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1. Observe your classmates’ works on the Padlet.

2. Write your reactions on the following Google slides according to the prompts.

3. Explain in detail which element you are reacting to and from whose work it is.

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1. Watch all the videos in Assessment 1 section

2. Answer these questions in the comment. Include your name

Did you learn anything from these clips? If you did, what was it?

Was there something you didn’t understand about these clips? What was that?

3. You are encouraged to share any interesting thoughts with your classmates

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Form 1 | Mathematic | DLP | Algebraic Expressions

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Form 1 | Mathematic | DLP | Algebraic Expressions

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Form 1 | Mathematic | DLP | Algebraic Expressions

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KSSM Math F1 | Chapter 5 | What is Algebraic Term?

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KSSM Math F1 | Chapter 5 | Algebraic expression - How to determine the coefficient? #cikgootube

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KSSM Math F1 | Chapter 5 | What are like and unlike terms?  #cikgootube

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KSSM Math F1 | Chapter 5 | Algebraic Expressions (Introduction)

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Addition and Subtraction of Algebraic Expression

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Addition and Subtraction of Algebraic Expression

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KSSM Math F1 | Chapter 5 | Addition and Subtraction of algebraic expression #cikgootube

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15 Algebra Questions And Practice Problems

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15 Algebra Questions And Practice Problems

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Algebra questions involve using letters or symbols to represent unknown values or values that can change. Here you will find 15 algebra questions to test your knowledge and show you the different ways that algebra can be used to solve a problem to find an unknown value or to make generalisations.
Free GCSE maths revision resources for schools
As part of the Third Space Learning offer to schools, the personalised online GCSE maths tuition can be supplemented by hundreds of free GCSE maths revision resources from the secondary maths resources library including:
- GCSE maths past papers
- GCSE maths worksheets
- GCSE maths questions
- GCSE maths topic list

Algebra in KS3 and KS4

There are many topics and techniques within algebra. In KS3 we learn to write and manipulate basic algebraic expressions and linear equations. In KS4 we develop these techniques to allow us to deal with more complicated algebra problems such as ones that involve quadratic equations or a system of equations.

How to solve algebraic questions

When you are presented with an algebraic problem it is important to establish what you are being asked to do. Here are some of the key terms along with what they mean:

Solve the equation - find out the value of the unknown

Substitute - put the values you have been given into the algebraic expression

Simplify - collect together like terms to make the expression or equation look simpler

Expand brackets - multiply out the brackets

Factorise - put into brackets

Make x the subject - rewrite the equation in the form x =.....

Remember, when working with algebra, we must still apply BODMAS / BIDMAS. i.e. Brackets, Indices (powers, exponents, square roots), Division, Multiplication, Addition, Subtraction.

When working with algebraic expressions and equations we must consider carefully which operations to deal with first.

Algebra in KS2

The ideas of writing and simplifying expressions, solving equations and substitution are introduced in KS2. Here are some example KS2 algebra questions:

Algebra questions KS2

Algebra questions KS3

In KS3 we learn a variety of different algebra techniques to answer algebra questions and to practise problem solving with algebra. These include:

Simplifying algebraic expressions

Expanding brackets and factoring

Forming algebraic equations from word problems

Solving algebraic equations and inequalities

Substituting into expressions

Changing the subject of an equation

Working with real life graphs and straight line graphs

Sequences

You may also like:

Algebra questions KS3: basic algebra

Algebra questions KS3: forming and solving equations

Algebra questions KS3: graphs

Algebra questions KS4

Algebra is studied extensively in the GCSE and IGCSE curriculum.

In KS4 we build on the techniques learnt in KS3. Topics include:

Expanding and factorising polynomials

Solving quadratic equations

Solving simultaneous equations

Inequalities

Algebraic fractions

Further work on graphs

Functions

Algebra questions KS4: algebraic manipulation

Algebra questions KS4: forming and solving equations

Algebra questions KS4: graphs

Looking for more algebra questions and resources?

Third Space Learning's free GCSE maths resource library contains detailed lessons with step-by-step instructions on how to solve algebra problems, as well as worksheets with algebra practice questions and more GCSE exam questions.

Take a look at the Algebra lessons today - more are added every week.

Looking for more KS3 and KS4 maths questions?

