Write an algebraic expression for each of the following.
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1 5 CHAPTER Algebra Worksheet 1 Complete. Using Letters as Numbers 1. Add 3 to Subtract 6 from more than 3 is less than 9 is. Write an algebraic expression for each of the following. Subtract 3 from k. k 3 An algebraic expression contains numbers, variables, and operation symbols. In this expression, k is the variable. 5. Add 2 to x. 6. Subtract y from more than t less than s. Reteach 5A 143
2 Complete the tables. 9. Child Present age 5 years ago 3 years from now 10 years from now Tim 8 Ken x x 5 Sid y 10. Child Present age x years ago t years from now y years from now Tar a 8 May 13 Evaluate each expression for the given values of x. 11. Value of the expression Expression x 5 3 x 5 15 x x x 2 Complete groups of groups of is the same as 2. To evaluate means to fi nd the value. When x 3, x Chapter 5 Lesson 5.1
3 Write an algebraic expression for each of the following. Multiply p by 6. Divide p by 6. p_ 6 6p 15. Multiply 3 by h. 16. Divide 5 by t. 17. Half of f. 18. Twice the value of b. Complete the tables. 19. There are m socks in each bag. Number of Bags Total Number of Socks 1 m A box contains g crayons. The crayons are shared equally among some children. Number of Crayons Number of Children Each Child Gets 3 _ g Reteach 5A 145
4 Circle the correct expression in each set for n n n 4n 4 n n 32n 32 n n 32 _ n 23. 5n n 524 5n _ n n 2_ n 2 n n_ 2 Complete the table. 25. Child Present age 4 years ago 3 years from now 10 years from now Faye 5t 5t 4 Elijah 10u Evaluate each expression for the given values of x. 26. Expression 4x x_ 3 3x 5 _ 5x 6 _ 20 x 2 Value of the expression x 5 3 x Chapter 5 Lesson 5.1
5 Worksheet 2 Complete. Simplifying Algebraic Expressions Simplify each expression. x x x 3 x 5. y y y y y 5 6. s s s s s s 6 7. t t t t t t t t Complete. 8. 3p 9. 8w Reteach 5A 147
6 Write an expression to represent each model. a a a a a 4a + a 4a and a are like terms because they are multiples of a. 10. b b b b b b b 11. w w w w w w w w w 12. y y y y y y y y y y 13. z z z z z z z z 148 Chapter 5 Lesson 5.2
7 Look at each model. Then fill in the blanks. 2a 3a 2a 3a 5 a 5 a 3 a 2a 14. 3b 4b 4b 3b b b b 3b 15. 5p 7p p p p p p 7p 16. 5y 3y y y y y y 5y 17. 4m 4m m m m m m 4m Reteach 5A 149
8 Simplify each expression x 4x 19. 6y 3y 20. 7c 2c d 5d f 8f g 29g Simplify each expression. 8d 2d 4d 6d 4d 10d As in the addition and subtraction of whole numbers, work from left to right x 3x 2x b 4b 3b 26. 6c 7c 3c 27. 8d 2d 9d f 8f 4f g 9g 5g 150 Chapter 5 Lesson 5.2
9 Simplify each expression. 9d 8 2d 4 11d 4 Collect like terms. 9d 2d 11d w 5 2w p 7p d 4d k 7 5k f 5 4f g 10 g 2 Reteach 5A 151
10 Write an algebraic expression for each situation. 36. Alison walked 7x kilometers from her house to the library. She then walked 4x kilometers from the library to her school. What was the total distance Alison walked? 37. Mrs. Wilson bought 3h red party hats, 4 blue party hats, and 5h yellow party hats. How many party hats did Mrs. Wilson buy in all? 38. Each tray contains 12 eggs. Mr. Harris has 6x eggs and a full tray of eggs. Mrs. King has 2x fewer eggs than Mr. Harris. How many eggs does Mrs. King have? 152 Chapter 5 Lesson 5.2
11 Worksheet 3 Inequalities and Equations Write true or false next to each statement. 1. means less than. 2. means greater than Write five possible values for each variable. 5. x 2 x can be. 6. y 10 y can be. Write five impossible values of each variable. 7. u 15 u cannot be. 8. v 36 v cannot be. Reteach 5A 153
12 Compare. Write 5,,, or.. For a 5, 7a > 25 7a a is not equal to 25. 7a 25 is an inequality. 9. For y 8, 9y For z 9, 6z For p 7, 28 4p 12. For q 4, 36 7q 13. For r 6, 55 9r 14. For n 5, 35 7n 154 Chapter 5 Lesson 5.3
13 Evaluate each expression for the given value of the variable. 15. For x 8, 6x For y 12, 7y 14. Complete with 5,,, or., for a a a a a Reteach 5A 155
14 Solve each equation. 4r r r 16 4r r 4 4r 8 24 is an equation. 4r 8 has a value of 24. To solve an equation means to fi nd the value of the variable x x x x x x Chapter 5 Lesson 5.3
15 Worksheet 4 Real-World Problems: Algebra Solve. Show your work. 1. A bag contains y fruits. A box can hold 4 times as many fruits as the bag. a. How many fruits can the box hold? b. If y 8, how many fruits can the box hold? 2. Ryan is 127 centimeters tall. Serena is p centimeters taller than Ryan. a. Find the height of Serena in terms of p. b. What is their combined height in terms of p? c. If p 9, fi nd their combined height. Reteach 5A 157
16 Solve. Show your work. 3. Beth had k dollars. She spent 8 dollars on a bag and the rest of the money on 4 notepads. a. Find the cost of each notepad in terms of k. b. If Beth had $16 at fi rst, fi nd the cost of each notepad. 4. Bruce has (2m 7) stamps and Gregory has (7m 35) stamps. If m 8, a. how many stamps does each boy have? b. who has more stamps? c. how many more stamps must one of the boys buy so that both boys have the same number of stamps? 158 Chapter 5 Lesson 5.4
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