The difference of m and 5 x decreased by 8 4 less than a X subtracted from 5 8

The difference of m and 5 x decreased by 8 4 less

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The difference of m and 5. x decreased by 8. 4 less than a. X subtracted from 5. 8
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Writing Expressions That Indicate Multiplication Definition of Multiplication x . y indicates the product of x and y , or x times y. x . y can be written as xy or x(y) or (x)(y). x and y are called the factors of the product xy The multiplication operation is commutative and associative . The order of the multiplied terms and the order in which the operations are performed is not important . It is commutative because (2)(3) = (3)(2) = 6 It is associative because ((2) (3))(4) = (2)((3)(4)) = 24 Examples: Write using symbols The product of 5 and a. 3 times 7. Twice z. The product of 2, s , and t . 4 more than the product of 6 and x 9
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Writing Expressions That Indicate Division Definition of Division means x divided by y or the quotient of x and y. To indicate the quotient when 9 is divided by 3, we use on of the following: In algebra the fraction form is usually used. The division operation is neither commutative nor associative . The order of the divided terms and the order in which the operations are performed is important . Examples: Write using symbols m divided by 3 . The quotient of a plus b , divided by 5. The quantity p plus q divided by the quantity p minus q . y x 10
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Words Indication Operations 11
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Expressions with More than One Operation Examples: Write using symbols 3 times the sum of a and b. The sum of 3 times a and b . 2 times the difference of m and n. The product of s plus t and s minus t. The product of b and 3 less than b. 12
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Writing Geometric Expressions Examples: Write using symbols Length times width. One-half of altitude times base . Length times width times height. Pi (π) times diameter. 13
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1.1.3 Translate from English to Algebra Example: Modeling Applications with Algebra Carla earns $10.25 per hour in her job. Write an equation that sets her weekly gross pay equal to an expression involving the number of hours she works per week. 14
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1.2: Evaluating Algebraic Expressions Objectives: 1.2.1:Evaluate algebraic expressions given any real-number value for the variable. 1.2.2: Use a graphing calculator to evaluate algebraic expressions. 15
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1.2.1: Evaluate Algebraic Expressions Given any Real- Number Value for the Variable. Examples Suppose that a = 5 and b = 7. 1. Find a + b 2. Find 3ab Suppose that a = 2, b = 3, c = 4, and d = 5. 1. Find 7a + 7b 2. Find 3c 2 3. Find 7(c + d) 4. Find 5a 4 2d 2 16
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1.2.1:Evaluate Algebraic Expressions Given any Real- Number Value for the Variable. Examples Suppose that p = 2, q = 3, and r = 4.
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