# Use distributive property to write an equivalent expression

## Distributive property

In abstract algebra and formal logic, the distributive property of binary operations generalizes the distributive law from elementary algebra. In propositional logic, distribution refers to two valid rules of replacement. The rules allow one to reformulate conjunctions and disjunction…

of Multiplication In Mathematics, the distributive property is used in rewriting expressions with equivalent expressions. Distributive comes from its

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So 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 identify equivalent expressions?

Equivalent Expressions Equivalent Expressions are expressions that have the same value. They may look different but will have the same result if calculated. For example, and are equivalent expressions. See why below: The two expressions have the same answer, 27. Therefore, we can say that they are equivalent expressions.

## How to write equivalent expression?

equivalentleft (x+x,3xright) equivalent(x+x,3x) 2. Apply the formula: e q u i v a l e n t ( a, b) mathrm {equivalent}left (a,bright) equivalent(a,b) =false, where. a = x + x. a=x+x a= x+x and. b = 3 x. b=3x b =3x.

## How do you find the equivalent expression?

equivalent expressionshave the same value but are presented in a differentformat using the properties of numbers eg, ax + bx = (a + b)x are equivalent expressions. Strictly, they are not “equal”, hence we should use 3 parallel lines in the”equal” rather than 2 as shown here.

## What is an equal expression?

What is an equal expression? If two things are equivalent, they are the same. Equivalent expressions are expressions that are the same, even though they may look a little different. If you plug in the same variable value into equivalent expressions, they will each give you the same value when you simplify.

## How do you write an equivalent expression for property?

2:446:246th Grade Math 10.3c, Write Equivalent Expressions … – YouTubeYouTubeStart of suggested clipEnd of suggested clipWe can write an expression that is equivalent by changing the grouping symbols to different factorsMoreWe can write an expression that is equivalent by changing the grouping symbols to different factors with the associative property of multiplication.

## What is an example of a equivalent expression?

Examples of Equivalent Expressions 3(x + 2) and 3x + 6 are equivalent expressions because the value of both the expressions remains the same for any value of x. 3x + 6 = 3 × 4 + 6 = 18. and can also be written as 6(x2 + 2y + 1) = 6×2 + 12y + 6. In this lesson, we learn to identify equivalent expressions.

## What is an expression using distributive property?

0:042:41Simplify Expressions using Distributive Property – Algebra IYouTubeStart of suggested clipEnd of suggested clipUsing distributive property and to use distributive property is is to distribute a single termMoreUsing distributive property and to use distributive property is is to distribute a single term outside a set of parenthesis. From with two or more terms inside the set of parentheses.

## What does it mean to write an equivalent expression?

Generally, if two things are the same, then it is called equivalent. Similarly, in mathematics, the equivalent expressions are the expressions that are the same, even though the expression looks different. But if the values are plugged in the expression, both the expressions give the same result.

## What is an 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.

## What is this expression equivalent to A -> B?

Hence, a. (a+b) is equivalent to a2+ab.

## What are 2 examples of distributive property?

It is used to solve expressions easily by distributing a number to the numbers given in brackets. For example, if we apply the distributive property of multiplication to solve the expression: 4(2 + 4), we would solve it in the following way: 4(2 + 4) = (4 × 2) + (4 × 4) = 8 + 16 = 24.

## How do you do the distributive property step by step?

Distributive property with exponents Expand the equation. Multiply (distribute) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set. Combine like terms. Solve the equation and simplify, if needed.

## How do you use distributive property to evaluate an expression?

0:316:31Using Distributive Property to Evaluate Expressions – YouTubeYouTubeStart of suggested clipEnd of suggested clipSo if we’re doing six times eight hundred plus twenty most of us remember. The box method. So weMoreSo if we’re doing six times eight hundred plus twenty most of us remember. The box method. So we would put six over here and we would do eight. Hundred.

## How do you know if equations are equivalent?

Multiplying or dividing the same number from both sides of a linear equation does not change the solution set. Continuing with our example, if we divide both sides of 14 = 4x by 4, we get 14/4 = x. Because this doesn’t change the solution set, 14 = 4x and 14/4 = x are equivalent equations.