Try these:

Read more: Question Level Analysis Of Edexcel Maths Past Papers (Foundation)

Do you have students who need extra support in maths?
Every week Third Space Learning's maths specialist tutors support thousands of students across hundreds of schools with weekly online 1-to-1 lessons and maths interventions designed to address learning gaps and boost progress.

Since 2013 we've helped over 150,000 primary and secondary students become more confident, able mathematicians. Learn more or request a personalised quote for your school to speak to us about your school's needs and how we can help.

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15 Algebra Questions And Practice Problems (KS3 & KS4): Harder GCSE Exam Style Questions Included

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15 algebra questions and practice problems for Year 7 to 11 to practice key skills and prepare for GCSE exam questions.

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Addition and Subtraction of Algebraic Expressions

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Addition and Subtraction of Algebraic Expressions

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Before we see how to add and subtract integers, we define terms and factors.

Terms and Factors

A term in an algebraic expression is an expression involving letters and/or numbers (called factors), multiplied together.

Example 1

The algebraic expression

5 x

is an example of one single term. It has factors 5 and x.

The 5 is called the coefficient of the term and the x is a variable.

Example 2

5 x + 3 y has two terms.

5 First term: x, has factors `5` and x

3 Second term: y, has factors `3` and y

The `5` and `3` are called the coefficients of the terms.

Example 3

The expression

`3x^2 - 7ab + 2esqrt(pi)`

has three terms.

First term: `3x^2` has factors `3` and x ²

Second term: `-7ab` has factors `-7`, a and b

Third Term: `2esqrt(pi)`; has factors `2`, `e`, and `sqrt(pi)`.

The `3`, `-7` and `2` are called coefficients of the terms.

Like Terms

"Like terms" are terms that contain the same variables raised to the same power.

Example 4

37 x x ² are ² and like terms.

Example 5

-8 x y ² are ² and 5 not like terms, because the variable is not the same.

Adding and Subtracting Terms

Important: We can only add or subtract like terms.

Why? Think of it like this. On a table we have 4 pencils and 2 books. We cannot add the 4 pencils to the 2 books - they are not the same kind of object.

We go get another 3 pencils and 6 books. Altogether we now have 7 pencils and 8 books. We can't combine these quantities, since they are different types of objects.

Next, our sister comes in and grabs 5 pencils. We are left with 2 pencils and we still have the 8 books.

Similarly with algebra, we can only add (or subtract) similar "objects", or those with the same letter raised to the same power.

Example 6

Simplify 13 x + 7 y − 2 x + 6 a

Answer

13 x + 7 y − 2 x + 6 a

The only like terms in this expression are `13x` and `-2x`. We cannot do anything with the `7y` or `6a`.

So we group together the terms we can subtract, and just leave the rest:

(13 x − 2 x) + 6 a + 7 y

= 6 a + 11 x + 7 y

We usually present our variables in alphabetical order, but it is not essential.

Example 7

Simplify −5[−2( m − 3 n) + 4 n]

Answer

Go back to Order of Operations if you are not sure what to do first with this question.

−5[−2( m − 3 n) + 4 n]

The square brackets [ ] work just the same as round brackets ( ). We could have used curly brackets { } here as well.

The first thing we do is expand out the round brackets inside.

−2( m − 3 n) = −2 m + 6 n

The negative times negative in the middle gives positive 6 n.

Now add the 4 n in the square brackets:

[−2 m + 6 n + 4 n] = [−2 m + 10 n]

Remembering the −5 out front, our problem has become:

−5[−2 m + 10 n] = 10 m − 50 n

Taking each term one at a time, what we did was:

−5 × −2 m = 10 m (Two negative numbers multiplied together give a positive); and

−5 × 10 n = −50 n (Negative times positive gives negative)

Go back to the section on Integers if you are not sure about multiplying with negative numbers.

So here's the answer:

−5[−2(= 10 m − 3 m − 50 n n) + 4 n]

Note:

The fancy name for round brackets ( ) is "parentheses".

The fancy name for square brackets [ ] is "box brackets".

The fancy name for curly brackets { } is "braces".

Example 8

Simplify −[7( a − 2 b) − 4 b]

Answer

−[7( a − 2 b) − 4 b]

= −[7 a − 14 b − 4 b]

= −[7 a − 18 b]

= −7 a + 18 b

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1. Addition and Subtraction of Algebraic Expressions

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This section explains how to add and subtract algebra expressions, with several examples.

