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Published byLaurence Flowers Modified over 9 years ago
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Warm Up: Paige has exactly $5.60 in quarter, dimes, and nickels. How many of each coin does Paige have if she has the exact same number of each type of coin?
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______________________ are symbols used to represent unspecified number or values. Any__ letter may be used as a variable. __________________ ____________________ consist of one or more numbers, at least one _________________ and one or more arithmetic operations. Multiplication is shown with a _____________ ________ [ 5 ● 6 ], __________________ [ (5)(6) or 5 (6)]. If the factors are a constant (number) and a variable or two variables, _____ symbol is needed. [ 3x means 3 times x.] In an expression, the quantities being multiplied are called ___________. And the result is called the ______________ Variables Variable expressions variable raised dot parentheses no factors product
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PhraseOperationVerbal ExpressionAlgebraic Expression More than5 more than a number or LessA number less ten Less than$8 less than Sue ProductThe product of 4 and a number x QuotientThe quotient of a number and 6 DifferenceThe difference of a number x and y SumThe sum of 6 and a number **The word “THAN” usually means you have to switch the order. ** Multiply (*) Add (+) Subtract (-) Divide (÷) Add (+) Subtract (-) a + 5 6 + n x – y 4x S – 8 * notice the order b – 10 5 +a
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How would you rewrite each of these verbal expressions as an algebraic expression? A. 3 more than twice a number B. 9 less than the quotient of 6 and a number x C. The product of 4 and the sum of a number x and 7. 3 + 2n or 2n + 3 4 (x + 7) (you need parentheses because it is 4 times the “SUM”)
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What word phrase can you use to represent each algebraic expression below? D. 3x E. 5x – 1 Three times “X” OR The product of 3 and a number “x” 5 times x minus 1 OR 1 less than 5 times x OR The product of 5 and a number “x” decreased by 1
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Try each of the following on your own. Write an algebraic expression for each verbal expression. 1. five less than a number 2. 9 plus the product of 2 and the number d 3. two-thirds of the original volume 4. 24 less than three times a number 5. the sum of 35 and z 6. the product of 16 and p 7. 49 increased by twice a number
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8.Bria is saving to buy a new computer. Write an expression to represent the amount of money she will have if she has s dollars saved and she adds d dollars per week for the next 12 weeks. 9. the product of and a to the seventh power 10. the sum of 11 and x to the third 11. 8 less than the product of a number x and 4 12. twice the sum of a number x and 8 13. the quotient of 5 and the sum of 12 and a number x
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II.What word phrase can you use to represent the algebraic expression? 14. x + 8.1 15. 10x + 9 16.
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