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what is equivalent algebraic expression

by Dr. Conor Hyatt Published 3 years ago Updated 2 years ago

Equivalent Expressions Calculator

1 Algebraic Expression:
2 Equivalent Expression:
3 How To Find Equivalent Expressions?
4 What is the purpose of an expression?
5 How are operations and expressions relat ...
Jun 11 2022

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s). Examples.

Full Answer

How do you write equivalent expressions?

  • Commutative Property of Addition. 6 + 9=9 + 6.
  • Commutative Property of Multiplication. 4 x 7=7 x 4.
  • Associative Property of Addition. (3 + 6) +1 = 3 + (6+1)
  • Associative Property of Multiplication. (5 x 9) x 2=5 x (9 x 2)
  • Additive Identity. 5 + 0 = 5.
  • Multiplicative Identity.
  • Multiplication Property of Zero.

How do you find equivalent expressions?

To solve equivalent equations, follow these five steps:

  1. Use the distributive property, if necessary.
  2. Combine like terms on the same side of the equal sign, if needed.
  3. Collect the variable being solved for on the same side of the equation.

How to find equivalent expressions?

Which expressions are equivalent to 2 4f 2g choose 3 answers?

  • Answer:
  • Option (a) and (d) are correct .
  • An equivalent expression to the given expression 2 (4f + 2g) is 8f + 4g.
  • and 4 (2f + g)
  • Step-by-step explanation:
  • Thus, an equivalent expression to the given expression 2 (4f + 2g) is 8f + 4g and 4 (2f + g)

Which expressions are equivalent to 90 60W?

Two algebraic expressions are said to be equivalent if their values obtained by substituting the values of the variables are same. To represent equivalent expressions an equality (=) sign is used. 3 (x + 2) and 3x + 6 are equivalent expressions because the value of both the expressions remains the same for any value of x.

What is equivalent expression and example?

An equivalent expression is an expression that has the same value or worth as another expression, but does not look the same. An algebraic example of equivalent expressions is: 2(2x - 3y + 6) is equivalent to 4x -6y + 12.

How do you know if an algebraic expression is equivalent?

Two expressions are equivalent if they can be simplified to the same third expression or if one of the expressions can be written like the other. In addition, you can also determine if two expressions are equivalent when values are substituted in for the variable and both arrive at the same answer.

What does it mean by equivalent expression?

Equivalent expressions are expressions that have the same value. Writing equivalent expressions can make them easier to work with and solve. For example, these two expressions are equivalent.

How do you solve equivalent algebraic expressions?

0:003:41How to find equivalent expressions - YouTubeYouTubeStart of suggested clipEnd of suggested clipFirst you will use the distributive property on the left. Then you'll combine all the like terms onMoreFirst you will use the distributive property on the left. Then you'll combine all the like terms on the left. Then you will use the distributive property on the right.

How do you write equivalent equations?

Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation. Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation....For example, these three equations are equivalent to each other:3 + 2 = 5.4 + 1 = 5.5 + 0 = 5.

How do you create equivalent expressions?

0:472:44Generating Equivalent Expressions Distributive Property (CO.6.2.1.c)YouTubeStart of suggested clipEnd of suggested clipSo we're going to multiply 7 times 3 is 21 and this Y is going to come along for the ride. So theMoreSo we're going to multiply 7 times 3 is 21 and this Y is going to come along for the ride. So the equivalent expression that we generated in this case by using a distributive property is 49 plus 21y.

How do you write an algebraic expression?

5:006:41Writing Algebraic Expressions (One Operation) | Math with Mr. JYouTubeStart of suggested clipEnd of suggested clipSo let's use a number next to our variable remember that represents multiplication so 21g representsMoreSo let's use a number next to our variable remember that represents multiplication so 21g represents 21 times g lastly number eight the quotient of 46. And x now quotient is our keyword.

What does equivalent mean in math fractions?

the same valueEquivalent fractions are fractions that represent the same value, even though they look different. For example, if you have a cake, cut it into two equal pieces, and eat one of them, you will have eaten half the cake.

What is an equivalent expression calculator?

Equivalent Expression Calculator is a free online tool that displays the equivalent expressions for the given algebraic expression. BYJU'S online equivalent expression calculator tool makes the calculations and simplification faster and it displays the equivalent expression in a fraction of seconds.

How do you simplify equivalent expressions?

0:472:24Equivalent Expressions And Simplifying - YouTubeYouTubeStart of suggested clipEnd of suggested clipWe can combine this X - this X and this X. Which is a total of 3x. And we can combine 4 + 2 which isMoreWe can combine this X - this X and this X. Which is a total of 3x. And we can combine 4 + 2 which is a total of 6. And 3x plus 6 is not equal to 2x + 6 thereby eliminating choice C as well.

How do you find equivalent expressions with fractions?

1:212:52Equivalent Forms of Algebraic Fractions - YouTubeYouTubeStart of suggested clipEnd of suggested clipWe have to do is multiply straight across 5 times X 5 X 3 times 1/3. And then we have 5 x over 3 theMoreWe have to do is multiply straight across 5 times X 5 X 3 times 1/3. And then we have 5 x over 3 the second expression we have 1/3.

How do you find the equivalent expressions with given denominators?

