Unit 1 Lesson 1

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Lesson 1: Expressions

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variable – a letter that is used to represent one or more numbers. algebraic expression – an expression that is made of numbers, variables and operation symbols. EX 5(n) 5·n 5n 6 + c 8 - x five times n 6 plus c 8 minus x

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power - an expression that represents repeated multiplication of the same factor. 34 = 3 · 3 · 3 · 3 seven to the first power five to the second power or five squared two to the third power or two cubed 5 · 5 25 2 · 2 · 2 8 7

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Writing Algebraic Expressions Addition Subtraction • sum • plus • total • more than • increased by • difference • less than • minus • decreased by

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Multiplication Division • times • product • multiplied by • of • quotient • divided by • divided into

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EX Write an expression. a. eight more than a number n b. The difference of a number x and 6 n + 8 x - 6

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A number y minus 5 d. 12 times a number b y - 5 12b 12(b)

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e. 1/3 of a number x f. The quotient of a number k and 2 k ÷ 2

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The words “the quantity” mean to group. EX Write an expression. a. 4 less than the quantity 6 times a number n 6n - 4

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b. 3 times the sum of 7 and a number y c. The difference of 22 and the square of a number m 3(7 + y)