# Use the distributive property to write an equivalent variable expression

What operations do you see in the expressions? How are these problems similar? What steps will you take to simplify each expression? What properties will you use? Attempts to rewrite the expression as an equation and solve for x. Questions Eliciting Thinking What does it mean for expressions to be equivalent?

## Modeling and Solving Problems Involving Perimeter

Can you explain the Distributive Property? What does the word distribute mean? What do you think the parentheses mean? Instructional Implications Explain what it means for expressions to be equivalent i. Demonstrate that two expressions [e. Be sure the student understands that a demonstration that two expressions are equivalent for a variety of values does not constitute a proof that they are equivalent.

To prove two expressions are equivalent, properties and theorems must be used. Provide instruction on the Distributive Property and be very clear in describing what the property means. Then evaluate each expression using the order of operations rules to show that the expressions are equivalent. Be sure the student understands that the Distributive Property applies to subtractions as well since any subtraction can be rewritten as an addition.

Explain the usefulness of factoring by guiding the student through problem 2.

Provide additional opportunities to both expand and factor expressions using the Distributive Property. Divides one of the terms, 16, by 4. Indicates he or she does not know. Substitutes four for x and evaluates the expression.

How is this property used? Is there more than one way to apply the Distributive Property? Got It The student provides complete and correct responses to all components of the task. Examples of Student Work at this Level The student rewrites:DISTRIBUTIVE PROPERTY LESSON – 7th Grade - AF – Use algebraic terminology (e.g.

variable, equation, term, coefficient, inequality, expression, constant) correctly. how they are equivalent. - Write a written expression for each and prove that they are equivalent.

Algebra -> Distributive-associative-commutative-properties-> SOLUTION: How do you use the Distributive property to write an expression as an equivalent expression example:6(n+5) or -2(k+8) please help thank you Log On.

Guide the student to use the Distributive Property to rewrite expressions such as 7m + (7 x 3) as 7(m + 3).

Describe this process as factoring since the expression is being rewritten as a product of the factors 7 and (m + 3).

Explain the usefulness of factoring by guiding the student through problem #2. Plan your minute lesson in Math or algebraic expression with helpful tips from Ursula Lovings. Apply the distributive property to write equivalent expressions.

3(10a + 3b) Before students move to combining like terms, we will use shapes to identify the like terms. (See Example 3. Distributive Property 1. Objective - To use the distributive property to simplify numerical and variable expressions. Distributive Property or Order of Operations Distributive Property It works!

We also use the distributive property to solve in the opposite order. 99 + 63 = 9 x 11 + 9 x 7 = 9(11 + 7) = 9(18) Not matter how you use it, the distributive property helps us the rewrite expressions in a new equivalent form that can be used to help us to solve.

How can you create an equivalent by using the Properties of Equality