# Apply the distributive property to create an equivalent expression

Already we know that multiplication is distributive over addition and subtraction. We can use this distributive property to write equivalent algebraic expressions. 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. 0:47

2:44

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 create equivalent expressions?

Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

## What is an example of an 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 equivalent expression to 54 18x?

MondayTuesdayThursdayWrite an equivalent expression for 48 + 18x.Use the distributive property to create an equivalent expression to 54 + 18xAre the two expressions equivalent when x = 2? 7(8x + 5) 48x + 358 more rows

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

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

## 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.

## Which equation is equivalent to log2n 4?

The correct answer is B) 16.

## What is equivalent to 35y?

Equivalent expressionsQuestionAnswer42y – 23y19y24x-14x+23x33x19x-8x-7x4x213y-24y-54y35y.26 more rows

## 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.

## Which equation is equivalent to log2n 4?

The correct answer is B) 16.

## 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.

## 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.

## 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.

## 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.

## 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, …