The Distributive Property states that, for real numbers a a, b b, and c c, two conditions are always true:
- a(b + c) = ab + ac a ( b + c) = a b + a c
- a(b − c) = ab − ac a ( b – c) = a b – a c
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.
How do you find 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 a equivalent expressions?
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 a distributive expression?
The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum. For example, . Equivalent. Equivalent means equal in value or meaning.
What is a 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.
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 know if equations are equivalent?
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.
What is this expression equivalent to A -> B?
Hence, a. (a+b) is equivalent to a2+ab.
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 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 use the distributive property of expressions?
0:054:27Using the Distributive Property to Simplify Expressions – YouTubeYouTubeStart of suggested clipEnd of suggested clipSo what is the distributive property the distributive property is right here and it is a time’s theMoreSo what is the distributive property the distributive property is right here and it is a time’s the quantity B plus C equals a times B plus a times C.
What are some examples of distributive property?
What is Distributive Property?The distributive property of multiplication over addition:The distributive property of multiplication over subtraction:8 × ( 20 + 7 )= 8 × 20 + 8 × 7= 160 + 56= 2168 × ( 30 − 3 )= 8 × 30 − 8 × 3= 240 − 24= 216
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 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.
How do you find equivalent expressions in trigonometry?
1:2011:07Equivalent Trigonometric Expressions – YouTubeYouTubeStart of suggested clipEnd of suggested clipSo the cosine of PI over 3 is equivalent to the sine of PI over 6 and you can see that from this isMoreSo the cosine of PI over 3 is equivalent to the sine of PI over 6 and you can see that from this is the first quadrant from the unit circle. The cosine of PI over 3 cosine is the x coordinate.
How do you solve equivalent expressions with exponents?
0:009:14Equivalent Forms of Exponential Equations – YouTubeYouTubeStart of suggested clipEnd of suggested clipHere this power of 2 here is that power of 2 not this one in here so that Square is that’s whereMoreHere this power of 2 here is that power of 2 not this one in here so that Square is that’s where there now when you have a power of another power you multiply the exponents.
Steps for Using the Distributive Property to Write Equivalent Expressions
Step 1: Given an expression of the form {eq}ax + b {/eq}, we must first list all of the factors of the coefficient {eq}a {/eq}.
Equations and Definitions for Using the Distributive Property to Write Equivalent Expressions
Distributive Property: The distributive property says that the sum of two addends multiplied by a value is equivalent to multiplying each of the addends by the value and then adding. Mathematically, this property is written as {eq}a (b+c) = ab + ac {/eq}.
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 equivalent expressions with distributive property matching?
The Equivalent Expressions with Distributive Property Matching Activity allows students to demonstrate their understanding of creating equivalent expressions using the distributive property. This is a great activity for reviewing this topic in multiply grade levels.Copyright © 2021 by Lindsay Dalton
How many worksheets are there in the distributive property?
6 worksheets of distributive property (8 problems each) and 5 worksheets of factoring (8 problems each). The first worksheets start out with problems such as 7 (b-1) and 6a-9, but increase in difficulty as you get to other worksheets, ending with problems such as 12b (c+5d) and 7h+18h. Answer keys a
What is distributive property powerpoint?
This powerpoint allows students to practice using the distributive property to create equivalent expressions. It also includes slides that have students finding a common factor between the terms to restate the expression.
How to test if equations are equivalent?
Test if equations are equivalent by substituting values for variables. Students are given equations and choose values to substitute for the variables. Some equations are true, and others are false. This activity will helps students understand why distributing and combining like terms work. This acti