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Addition and Subtraction Problem-Solving Challenge Cards

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Addition and Subtraction Problem-Solving Challenge Cards

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How to use these Subtraction and Addition Problem-Solving Cards

These Subtraction and Addition Problem-Solving Cards are a flexible tool to work with when testing children on their addition and subtraction skills. They can be used as a warm-up activity, as a mid-lesson activity, or even as a plenary task! Children can try to solve the cards individually, in pairs, or you can even pick a card to work out together as a class.

Each problem is written out in a clear and concise manner that is designed to be easy to understand for your young learners. Each card also has a fun, colourful illustration. Why not consider displaying some of these problem-solving cards on the wall of your classroom? It could be as part of a topic display, or in a way that allows children to solve the problems as bonus activities when they have finished their allotted task.

All of our printable resources are available in an ink-saving, eco-friendly format.

Are there any other similar resources available?

Yes, of course! If your young learners enjoyed these Subtraction and Addition Problem-Solving Cards, why not continue their learning with some of our other great subtraction and addition problem-solving resources? Take a look at these options:

To focus more heavily on subtraction, why not check out our Subtraction Word Problem Challenge Cards?

If you're looking for display materials related to this topic, then these Maths Signs and Vocabulary Posters are a brilliant option! Each poster contains various synonyms for the basic mathematical functions of addition, subtraction, multiplication and division. It may be helpful for children to have these posters as a reference point when they are working on longer written problems in their maths lessons.

For another lovely maths resource, try this Figure Me Out Maths Back to School Worksheet.

How to approach problem-solving with young learners

Firstly, it is important to make sure that young learners read the question properly. Emphasise the importance of reading and then rereading the problem. Next, you will need to figure out a plan to approach the problem. What are you being asked to do or to figure out? Once you have a plan, it is time to start solving! Do you need to draw or use a diagram to help? Lastly, make sure to check your work!

The above video is from a third-party source. We accept no responsibility for any videos from third-party sources. Please let us know if the video is no longer working.

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Addition and Subtraction Problem-Solving Challenge Cards

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These Subtraction and Addition Problem-Solving Cards are a flexible tool to work with when testing children on their addition and subtraction skills. They can be used as a warm-up activity, as a mid-lesson activity, or even as a plenary task!

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Worksheet on Addition and Subtraction of Algebraic Expressions

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Worksheet on Addition and Subtraction of Algebraic Expressions

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1) 7p + 6q, 5p - q, q + 16p

2) a + 5b + 7c, 2a + 10b + 9c

3) mn + t, 2mn - 2t, -3t + 3mn

4) u + v, u - v, 2u + 5v, 2u - 5v

5) 5xyz - 3xy, 3zxy - 5yx

Find the difference of the following expressions

1) 13x + 12y - 5 from 27x + 5y - 43

2) 3p + 5 from p - 2q + 7

3) m + n from 3m - 7n

4) 2y + z from 6z - 5y

Simplify the following expressions

1) (x + y - z) + (3x - 5y + 7z) - (14x + 7y - 6z)

2) p + p + 2 + p + 3 - p - 4 - p - 5 + p + 10

3) n + (m + 1) + (n + 2) + (m + 3) + (n + 4) + (m + 5)

5) (-0.25x - 3) - (1.5x + 1.4)

6) (5x - 3y + 4z) + (1.5x + 0.4y + 8)

7) (2a - 3b + c) - (4b - 3a + c)

Write the algebraic expressions for the following

1) Sum of x and twice y

2) Subtraction of z from y

3) Twice the sum of m and n

4) b is decreased by twice a

5) Sum of x squared and y squared

6) Two times the product of a and b divided by 5

7) Product of p and q added to 7

8) x more than two-thirds of y

9) Half a number x decreased by 3

10) Sum of numbers m and n decreased by their product

11) 4 times x less than sum of y and 6

12) Double the sum of one third of a and m.

Word problems on evaluating algebraic expressions

The cost C of hiring a squash court for h hours is given by

C = 12h + 5

dollars. Find the cost of hiring a court for :

a) 1 hour b) 30 mins c) 1 hour 15 mins.

