# Use the distributive property to write an equivalent variable expression

Now, we bring in the distributive property.

Alright, so this is going to be four. They will benefit from activities where they are asked to insert parentheses into expressions to generate a given number. Like Terms - Terms that have the same variables raised to the same exponent, but could have different coefficients.

The associative property is about grouping. Write an expression that gives the length of the swimming pool. This set of cards is for the higher achieving group of students. Yes, and we often use parentheses to show those groups.

Do Now 10 minutes At this point, students should be comfortable with algebra vocabulary, translating and evaluating algebraic expressions, and using the distributive property with algebraic expressions.

What is that dollar amount. Students will be put in partnerships based upon ability level. How is this property used. And so, what's this going to be.

Why do you need them. Try It Out 5 minutes For today's guided practice, I will present my students with 3 sets of equivalent expressions. Each bag need to contain the same number of teaspoons and each bag can contain only one spice.

By this point, students have developed the definition, which I will formalize and share with the class. What about the order of the variables. We can take the 9 out of both terms and be left with the 11 and 6.

Which property does the equation show. What is another way to write this expression What is 10n. Student correctly explains something about the importance of using the order of operations in Part 3. Write an expression that gives the price of the skateboard. For this reason, the following is true: So far we have: I know that properties are somewhat like laws; they always work.

Use the distributive property to rewrite this expression. Instructional Implications Explain what it means for expressions to be equivalent i.

Because the coefficient 1 is implied, students will benefit from the teacher writing the coefficient 1 whenever it is implied to make it explicit.

Students will benefit from a discussion of what the word equivalent means. What value will you use for x to substitute. Add 3 tosubtract the result from 1, then double what you have. Student demonstrates solid understanding of the mathematical ideas and processes related to finding perimeter and writing expressions with variables to express relationships in Parts 1 and 2.

What does the word distribute mean. First you multiply 3 by x, which is 3x.

For example, 6y means 6 times whatever value the variable y has. So, we have, write it like this. For this reason, it will take a bit longer for students to match up the cards as they will have to eliminate more options.

I see what you mean. There are 16 ounces in 1 pound.

Write an expression that gives the number of ounces in pounds. Use p to represent pounds. Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

Terms like 3x and 7x that have the same variable part are called like terms. The constant terms are like terms as well. Like terms can be combined as is stated in the distributive property. $$3x+7x=\left (3+7 \right)x=10x$$ Expressions like 3x+7x and 10x are equivalent expressions since they denote the.

Algebraic expressions (6th grade) Write equivalent expressions using the Distributive Property of Multiplication over Addition An updated version of this instructional video is available. Name LESSON Practice B For use with pages Use the distributive property to evaluate the expression.

Date 3 -5(24 - 17) 6. + ) (3). To get tan(x)sec^3(x), use parentheses: tan(x)sec^3(x). From the table below, you can notice that sech is not supported, but you can still enter it using the identity sech(x)=1/cosh(x). If you get an error, double-check your expression, add parentheses and multiplication signs .

Use the distributive property to write an equivalent variable expression
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