Name LESSON Date Class Challenge 1-2 Amazing Math Write an algebraic expression for each word phrase on the board. Evaluate each expression for x 2. Then find a path from the top row to the bottom row that gives a total of 22. 3 times x 1 less than twice x 6 more than x x increased by 3 the quotient of twice x and 2 1 more than x the product of 3 and x x decreased by 1 half of x twice x increased by 3 1 less than 3 times x the difference between 3 and x the difference between 2 and x the product of 4 and x the sum of 6 and twice x twice x the difference between x and 1 the sum of x and 5 1 more than half of x the product of 4 and 3 times x x increased by 2 the quotient of x and 2 7 increased by x the quotient of 6 and x 5 times x divided by 2 Copyright © by Holt, Rinehart and Winston. All rights reserved. 22 Holt Middle School Math Holt Pre-Algebra Practice C 1-2 Writing Algebraic Expressions Practice B 1-2 Writing Algebraic Expressions LESSON LESSON Write an expression for each word phrase. Write an expression for each word phrase. n ᎏᎏ 5 p 20 4y 3. a number c decreased by 11 21 ᎏᎏ b x6 3(b 5) 共 24 兲 6(z 19) Translate each algebraic expression into words. 7 2x 9. y 7 10. 12p b. How much money would Madeline have earned if she worked 18 hours? 12. 10(8 w) 11. 3 5n $126 c ᎏᎏ 6 3 plus the product of 5 and 10 times the sum of 8 and a a number n number w Write an algebraic expression and use it to evaluate each word problem. 24 cards b. If Jonah has 144 cards, how many will he give each friend? 13. At a concession stand, hot dogs are $1.50, hamburgers are $3, and soft drinks are $2. Write an expression for the total cost of buying h hot dogs, b hamburgers, and s soft drinks. Find the total cost of 3 hot dogs, 2 hamburgers, and 4 soft drinks. Write an algebraic expression and use it to solve each word problem. 13. Mike bought 45 stamps at the post office. After he used x stamps, he had x less than 45 stamps remaining. How many stamps did he have left after using 33 stamps? 1.5h 3b 2s; $18.50 14. At the Music Gallery all the CDs are on sale for 15% off the regular price p. Nathan bought 3 CDs that were all the same regular price. Write an expression that represents what Nathan paid before taxes. If the regular price of each CD Nathan bought was $13.50, what was the total cost before taxes? 45 x ; 12 stamps 14. At the deli Jackie bought y pounds of ham salad for $4.19 per pound. If she buys 3 pounds, how much will it cost? 4.19y ; $12.57 3(p 0.15p); $34.43 Holt Pre-Algebra 19 Copyright © by Holt, Rinehart and Winston. All rights reserved. Holt Middle School Math Reteach 1-2 Writing Algebraic Expressions LESSON Write an algebraic expression for each word phrase on the board. Evaluate each expression for x 2. What words tell you to add, subtract, multiply, or divide? Multiply 6n n times 6 Divide n 6 n divided by 6 the difference between n and 6 the product of n and 6 the quotient of n and 6 6 subtracted from n 6 multiplied by n 6 equal shares of n Add n 6 n plus 6 Subtract n minus 6 the sum of n and 6 n6 Then find a path from the top row to the bottom row that gives a total of 22. 6 less than n 3 times x 1 less than twice x 6 more than x x increased by 3 the quotient of twice x and 2 3x 6 2x 1 3 x68 x35 2x ᎏᎏ 2 2 1 more than x the product of 3 and x x decreased by 1 half of x x13 3x 6 x11 1 less than 3 times x the difference between 3 and x 3x 1 5 n decreased by 6 Give the algebraic expression that represents the word expression. 1. the quotient of n and 3 2. 3 more than n n3 n3 3. the factors 3 and n 4. n decreased by 3 n3 3n 5. 3 less than n 6. the product of n and 3 n3 3n 7. n increased by 3 Pre-Algebra Holt Holt Middle School Math 20 Copyright © by Holt, Rinehart and Winston. All rights reserved. Challenge 1-2 Amazing Math LESSON twice x increased by 3 x ᎏᎏ 1 2 2x 3 7 the difference between 2 and x the product of 4 and x the sum of 6 and twice x 3x1 2x0 4x 8 6 2x 10 twice x the difference between x and 1 the sum of x and 5 1 more than half of x 2x 4 x11 x57 x ᎏᎏ 1 2 2 the product of 4 and 3 times x 4(3x) 24 x increased by 2 the quotient of x and 2 7 increased by x the quotient of 6 and x 5 times x divided by 2 x ᎏᎏ 1 2 7x9 6 ᎏᎏ 3 x 5x ᎏᎏ 5 2 8. one-third times n 1 ᎏᎏn or n 3 3 n3 9. Michelle had $142 in her savings account. Write an expression to determine the number of dollars left in her account after she withdrew d dollars. 142 d 10. The Mortons are donating $1000 to buy gifts for the children spending Thanksgiving in a hospital ward. Write an expression to determine the amount to be spent on each of c children if they are to share equally in the donated money. 1000 c 11. The circumference of the earth is about 25,000 miles. Write an expression to determine the number of miles traveled after an airplane pilot travels x times around the earth. 25,000x Copyright © by Holt, Rinehart and Winston. All rights reserved. the product of 12 and a number p a number y decreased by 7 7x 12. a. Jonah wants to divide his baseball card collection of c cards equally among 6 friends. Write an expression to determine the number of cards he will give each friend. n increased by 6 8. 6 times the difference of a number z and 19 b 2 ᎏᎏ 11. a. Madeline worked x hours at a rate of $7 per hour. Write an expression to find out how much money Madeline earned. 6 added to n 25w 10 7. twice the quotient of a number b and 24 10(d 3) 10. 7 minus the product of 2 and a number x 11s 3 6. the sum of 25 times a number w and 10 9(d 13) 8. 10 times the difference of a number d and 3 9. the sum of 11 times a number s and 3 k k8 ᎏᎏ 8 or ᎏ ᎏ 9 9 5. 9 times the sum of a number d and 13 6. the quotient of 21 and a number b 7. 3 times the sum of a number b and 5 4. 8 less than a number k divided by 9 36 ᎏᎏ m 9n 5. 6 less than a number x n 11 3. the quotient of 36 and a number m 4. the product of a number n and 9 c 11 2. 11 less than a number n 1. a number p increased by 20 2. the sum of 4 and a number y 1. a number n divided by 5 21 Copyright © by Holt, Rinehart and Winston. All rights reserved. x24 22 Holt Pre-Algebra Holt Middle School Math Copyright © by Holt, Rinehart and Winston. All rights reserved. 109 22 Pre-Algebra Holt Holt Middle School Math Holt Pre-Algebra Holt Middle School Math
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