The volume of water in a tank t minutes after a tap is switched on, is given by

V = 5000 - 20t liters.

a) Find V when t = 0. What does this mean?

b) Find the volume of water left in the tank after:

(i) 5 minutes (ii) 1 hour (iii) 3 1/2 hours.

To add the whole numbers from 1 to n we can use the formula

Use the formula to add all the whole numbers from 1 up to:

(i) 50 (ii) 200 (iii) 1000

Michelle has $2000 in a bank account. Each week she deposits a further $120.

a) Explain why the amount of money in her account after n weeks is given by

M = 2000 + 120n pounds.

b) How much money does she have in her bank account after :

(i) 3 weeks (ii) 6 months (iii) 1 1/2 years?

The cost C of hiring a room for a function is given by

C = 150 + 30g

euros where g is the number of guests. Find the cost of hiring the room for :

a) 20 guests b) 50 guests c) 90 guests

2) a) 5000 b) (i) 4900 liter (ii) 4980 liter (iii) 4930 liter

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

© All rights reserved. onlinemath4all.com

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Worksheet on Addition and Subtraction of Algebraic Expressions

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Worksheet on Addition and Subtraction of Algebraic Expressions

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Definition, Basics, Formulas & Solved Examples

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Definition, Basics, Formulas & Solved Examples

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Algebraic Expressions (Definition, Basics, Formulas & Solved Examples)

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Algebraic expressions are the mathematical equations consisting of variables, constants, terms and coefficients. Learn the different types of algebraic expressions with examples at BYJU’S.

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grade 7  free math games practice common core standards

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Practice simplifying variable expressions by adding and subtracting like terms.

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grade 7  free math games practice common core standards

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Unlock harder levels by getting an average of 80% or higher.

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Model and Solve Equations Using Algebra Tiles

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Model and Solve Equations Using Algebra Tiles

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Unlock harder levels by getting an average of 80% or higher.

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Simplify Variable Expressions Using Properties

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Simplify Variable Expressions Using Properties

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grade 7  free math games practice common core standards

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Simplify Variable Expressions Using Properties - Grade 7 - Practice with Math Games

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Practice simplifying variable expressions using properties.

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Simplify Variable Expressions - Grade 6 - Practice with Math Games

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Practice simplifying variable expressions with addition and multiplication.

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BBC Radio 4 Extra - A Brief History of Mathematics - Downloads

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Podcast downloads for A Brief History of Mathematics

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Welcome to the Mr Barton Maths podcast - Mr Barton Maths Podcast

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The Mr Barton Maths podcast features long-form conversations with inspirational people from the wonderful world of education

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Addition and Subtraction of Algebraic Expressions 

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Addition and Subtraction of Algebraic Expressions 

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1. Answer all 4 questions

2. Post the answer here (in PNG format). Be creative

3. Include your name

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What are Terms in Algebraic Expressions?

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What are Terms in Algebraic Expressions?

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What are Terms in Algebraic Expressions? | An Intro to Terms | Math with Mr. J

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Simplifying Algebraic Expressions with Parentheses: A Beginner’s Guide | Algebra | Math with Mr. J

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Simplifying Algebraic Expressions | Distributive Property & Combining Like Terms | Math with Mr. J

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Terms in Algebraic Expressions | Identifying, Counting, & Combining | Algebra | Math with Mr. J

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Algebraic expressions are the equations we get when operations such as addition, subtraction, multiplication, division, etc. are operated upon by any variable. For example, let us assume that James and Natalie were playing with matchsticks and thought of forming number patterns using them. James took four matchsticks and formed the number 4. Natalie added three more matchsticks to form a pattern with two 4's. They realized that they can keep on adding 3 matchsticks in each round to make one extra "four". From this, they concluded that they need 4+ 3(n-1) sticks, in general, to make a pattern with n number of 4's. Here, 4+ 3(n-1) is called an algebraic expression.

What are Algebraic Expressions?

An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc. For example, let us have a look at the expression 5x + 7. Thus, we can say that 5x + 7 is an example of an algebraic expression. There are different components of an algebraic expression. Let us have a look at the image given below in order to understand the concept of Variables, Constants, Terms, and Coefficients of any algebraic expression.

