Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used. 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.

Question

Jenny Howard

Mathematics

13 February, 22:40

Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used. 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.

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Answers (1)

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Cassius Poole · Answer 1

3x + 15 - 2 = 3 (x + 5) - 2 ... distribute : distribution property

3x + 13 = 3x + 15 - 2 ... simplify

3x + 13 = 3x + 13 ... subtract 3x from both sides : subtraction property

3x - 3x + 13 = 3x - 3x + 13

13 = 13 (correct) ... infinite solutions

check ... x = 2

3 (2) + 15 - 2 = 3 (2 + 5) - 2

6 + 13 = 6 + 15 - 2

19 = 21 - 2

19 = 19 (correct)