Day Problems

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# Day Problems - PowerPoint PPT Presentation

Day Problems. Evaluate each expression for 1. a – 2b 2. b ÷ c 3. a ÷ c 4. -2abc. 1.7 The Distributive Property. Distributive Property For every real number a, b, and c , a (b + c) = ab + ac (b + c) a = ba + ca a (b – c) = ab – ac (b – c) a = ba – ca Examples:

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Presentation Transcript
Day Problems
• Evaluate each expression for

1. a – 2b 2. b ÷ c

3. a ÷ c 4. -2abc

1.7 The Distributive Property
• Distributive Property
• For every real number a, b, and c,

a (b + c) = ab + ac (b + c) a = ba + ca

a (b – c) = ab – ac (b – c) a = ba – ca

• Examples:
• 5 (20 + 6) = 5 (20) + 5 (6)
• (20 + 6) 5 = 20 (5) + 6 (5)
• 9 ( 30 – 2) = 9 (30) – 9 (2)
• (30 – 2) 9 = 30 (9) – 2 (9)
Simplifying a Numerical Expression
• Use the distributive property to simplify 34 (102).

34 (102) = 34 (100 + 2)

= 34 (100) + 34 (2)

= 3400 + 68

= 3468

Simplifying an Expression
• Simplify each expression.

a. 2 (5x + 3)

= 2 (5x) + 2 (3)

= 10x + 6

b.

Using the Multiplication Property of -1
• Simplify –(6m + 4).

-(6m + 4) = -1 (6m + 4)

= -1 (6m) + (-1)(4)

= -6m – 4

Algebraic Expressions 9/22/10
• Term – a number, a variable, or the product of a number and one or more variables.
• Ex. 6a2 – 5ab + 3b – 12
• Constant – a term that has no variable.Ex. -12
• Coefficient – a numerical factor of a term.Ex. 6, -5, and 3
Like Terms
• Like terms – have exactly the same variable factors.

Like Terms Not Like Terms

3x and -2x 8x and 7y

-5x2 and 9x2 5y and 2y2

xy and –xy 4y and 5xy

-7x2y3 and 15x2y3 x2y and xy2

• An algebraic expression in simplest form has NO like terms.