NAME DATE PERIOD Lesson 2 Reteach - Weebly...When an algebraic expression has no like terms and no...
Transcript of NAME DATE PERIOD Lesson 2 Reteach - Weebly...When an algebraic expression has no like terms and no...
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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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