Name: _________________ Variables and Expressions Standard: ______________ There are _____ types of expressions. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ Evaluate each expression 1. x + 12 for x = 8 ___________ = ________ 2. 80 ÷ c for c = 10 3. 7 m for m = 5 ___________ = ________ ___________ = ________ 4. 10 + 2p for p = 3 ___________ = ________ 5. k ÷ 2 ___________ = ________ for k = 22 6. 2 ( y – 3 ) for y = 12 ___________ = ________ Writing Variable Expressions: Make a list of ALL the words or phrases you can think of that describes each operation: ADDITION: SUBTRACTION: 5+8 10 - 4 MULTIPLICATON DIVISION: 10 × 3 18 ÷ 6 Can those same words be used to describe variable expressions? Word Phrase 22 is more than a number w less than 55 The product of k and 10 The quotient of r and s Variable Expression Write two word phrases for EACH variable expression. 1. b + 15 ___________________________________________________________ 2. m – n___________________________________________________________ 3. 6x ___________________________________________________________ 4. 18 ÷ p ___________________________________________________________ How can we write a variable expression for each word phrase? Five plus y ________________ 6 times q ________________ 2 less than x _______________ HOMEWORK: Evaluate each Expression: 1) 24 d for d = 3 _______________ 2) p + 8 for p = 6 ________________ 3) 3r – 2 for r = 5 ________________ 4) 6a + 8 for a = 7 ________________ 5) 5x – y for x = 12 and y = 14 ________________ 6) Use the expression 9x – 4. Which value of x gives you a result of 50? A: 10 B: 45 C: 5 D: 6 E: 7 Write two word phrases for each variable expression. 7) z + 24 ____________________________________________________ 8) 21 ÷ m ___________________________________________________ 9) 4n ______________________________________________________ Write a Variable expression for each word phrase. 10) 34 less than k ____________________________________________ 11) d more than 50 ____________________________________________ 12) The product of 3 and m ______________________________________ Name: _________________ Variables and Expressions Standard: EE2 a,b,c There are 2 types of expressions. Evaluate each expression 7. x + 12 for x = 8 8 + 12 = 20 8. 80 ÷ c for c = 10 80 10 = 8 9. 7m for m = 5 7 x 5 = 35 10. 10 + 2p for p = 3 10 + 2(3) = 10 + 6 = 16 11. k ÷2 22 12. 2 ( y – 3 ) for y = 12 for k = 22 2 = 11 2 ( 12 – 3) = 2(9) = 18 Problems 4 and 6: BE SURE TO USE THE ORDER OF OPERATIONS Writing Variable Expressions: Make a list of ALL the words or phrases you can think of that describes each operation: ADDITION: Altogether Increase Combine In all Above Add Sum More Than SUBTRACTION: Minus Shorter Longer Lose Reduce Take Away Fewer Decrease Less Than Subtract Difference 5 + 8 Several possible answers 8 added to 5 5 increased by 8 5 and 8 in all 10 – 4 Several possible answers 10 minus 4 The difference between 10 and 4 10 decreased by 4 MULTIPLICATON Multiply Times Twice Triple Quadruple Of Product By Half (Multiply by ½) DIVISION: Quotient Reduce Divide Out Of Divided By Share Goes Into Cut Into Half (Divide by 2) 10 × 3 Several possible answers 10 multiplied by 3 The product of 10 and 3 10 by 3 18 ÷ 6 Several possible answers The quotient of 18 and 6 18 divided by 6 Share 18 by 6 Can those same words be used to describe variable expressions? Word Phrase 22 is more than a number w less than 55 The product of k and 10 The quotient of r and s Variable Expression x + 22 55 - w 10k r s Write two word phrases for EACH variable expression. 1. b + 15 15 more than b b increased by 15 2. m – n n less than m m decreased by n 3. 6x 6 multiplied by x the product of 6 and x 4. 18 ÷ p the quotient of 18 and p Several possible answers 18 divided by p How can we write a variable expression for each word phrase? Five plus y 5+y 6 times q 6q 2 less than x x-2 HOMEWORK: Evaluate each Expression: 13) 24 d for d = 3 24 ÷ 3 = 8 14) p + 8 for p = 6 6 + 8 = 14 15) 3r – 2 for r = 5 3 x 5 – 2 = 15 – 2 = 13 16) 6a + 8 for a = 7 6 x 7 + 8 = 42 + 8 = 50 17) 5x – y for x = 12 and y = 14 5 x 12 – 14 = 60 – 14 = 46 18) Use the expression 9x – 4. Which value of x gives you a result of 50? A: 10 B: 45 9 x 10 – 4 = 86 9 x 45 – 4 = 401 C: 5 9 x 5 – 4 = 41 D: 6 E: 7 9 x 6 – 4 = 50 9 x 7 – 4 = 59 Write two word phrases for each variable expression. Several possible answers 19) z + 24 z plus 24 24 added to z 20) 21 ÷ m 21 divided by m 21) 4n 4 times n z increased by 24 what is the quotient of 21 and m? 4 multiplied by n the product of 4 and n Write a Variable expression for each word phrase. 22) 34 less than k k - 34 23) d more than 50 50 + d 24) The product of 3 and m 3m (3)(m) 3 m
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