Algebraic Expressions and Perimeter Calculations

2. 4x + 2 What’s the coefficient? What’s the constant?

3. 4x + 2 What’s the coefficient? What’s the constant? 4 2

4. What’s the coefficient? What’s the constant?

5. What’s the coefficient? What’s the constant? 1/3 0

6. Which expression is equivalent to 24 + 30? 6(4+5) 6(4+6) 8(3+4) 8(3+12)

7. Which expression is equivalent to 24 + 30? 6(4+5) 6(4+6) 8(3+4) 8(3+12)

8. In the diagram of a pentagon below, the variables represent the lengths of the sides, in inches. 2 2x + 7y 5x + 3 2x + y x - y Write an expression using the variables x and y that could be used to find the perimeter of the pentagon. Simplify.

9. In the diagram of a pentagon below, the variables represent the lengths of the sides, in inches. 2 2x + 7y 5x + 3 2x + y x - y Write an expression using the variables x and y that could be used to find the perimeter of the pentagon. Simplify. 10x + 7y + 5

10. In the diagram of a pentagon below, the variables represent the lengths of the sides, in inches. 2 2x + 7y 5x + 3 2x + y x - y Let x = 2 and y = 3.

11. In the diagram of a pentagon below, the variables represent the lengths of the sides, in inches. 10x + 7y + 5 10(2) + 7(3) + 5 20+ 7(3) + 5 20 + 21 + 5 46 2 2x + 7y 5x + 3 2x + y x - y Let x = 2 and y = 3.

12. In the diagram of a pentagon below, the variables represent the lengths of the sides, in inches. Write an expression using the variables x and y that could be used to find the perimeter of the pentagon. Simplify. ____________________________ Use your expression to evaluate for when x = 2 and y = 1. ____________________________ 5x + 7y y + 6 x - 1

13. In the diagram of a pentagon below, the variables represent the lengths of the sides, in inches. Write an expression using the variables x and y that could be used to find the perimeter of the pentagon. Simplify. ____________________________ Use your expression to evaluate for when x = 2 and y = 1. ____________________________ 5x + 7y y + 6 6x + 8y + 5 x - 1 6(2) + 8(1) + 5 12 + 8 + 5 25

14. Mrs. Hartman joined Book of the Month club. For the first book she purchases, it will cost her $5. Each additional book she purchases will be $10. • If the number of books she purchases is 2, what is a numerical expression that represents her total cost? • If the number of books she purchases is 10, what is a numerical expression that represents her total cost? • Let b equal the number of books after the first book, write an algebraic expression that represents her total cost.

15. Mrs. Hartman joined Book of the Month club. For the first book she purchases, it will cost her $5. Each additional book she purchases will be $10. • If the number of books she purchases is 2, what is a numeric expression that represents her total cost? • If the number of books she purchases is 10, what is a numeric expression that represents her total cost? • Let b equal the number of books after the first book, write an algebraic expression that represents her total cost. 5 + 10(1) 5 + 10(9) 5 + 10b

16. What is the value of a² ÷ 3 + c - 2d, when a=6, b=8, c=2, and d= 5?

17. What is the value of a² ÷ 3 + c - 2d, when a=6, b=8, c=2, and d= 5? 4

18. Evaluate 5e ÷ g – f When e = 6, f = 5, and g = 3.

19. Evaluate 5e ÷ g – f When e = 6, f = 5, and g = 3. 5

20. 0.34 (1/2)5

21. 0.34 (1/2)5 0.0081 1/32

22. During a sale, all squishiesare ½ off the regular price.What numerical expression shows the amount of money saved on a squishy that had a regular price $10.00? What numerical expression shows the amount of money saved on a squishy that had a regular price $5.00?What algebraic expression shows the amount of money saved on a squishy that had a regular price of d dollars?

23. During a sale, all squishiesare ½ off the regular price.What numerical expression shows the amount of money saved on a squishy that had a regular price $10.00? What numerical expression shows the amount of money saved on a squishy that had a regular price $5.00?What algebraic expression shows the amount of money saved on a pillow that had a regular price of d dollars? 10 ÷ 2 or ½ (10) or 5 ÷ 2 or ½ (5) or d ÷ 2 or ½ (d) or

24. Write an algebraic expression that represents each situation. 1. The cost of a train ride is $2.50 per rider. How much money was collected if y riders rode the train? 2. Bob’s delivery vehicle started with 52 boxed lunches. How many boxed lunches are in the delivery vehicle if Bob has already delivered x boxed lunches? 3. Write an algebraic expression that represents the word expression “the quotient of 6 and a number, t.” 4. Bonnie has 15 cookies and she wants to share them equally among her friends. How many cookies does each friend receive if she shares them with x friends?

25. Write an algebraic expression that represents each situation. 1. The cost of a train ride is $2.50 per rider. How much money was collected if y riders rode the train? 2. Bob’s delivery vehicle started with 52 boxed lunches. How many boxed lunches are in the delivery vehicle if Bob has already delivered x boxed lunches? 3. Write an algebraic expression that represents the word expression “the quotient of 6 and a number, t.” 4. Bonnie has 15 cookies and she wants to share them equally among her friends. How many cookies does each friend receive if she shares them with x friends? 2.50y 52 - x 6÷t or 15÷x or

26. If the volume of a rectangular prism is found by l·w·h, What is the volume of a Rectangular prism with a length of 10 cm, a width of 2 cm, and a height of 3 cm?

27. If the volume of a rectangular prism is found by l·w·h, What is the volume of a Rectangular prism with a length of 10 cm, a width of 2 cm, and a height of 3 cm? 60 cm3

28. Kelly saves $5 every week. Which expression represents the amount of money, in dollars, Kelly will save in w weeks? 5+w 5-w 5w 5/w

29. Kelly saves $5 every week. Which expression represents the amount of money, in dollars, Kelly will save in w weeks? 5+w 5-w 5w 5/w

30. Simplify each algebraic Expression: • 3(2x +3) + 2(x+ 5x)   • 6(y + 3) + 4

31. Simplify each algebraic Expression: • 3(2x +3) + 2(x+ 5x)   • 2. 6(y + 3) + 4 6x + 9 + 2x +10x 18x + 9 6y + 18 +4 6y + 22

32. Which of the following is equivalent to the expression below? 4 x 4 x 4 x 4 x 4 a. b. c. d. e. 5 x 4

33. Which of the following is equivalent to the expression below? 4 x 4 x 4 x 4 x 4 a. b. c. d. e. 5 x 4

34. Which verbal expression best represents the algebraic Expression 7n – 2? two less than seven times a number seven less than two times a number seven times two subtracted from a number two times the difference of a number and seven

35. Which verbal expression best represents the algebraic Expression 7n – 2? two less than seven times a number seven less than two times a number seven times two subtracted from a number two times the difference of a number and seven

36. Which expression is equivalent to 5y + 2y + 6x + 2y – x? 5x + 6y 5x + 7y 5x + 9y 7x + 7y

37. Which expression is equivalent to 5y + 2y + 6x + 2y – x? 5x + 6y 5x + 7y 5x + 9y 7x + 7y

38. Evaluate the following Expression: + (5 + 2)2 · 2 - 4

39. Evaluate the following Expression: + (5 + 2)2 · 2 - 4 18/2 + (7)2 · 2 – 4 18/2 + 49 · 2 - 4 9 + 49 · 2 - 4 9 + 98 – 4 107 - 4 103