Simplifying Expressions

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Objective - To combine like terms to simplify expressions.

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Presentation transcript:

Simplifying Expressions

Terms of an expression: the parts of an expression that are added together Like terms: terms that have identical variable parts.

Examples: LIKE TERMS NOT LIKE TERMS 6x and 2x 6x2 and 2x 5y and 8y 5x and 8y 4x2 and 7x2 4x2y and 7xy2

Equivalent variable expressions: Expressions that have the same value when simplified. Constant term: A term that has a number but no variable. Coefficient: The number in a term that is the product of a number and a variable.

Identify all of the terms like 2x 4 Identify all of the terms like 2x A 5x B 3x2 C 5y D 12y E 2 Answer: A

Identify all of the terms like 8xy 6 Identify all of the terms like 8xy A 8x B 3x2y C 39xy D 4y E -8xy Answer: C, E

Identify all of the terms like 14x2 8 Identify all of the terms like 14x2 A -5x B 8x2 C 13y2 D x E -x2 Answer: B, E

Practice Identify the coefficients, like terms, and constant terms of the expression. -3z + 1 + 4z 2. 15 – 9r + 7r - 6 2y + 8 – 2y – 4

Sometimes there are constant terms that can be combined. 9 + 2f + 6 = Sometimes there will be both coeffients and constants to be combined. 3g + 7 + 8g - 2 11g + 5 Notice that the sign before a given term goes with the number.

Simplify and expression 1.) 2b +6g(3) + 4f + 9f 2.) 9j + 3 + 24h + 6 + 7h + 3 3.) 7a + 4 + 2a -19 + 8c -12 + 5c 4.) 8x + 56xy + 5y

10 7x + 7y = 14xy A True B False Answer: B False

14 -15y + 7y = -8y A True B False Answer: A True

Factor the following: 2v+7v+14v 35 Factor the following: 2v+7v+14v A 7(2v + v + 2v) B 7v(2 + 1 + 2) C 7v (1 + 2) D v(2 + 7 + 14) Answer: D

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