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5.1 Algebraic Expressions

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CAN YOU FOLLOW ORDER OF OPERATIONS?

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PEMDAS Please Excuse My Dear Aunt Sally

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Can You... Evaluate an algebraic expression? Let’s try it...

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To evaluate an algebraic expression: FIRST, substitute a given number(s) for the variable(s) FINALLY, find the value of the resulting numerical expression (Use Order of Operations!!)

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Evaluate each expression for the given value of the variable. You will have to use Order of Operations! Substitute 15 for x. Subtract. 1. x – 9 for x = 15 15 – 9 6 Substitute 3 for y. Multiply. 2. 5y + 7 for y = 3 5(3) + 7 15 + 7 Add. 22

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Evaluate each expression for the given value of the variable. Show one step at a time! Substitute 2 for e. Multiply. 3. 9e for e = 2 9(2) 18 Substitute 5 for t Multiply. 4. 6t - 24 for t = 5 6(5) - 24 30 - 24 Subtract. 6

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Evaluate the expression for the given values of the variable. 6(x + 6) + 4 for x = 5, 6, 7 567567 x Substitute Parentheses Multiply Add 6(5 + 6) + 46(11) + 4 66 + 4 70 6(6 + 6) + 46(12) + 4 72 + 4 76 6(7 + 6) + 46(13) + 4 78 + 4 82

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Evaluate the expression for the given values of the variable. 5(n - 8) – 2 for n = 10, 15, 20 10 15 20 n Substitute Parentheses Multiply Subtract 5(10 - 8) - 25(2) – 2 10 – 2 8 5(15 - 8) - 25(7) – 2 35 – 2 33 5(20 - 8) - 25(12) – 2 60 – 2 58

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Evaluate each expression for the given value of the variables. Substitute 2 for x and 1 for y. Multiply. 11. 4x + 3y for x = 2 and y = 1 4(2) + 3(1) 8 + 3 Substitute 12 for m and 8 for n. Multiply. 12. 3m – 4.1n for m = 12 and n = 8 3(12) – 4.1(8) 36 – 32.8 Add. 11 Subtract. 3.2

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Evaluate each expression for the given value of the variables. Substitute 3 for x and 4 for y. Multiply. 13. xy – 4 2 for x = 3 and y = 4 3(4) – 4 2 12 - 8 Substitute 5 for x and 12 for y. Divide. 14. 60 – y for x = 5 and y = 12 x 60 – 12 5 12 – 12 Subtract. 4 0

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Can You... Evaluate an algebraic expression?

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Warm Up Show your work One Step at a Time! Write an algebraic expression for the following phrases. 4. 47 more than the product of 81 and a number n 5. Divide the difference of 31 and a number c by 54 6. The product of x and 5 decreased by 23 1. (1 + 2 3) 2 ÷ 7 2. 2(3 +1) - 7 3. (16 – 5 3) 2 + 9

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