0:573:05Write Equivalent Rational Expression With Given Denominator - YouTubeYouTubeStart of suggested clipEnd of suggested clip5x times X minus 2 and in the denominator. We get 5x squared that is what was needed correct. SoMore5x times X minus 2 and in the denominator. We get 5x squared that is what was needed correct. So that is how we write equivalent rational expressions with any given denominator right.

How can you write equivalent expressions?

Equivalent expressions can be written using numbers, grouping symbols, and mathematical operations. They can be written using variables, constants...

What is an equivalent expression?

An equivalent expression is an expression that has the same value or worth as another expression, but does not look the same. An algebraic example...

What is an example of an equivalent expression?

An example of an equivalent expression is to think about money. There is more than one representation of twenty-five cents. A quarter, 2 dimes an...

How do you identify equivalent expressions?

Equivalent expressions can be identified by using the distributive property, combining like terms, factoring, or by substituting the same value for...

What is equivalent equation?

Equivalent equations are algebraic equations that have identical solutions or roots. Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation. Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.

Can you use equivalent equations in everyday life?

You can use equivalent equations in daily life. It's particularly helpful when shopping. For example, you like a particular shirt. One company offers the shirt for $6 and has $12 shipping, while another company offers the shirt for $7.50 and has $9 shipping.

Is the second set of equations equivalent?

To answer the question, you could apply the same principles to the second set of equations to solve for "x" and "y" to find that yes, they are indeed equivalent. It's easy to get bogged down in the algebra, so it's a good idea to check your work using an online equation solver .

Identifying Equivalent Algebraic Expressions

Step 1: Rewrite the algebraic expressions by fully distributing anything that needs distributing and combining like terms.

Identifying Equivalent Algebraic Expressions - Vocabulary

Equivalent Algebraic Expressions: Two algebraic expressions are called equivalent if the result of substituting any value in for the variables are equivalent. Equivalent algebraic expressions are different ways of expressing the same information.

Example Problem 1: Identifying Equivalent Algebraic Expressions

For the given expression, select one correct equivalent expression from the options.

Example Problem 2: Identifying Equivalent Algebraic Expressions

For the given expression, select one correct equivalent expression from the options.

What is an algebraic expression based on the number of variables?

Algebraic Expressions Based on the Number of Variables It Contains. 1. With One Variable: It is an algebraic expression with one variable only. Example: etc. 2. With Two Variables: It is an algebraic expression with two variables only. Example: etc. 3.

How are algebraic expressions categorised?

The Algebraic Expressions are mainly categorised in three ways: (i) based on the number of the terms they contain. (ii) based on the highest degree of the terms. (iii) based on the number of variables it contains.

What is a quadrinomial?

Quadrinomial: An algebraic expression containing four terms is known as quadrinomial. Example: etc., are quadrinomials. 5. Polynomials: A expression containing two or more terms is known as a polynomial. It includes Binomials, Trinomials, Quadrinomials, and all the Algebraic expressions with five or more terms.

What are terms in algebraic expressions?

In an algebraic expression, a term may consist of only constant, only one variable, product of two or more variables, a product of both the variable and the constant part. The terms may be positive or negative. Example: are terms.

What is a variable in math?

Variable. Any quantity whose value changes in the given subject (or boundary) of discussion is called a variable. Example: Conventionally are used as variables. Note: Usually the small letters are used as variables and are used as constants. But, at times the letters are also used as variables also.

Is algebraic expression difficult?

With the introduction of Algebra in Class 6, it becomes difficult for students to understand the various concepts. We at Embibe will help you make the learning process easy and smooth. In this article, we will explain algebraic expressions, their definition, different types of algebraic expressions, parts of the expressions, etc. along with solved examples.

Linear Equations with One Variable

Image
The simplest examples of equivalent equations don't have any variables. For example, these three equations are equivalent to each other: 1. 3 + 2 = 5 2. 4 + 1 = 5 3. 5 + 0 = 5 Recognizing these equations are equivalent is great, but not particularly useful. Usually, an equivalent equation problem asks you to solve for a variable to …
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Example

  • Putting these rules into practice, determine whether these two equations are equivalent: 1. x + 2 = 7 2. 2x + 1 = 11 To solve this, you need to find "x" for each equation. If "x" is the same for both equations, then they are equivalent. If "x" is different (i.e., the equations have different roots), then the equations are not equivalent. For the first equation: 1. x + 2 = 7 2. x + 2 - 2 = 7 - 2 (subtractin…
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Practical Equivalent Equations

  • You can use equivalent equations in daily life. It's particularly helpful when shopping. For example, you like a particular shirt. One company offers the shirt for $6 and has $12 shipping, while another company offers the shirt for $7.50 and has $9 shipping. Which shirt has the best price? How many shirts (maybe you want to get them for friends) would you have to buy for the price to be the sa…
See more on thoughtco.com

Equivalent Equations with Two Variables

  • If you have two equations and two unknowns (x and y), you can determine whether two sets of linear equations are equivalent. For example, if you're given the equations: 1. -3x + 12y = 15 2. 7x - 10y = -2 You can determine whether the following system is equivalent: 1. -x + 4y = 5 2. 7x -10y = -2 To solve this problem, find "x" and "y" for each syst...
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      • 25. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
      • 27. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 28. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
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      • 14. /app/View/Composers/SidebarView.php:22
      • 15. /app/View/Composers/SidebarView.php:12
      • 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
      • 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
      • 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
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      Metadata
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      • 21. view::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15
      • 23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 25. /vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
      • 26. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
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