Variables, Constants, Terms, and Coefficients

In mathematics, a symbol that doesn't have a fixed value is called a variable. It can take any value. In the above example that involved matchsticks, n is a variable and in this case, it can take the values 1,2,3,... Some examples of variables in Math are a,b, x, y, z, m, etc. On the other hand, a symbol that has a fixed numerical value is called a constant. All numbers are constants. Some examples of constants are 3, 6, -(1/2), √5, etc. A term is a variable alone (or) a constant alone (or) it can be a combination of variables and constants by the operation of multiplication or division. Some examples of terms are 3x ², -(2y/3), √(5x), etc. Here, the numbers that are multiplying the variables are 3, -2/3, and 5. These numbers are called coefficients.

How to Simplify Algebraic Expressions?

To simplify an algebraic expression, we just combine the like terms. Hence, the like variables will be combined together. Now, out of the like variables, the same powers will be combined together. For example, let us take an algebraic expression and try to reduce it to its lowest form in order to understand the concept better. Let our expression be:

Hence, the algebraic expression x 3 + 3x 2 − 2x 3 + 2x − x 2 + 3 − x simplifies to −x 3 + 2x 2 + x + 3.

Algebraic Expression Formulas

Algebraic formulas are the derived short formulas that help us in solving the equations easily. They are just a rearrangement of the given terms in order to create a better expression that is easy to memorize. Find below a list of some of the basic formulas that are being used widely. Have a look at this page in order to understand the algebraic formulas better.

Types of Algebraic Expressions

The types of algebraic expressions are based on the variables found in that particular expression, the number of the terms of that expression, and the values of the exponents of the variables in each expression. Given below is a table that divides the algebraic expressions into five different categories. Let us have a look at the table.
Related Topics
Algebraic Expressions Examples
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FAQs on Algebraic Expressions

How do you Describe an Algebraic Expression?

An algebraic expression is described using its terms, and operations on the terms. For example, x + 3 can be described as "3 more than x". While a + b - 7 can be described as "7 less than the sum of a and b".

How Many Terms are There in an Algebraic Expression?

A term is a variable alone (or) a constant alone (or) it can be a combination of variables and constants by the operation of multiplication or division. We apply this definition to identify the terms in an algebraic expression. After we identify the terms, we can just count them.

Why are Algebraic Expressions Useful?

The algebraic expressions use variables (which take multiple multiples) in order to describe a real-life scenario. Instead of saying "The cost of 3 pens and 4 pencils", it is simple to say 3x+4y where x and y are the costs of each pen and pencil respectively. Also, writing a real-life scenario as an expression helps to perform mathematical calculations.

How do you Identify an Algebraic Expression?

An algebraic expression is a combination of variables and constants. However, no equalities should be present in it. Otherwise, it will become an algebraic equation.

How to Simply an Algebraic Expression?

To simplify an algebraic expression, we just combine the like terms and solve further to get a simplified form of the expression..

Is 7 an Algebraic Expression?

Yes, 7 is an algebraic expression, because it can be considered as a monomial.

What are Algebraic Expression and Equation?

An algebraic expression is any number, variable, or different operations combined together, while an equation is two different algebraic expressions combined together with an equal sign.

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Algebraic Expressions - Definition, Formulas, Examples

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Learn everything you need to know about algebraic expression with formulas, Activities, Solved Examples, Algebraic Expression Solver and more.

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Mathematics is known as the "Queen of Science". Algebra is a special branch of mathematics that deals with numbers, shapes and letters. We use concepts of mathematics everywhere, every day, almost in every situation. So far, we have used lots of numbers, lots of shapes and figures. Here, we are going to use some letters in math. Yes, it is algebra; let's learn more about it.

Expressions and Equations

Mathematics has been classified into many branches. Arithmetic is the branch that handles numbers and their operations. Arithmetic taught us addition, subtraction, multiplication and divisions of two or more numbers. Geometry is all about shapes and their construction using different tools like a compass, ruler and pencil. Algebra is another interesting branch where we express our daily life situations in numbers and letters (variables).

To understand algebra we need to know what an expression is and what an equation is.

Expression Definition

An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. For example, 4m + 5 is an expression where 4m and 5 are the terms and m is the variable of the given expression separated by the arithmetic sign +.

