Routine · 4. Making It To The Trash Can · 5. Business & Finance

Define a variable. · Write an equation using the variable. · Solve the equation. · If the variable is not the answer to the word problem, use the variable to

Common examples & applications of algebra use in daily life · 1. Catch the ball game played by 4-5-year-old kids · 2. Making a schedule of

Whenever you are faced with a math problem, for instance when you have to solve an equation or work out a geometrical problem, algebra is