# Using distributive property to rewrite algebraic expressions

The student does not have to name the properties, but should show through work or explanation how the properties were applied. What does equivalent mean? Associative and Inverse Properties of Addition B. When can you combine terms? After a few minutes of work, I may begin to help. Examples of Student Work at this Level The student correctly determines which expressions are equivalent to the given one and justifies each response.

The last problem in the set is a multiple choice problem; students still must show work! See how the plus sign is followed by the negative sign? If the given expression had been written this way, would it change any of your answers for the other expressions?

Zero Property of Multiplication E. Can you explain in more detail? Two out of three correct answers is a sign that a student will have this objective mastered soon. Example 3 - More Distributing For example 4, notice that we are distributing a negative number.

I will take off points if a student does not simplify a fraction in their simplified answer. No, because -1 was only factored out of the first term. In fact there is no such thing as too much practice. Then they will switch roles for the next problem. Subtracting a negative is the same as adding a positive.

Even the best athletes and musicians had help along the way and lots of practice, practice, practice, to get good at their sport or instrument. Instructional Implications Assist the student in developing a more formal understanding of the properties of operations and model using the properties to justify the steps in rewriting expressions in equivalent forms.

Commutative Property of Addition You can add numbers in any order and still have the same sum. The numerator of a becomes the denominator of the reciprocal of a and the denominator of a becomes the numerator of the reciprocal of a. Does not distribute the factor to every term. Copy the examples onto your paper and do them with me. Same numbers, different order. It does NOT work for subtraction or division. Guide the student to look for opportunities to use these properties as strategies for simplifying rational expressions.

Gives incorrect property names with no work or explanation.The Distributive Property Working with a partner, take turns using mental math to ﬁ nd the product.

EXAMPLE 2 Simplifying Algebraic Expressions Use the Distributive Property and mental math to ﬁ nd 8 Use the Distributive Property to rewrite the expression as a product. 4x + 36 6 + 2x 75 − 5x May 21,  · Edit Article How to Use Distributive Property to Solve an Equation.

Four Methods: Using the Basic Distributive Property Distributing Negative Coefficients Using the Distributive Property to Simplify Fractions Distributing a Long Fraction Community Q&A The distributive property is a rule in mathematics to help simplify Views: K. Join Karin Hutchinson for an in-depth discussion in this video Simplifying expressions using the distributive property, part of Learning Algebra: Pre-Algebra Core.

Karin Hutchinson also helps you evaluate, write, and simplify expressions, and solve word problems and complex algebraic expressions.

Topics include: Simplifying expressions. These dynamically created Pre-Algebra Worksheets allow you to produce algebraic expressions worksheets.

Worksheets By Topics: Addition: Algebraic Expressions The Distributive Property: Algebraic Expressions Evaluating One Variable: These Algebraic Expressions Worksheets will create algebraic statements with two.

If we look at the expression: \$\$5+3x-2+7x\$\$ This expression has 4 terms where two of the terms are constant terms 5 and The two other terms have the coefficients 3 and 7.

Terms like 3x and 7x that have the same variable part are called like terms. The constant terms are like terms as well. Improve your math knowledge with free questions in "Simplify variable expressions involving like terms and the distributive property" and thousands of other math skills.

Using distributive property to rewrite algebraic expressions
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