Variable is anything that varies; it doesn't have a fixed value. Generally, expression variables are represented by alphabetical letters like a, b, c, m, n, p, x, y, z, and so on. We can form a variety of expressions using a combination of different variables and numbers.
Also, check: Expression Term Factor and Coefficient
How to Simplify Algebraic Expressions?

The purpose of simplifying the algebraic expression is to find the simplified term of the given expression. To factorize or simplify the expression, we should first know how to combine the like terms, factor a number, order of operations. In combining like terms, the variables with the same degree are gathered together, and the constant terms are separated for the simplification process.

Expression Examples

Few examples of expressions are as follows:

Equation Definition

The equation is an expression where two sides are connected through an equal sign (=). 2x + 1 = 9 is an equation, where 2x+1 is the left-hand side (LHS) and 9 is the expression's right-hand side (RHS). The equal sign between LHS and RHS indicates that the value of LHS is equal to the RHS of the expression.

10x + 63 > 10, is not an equation. Here, the sign between LHS and RHS of the expression is not an equal sign. Hence, we can say every expression is not an equation. These kinds of expressions are called linear inequalities .

Click here to get more information about the .

Equation Examples

Few examples of equations are:

Note: An equation is interchangeable i.e. the equation remains the same even if LHS and RHS interchange each other.

Difference between Algebraic Expression and Equation

How to Solve Algebraic Equations?

An algebraic equation contains two algebraic expressions separated by an equal sign (=) in between. The primary purpose of solving algebraic equations is to find the unknown variable in the given expression. While solving the equation, separate the variable terms on one side and constant terms on another side. The variable term can be isolated using the various arithmetic operations such as addition, subtraction, multiplication, division, and other operations like finding square roots, etc.

Algebraic Expression and Equation Problem
Solution:
Question: Find the value of x in the given equation: 4x + 10 = 30

Given Equation: 4x + 10 = 30

Separate the variable and the constant term:

Keep the variable term on the left-hand side, and move the constant term on the right-hand side.

So, the given equation is written as:

4x = 30-10 [Performing subtraction operation]

4x = 20

x = 20/4 [Performing division operation]

x = 5.
Alternative Method:
Therefore, the value of x is 5.

Given equation is:

Subtracting 10 from both sides of the equation, we get;

4x + 10 - 10 = 30 - 10

Dividing both sides of equation by 4, we get;

To learn more about algebra and solve more problems on the topic, download BYJU'S -The Learning app and download the app to learn with ease.

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Algebra: Expressions And Equations - Definition and Examples

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Learn about algebra expressions and equations and learn how to solve algebraic expressions and equations. Visit BYJU'S to learn complete information.

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Difference Between Algebraic Expression and Equation

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Difference Between Algebraic Expression and Equation

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MR. MARTÍNEZ'S MATH VIRTUAL CLASSROOM - JH

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- Difference between algebraic expressions and algebraic equations
- Parts of an algebraic expression
- Term, variable, coefficient, constant
- Vocabulary used when writing algebraic expressions

An ALGEBRAIC EXPRESSION is a mathematical phrase that can contain numbers, variables (letters) and operation signs (add, subtract, multiplication, division ).

- The basic units of any algebraic expression are called TERMS. Terms are separated by operation signs. On the first example, there are 2 terms separated by a + (addition) sign. The second expression also has 2 terms separated by the - (subtraction) sign. IMPORTANT: The sign before a term belongs to that term. - A VARIABLE is a letter that represents one or more numbers. This means that the variable changes, or varies! On the first example, the is

n., whereas on the second example the variable is . Be aware that v ariables are written in italics so they are not confused with units of measurement.

- The CONSTANT term in algebraic expressions is the term that consists only of a number. This means that the constant is not attached to any variable, and therefore, it never changes.... the reason it's called the constant! On the first example, the constant is 2, and on the second example it is the -3.

- The COEFFICIENTS are all the numbers placed before the variables. They are related by multiplication, even if you don't directly see the multiplication sign. In the first example, the coefficient is 7, and on the second example it is 5.

REMEMBER: As explained, 7n means 7 times n. 5x means 5 times x.
NOTE: You can have more than 1 coefficient.

When in doubt, remember the RULE OF THUMB: Every expression MUST HAVE A CONSTANT, and every constant MUST HAVE A COEFFICIENT... even if you don't see them.. Look at this first example:

So if YOU DON'T SEE A COEFFICIENT IN FRONT OF A VARIABLE., it is still there (but hides). THE COEFFICIENT IS ALWAYS A 1

Let's look at the other special case. Remember, expressions must have coefficients and a constant.

