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Lesson 2 ReteachSimplifying Algebraic Expressions

Listed below are some definitions related to algebraic expressions.

term: a number, variable, or a product of numbers and variables; terms in an expression are seperated by addition or subtraction signs

coefficient: the numerical part of a term that also contains a variable

constant: term without a variable

like terms: terms that contain the same variables

6a - b + 2a + 7

The coefficient of b is -1. The coefficient of a is 2.

The coefficient of a is 6.like terms

terms

6a - b + 2a + 7

constant

When an algebraic expression has no like terms and no parentheses, it is in simplest form.

To make it easier to simplify an algebraic expression, rewrite subtraction as addition. Then use the Commutative Property to group like terms together.

Example Simplify 5t - 7(s - 4t).

5t - 7(s - 4t) = 5t + (-7)[s + (-4t)] Definition of Subtraction

= 5t + (-7s) + (-7 � -4t) Distributive Property

= 5t + (-7s) + 28t Simplify.

= 5t + 28t + (-7s) Commutative Property

= 33t + (-7s) or 33t - 7s Simplify.

ExercisesSimplify each expression. 1. 9m + 3m 2. 5x - x 3. 8y + 2y + 3y 12m 4x 13y

4. 4.3x - 8.1 + 0.2x - 17.5 5. -7.6 - 9y - 6.5 + 4.7y 6. -0.3g - 4.2 + 6.1g - 0.9 4.5x - 25.6 -4.3y - 14.1 5.8g - 5.1

7. 1 − 5 (p - 10) + 13p - 7 8. (a + 12) 5 − 6 - 5a + 11 9. -6h - 5 + 2 − 3 (24h - 12)

13 1

− 5

p - 9 -4 1

− 6

a + 21 10h - 13

Program: Pre-Algebra

Vendor: Aptara

Component: ANC_C07_L2

Grade: AMPDF Pages

Math Accelerated • Chapter 7 Algebraic Expressions

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