Day problems
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Day Problems. Evaluate each expression for 1. a – 2b2. b ÷ c 3. a ÷ c4. -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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Day Problems

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Day problems

Day Problems

  • Evaluate each expression for

    1. a – 2b2. b ÷ c

    3. a ÷ c4. -2abc


1 7 the distributive property

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

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

Simplifying an Expression

  • Simplify each expression.

    a. 2 (5x + 3)

    = 2 (5x) + 2 (3)

    = 10x + 6

    b.


Using the multiplication property of 1

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

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

  • Like terms – have exactly the same variable factors.

    Like TermsNot Like Terms

    3x and -2x8x and 7y

    -5x2 and 9x25y and 2y2

    xy and –xy4y and 5xy

    -7x2y3 and 15x2y3x2y and xy2

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


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