Notice how this expression has only 1 term, and it doesn't have a constant. But it does! When you see an expression without a noticeable constant, it means THE CONSTANT IS 0.

To EVALUATE an algebraic expression, you have to SUBSTITUTE the given NUMBER for ALL VARIABLES. Once you substitute, you must perform the arithmetic operations following THE ORDER OF OPERATIONS (BEDMAS).

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Difference between algebraic expressions and algebraic equations - Parts of an algebraic expression - Term, variable, coefficient, constant - Vocabulary used when writing algebraic expressions

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How can you write and evaluate an expression that represents a real-life problem?

How can you write an expression that represents an unknown quantity?

How do you add and subtract fractions step by step?

Does the order in which you perform an operation matter?

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5.1 Variables and Algebraic Expression Variable: Definition A quantity whose value is unknown and not fixed, which can represent any...

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Addition and Subtraction of Algebraic Expressions Examples

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Addition and Subtraction of Algebraic Expressions Examples

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The four basic mathematics operations viz. addition, subtraction, multiplication, and division can also be performed on algebraic equations or expressions. The addition and subtraction of algebraic expressions are almost similar to the addition and subtraction of numbers. However, a combination of variables, constants, and operators constitutes an algebraic expression. But in the case of algebraic expressions, like terms and the unlike terms must be sorted together.

How to Add and Subtract Algebraic Expressions?

The knowledge of like and unlike terms is crucial while studying addition and subtraction of algebraic expressions because the operation of addition and subtraction can only be performed on like terms. The terms whose variables and their exponents are the same are known as like terms and the terms having different variables are unlike terms.

In the given algebraic expression, -5x ² and 7x ² are like since both the terms have x ² as the common variable. Similarly, 12xy and xy are like terms.

Addition of Algebraic Expressions

There are two methods to add and subtract algebraic expressions, namely the horizontal method and the vertical method. Let us understand these two methods along with the examples in detailed steps.
Horizontal Method
Step 1: Write the given algebraic expressions using an additional symbol.

Step 2: Open the brackets and multiply the signs.

Step 3: Now, combine the like terms.

Step 4: Add the coefficients. Keep the variables and exponents on the variables the same.
Column Method
In this method, the given expression must be written column-wise one below the other. For adding two or more algebraic expressions the like terms of both the expressions are grouped together. The coefficients of like terms are added together using simple addition techniques and the variable which is common is retained as it is. The unlike terms are retained as it is and the result obtained is the addition of two or more algebraic expressions.

We can arrange the terms of the given expressions in the same order to represent the result.

Subtraction of Algebraic Expressions

Similar to the addition of algebraic expressions, we can subtract algebraic expressions in two methods. Let's understand these two methods along with the example.
Example: Solution:
Let's solve this problem in two ways.

Horizontal Method:

Step 1: Write the given algebraic expressions using an additional symbol.

Step 2: Open the brackets and multiply the signs.

Step 3: Now, combine the like terms.

Step 4: Add the coefficients. Keep the variables and exponents on the variables the same.
Column Method:
For subtracting two or more algebraic expressions, it's a better practice to write the expressions to be subtracted below the expression from which it is to be subtracted. Like terms are placed below each other. The sign of each term which is to be subtracted is reversed and then the resulting expression is added normally.

In this way, we can add and subtract two or more expressions in either of the methods.

Practise Problems

To know more about algebraic expressions, download BYJU'S-The Learning App.

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Addition and Subtraction of Algebraic Expressions | Solved Examples

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Addition and Subtraction of Algebraic Expressions is almost similar to addition and subtraction of numbers. Learn how to perform the addition and subtraction of algebraic expressions with examples here at BYJU'S today!

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PT3 KSSM Mathematics Form 1 (Algebraic Expressions) Chapter 5 Complete Revision

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Algebraic Expressions Millionaire for Tablets and iPads

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Intro to Evaluating Algebraic Expressions

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Intro to Evaluating Algebraic Expressions

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Intro to Evaluating Algebraic Expressions | How to Evaluate Algebraic Expressions | Math with Mr. J