Generate Equivalent Expressions

​Generate Equivalent Expressions

Chapter 2 Intervention Lesson 1​

ab = ba

a (b) = b (a)​

​ab (c) = a (bc)

​Distributive Property of Multiplication

a + b = b + a​

​a + b + c = c + b + a

​(a + b) + c = a + (b + c)

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​Distributive Property of Addition

​Any Order, Any Grouping

When just adding, or just multiplying, it can be in any order & any grouping.​

​Any Order, Any Grouping

​With Addition...

​#1. Rewrite 5𝑥 + 3𝑥 and 5𝑥 − 3𝑥 by combining like terms.

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Write the original expressions and expand each term using addition. What are the new expressions equivalent to?

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Make sure to write down your notes & problem solving in your notebook.

​Any Order, Any Grouping

​with Addition...

#2. Find the sum of 2𝑥 + 1 and 5𝑥.

Remember: When combining like terms, "and" = "add".​

​Any Order, Any Grouping

​With Addition...

​#3. Find the sum of -3a + 2 and 5a - 3.

Remember: When combining like terms, "and" = "add".​

​Any Order, Any Grouping

​With Multiplication...

Find the product of 2x and 3. ​

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Remember: "product" is the result of multiplying two numbers.​

​Any Order, Any Grouping

​Mixed Practice with Addition & Subtraction

Remember the Following:

• Parentheses imply ​multiplication.

• The floating dot is the algebraiac symbol for multiplication. ​

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Good Luck!

​Combine Like Terms and Evaluate Expressions

​For each problem, follow these steps:

1. Write Equivalent Expressions by Combining Like Terms.

2. ​Evaluate the Expressions with the following variable values:

​ a = 2 b = 5 c = -3

Make sure you're writing all of this down in your math notebook!​

​Simplify & Evaluate Expressions

​Example: 3(6a) ; for a = 3

​3(6⋅a)

​3(6⋅3)

3(18)

3⋅18

54​

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​Get Ready to Practice!