## How do you find equivalent expressions with exponents?

2:515:01IXL F.13 8th Grade Math Identify equivalent expressions involving …YouTubeStart of suggested clipEnd of suggested clipNumbers of the same base we subtract the exponents. That’s also 90 to the sixth power. So it’s aMoreNumbers of the same base we subtract the exponents. That’s also 90 to the sixth power. So it’s a quick these these two expressions are equivalent.

## What expression is equivalent to 81?

Some expressions that are equivalent to 81 are 9^2, 3\times3^3, and 8^2+17.

## What expression is equivalent to 81?

Some expressions that are equivalent to 81 are 9^2, 3\times3^3, and 8^2+17.

## Which equation is equivalent to log2n 4?

The correct answer is B) 16.

## 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.

## Which expression is equivalent to sine of 7pi 6?

The value of sin 7pi/6 in decimal is -0.5. Sin 7pi/6 can also be expressed using the equivalent of the given angle (7pi/6) in degrees (210°). Since the sine function is a periodic function, we can represent sin 7pi/6 as, sin 7pi/6 = sin(7pi/6 + n × 2pi), n ∈ Z.

## Distributive Property

Multiplying a number by a sum or difference is the same as multiplying by each number in the sum or difference and then adding or subtracting.

## Writing Equivalent Expressions Using Distributive Property – Examples

Use distributive property to write an expression that is equivalent to 3 (10 + 2).

## Equivalent Expressions with the Distributive Property

This lesson is using the distributive property to identify and write equivalent expressions.

## Summary

Time Frame: 35 – 40 minutes (Length of the lesson can be changed depending on the amount of time spent discussing strategies.)

## Background for Teachers

Before teaching this lesson, teachers should have an understanding of how algebra tiles work. If students have not used algebra tiles before, explain the value for each tile to them.

## Step 1 – Goals and Outcomes

Learning intentions: Students will be able to identify and write equivalent expressions using the distributive property.

## Step 2 – Planning Instruction

Prior to this lesson, students should know the parts of an expression, be able to use the distributive property, and know how to find the GCF of 2 numbers.

## Step 3 – Instruction

Bellwork: Display the activity What is the same or different? on the board. I would only give them 3-5 minutes to work on this. Walk around as they are working and choose which students you would like to share their thinking.

## Step 4 – Assessments

A few minutes before class is over, have them fill out the exit ticket. There is a printable version and a Google Forms version.

## Math

The Distributive Property: Find the product mentally. Show the steps you used. 8*34 I know that 8*34=272 but how you do it with Distributive Property? Thanks!

## Math

Identify the expression that is equivalent by the distributive property 5 (2x+3) A 10x+3 B 10x+5 C10x+15 Is it C?

1 Which property is used in the equation below? 12 (x + 4) = 12x + 48 A Associative Property of Addition B Commutative Property of Addition C Distributive Property D Reflexive Property 2 Which expression is equivalent to 3 x – 3

## algeebra

Determine wether the two expressions are equivalent. If so,tell what property is applied. If not explain why. 1) 9 x 1 and 9. Is this expression equivalent because 9 x 1=9 and also 1 x 9=9.this would be an example of an

## Math

What property justifies that 6x+9/3 =2x + 3? (it isn’t like 6x plus the fraction 9/3, it’s like the expression 6x + 9 divided by 3.) A. Commutative Property of Addition B. Commutative Property of Multiplication C. Distributive

## What property can we use to write an equivalent expression?

We can use the Commutative Property of Addition to write an equivalent expression:

## When multiplying more than two numbers, does the grouping of the numbers change the product?

When multiplying more than twonumbers, the grouping of the numbers does not change the product .

## What are the properties of operations?

Properties of Operations. 1. Commutative Property of Addition : When adding, changing the order of the numbers does not change the sum. Example : 3 + 4 = 4 + 3. 2. Commutative Property of Multiplication : When multiplying, changing the order of the numbers does not change the product.

## When multiplying, does changing the order of the numbers change the product?

When multiplying, changing the order of the numbers does not change the product.

## What is distributive property calculator?

Distributive Property Calculator is a free online tool that displays the solutions for the given expression using the distributive property. BYJU’S online distributive property calculator tool makes the calculations faster and it displays the simplification of numbers in a fraction of seconds.

## What property do numbers obey?

The different properties are associative property, commutative property, distributive property, inverse property, identity property and so on. The distributive property is the one which allows us to multiply the number by a group of numbers, …