1. Expressions
Created by Educational Technology Network

2. Equivalent Expressions
Creating Expressions
Percents
Shapes 10 20 30 40 50

3. Question
Write two expressions equivalent to 4x + 4y

4. Answer 1 – 10 4(x + y) x + x + x + x + y + y + y + y
2(x + y) + 2(x + y)
(x + y) + (x + y) + (x + y) + (x + y)

5. Question
Use the distributive property to write an expression that is equivalent to 7(3x – 4).

6. Answer 1 – 20
21x – 28

7. Question
Use the distributive property to find an expression that is equivalent to
27x2 – 42x + 12.

8. Answer 1 – 30
3(9x2 – 14x + 12)

9. Question
Find Jon’s mistake.

10. Answer 1 – 40
Jon didn’t follow the order of operations. He subtracted 7 and 3 instead of distributing the 3.

11. Question

12. Answer 1 – 50

13. Question
Micah and three friends bought a total of 4 bags of pretzels and 4 drinks at the snack stand. If a bag of pretzels costs x dollars, and a drink costs y dollars, what expression could you write to show how much the friends spent in all?

14. Answer 2 – 10
4x + 4y
4(x + y)

15. Question
Stephanie wants to buy s tomato plants, and Diego wants to buy d tomato plants. Each plant costs $7. Stephanie will use a coupon that will give them $25 off the total cost of all their plants. Write an expression to represent the total cost of all the plants with the discount.

16. Answer 2 – 20
7(s + d) – 25
7s + 7d – 25

17. Question
Leroy plants a flower garden that is 4 m long and more than 3 m wide. The expression 4(3 + x) represents the area of the garden. Write an expression that is equivalent to 4(3 + x).

18. Answer 2 – 30
12 + 4x
4x + 12

19. Question
Jonathan and Trina both earn $12 per hour, but Trina earned a $15 bonus this week for being on time every day. Let J = number of hours that Jonathan worked this week and T = number of hours that Trina worked this week. Write an expression to represent the total amount that Jonathan and Trina earned this week.

20. Answer 2 – 40
12(J + T) + 15
12J + 12T + 15

21. Question
Jim starts with 3 lives on his video game. He earns 2 lives every time he crushes a certain number of boxes, b. Write an expression to represent the number of lives Jim has in his video game.

22. Answer 2 – 50
2b + 3

23. Question
The price of a $ smart phone is discounted 40% for a special promotion. What is the sale price of the phone?

24. Answer 3 – 10
(.40) =

25. Question
A customer calculated the cost of a new jacket, c, including a 7% sales tax. Write two expressions to represent the situation.

26. Answer 3 – 20
1.07c
c + .07c

27. Question
A store manager paid $15 for a computer case and sells it in the store for 65% more than she paid. Write an expression to represent the price of the computer case in the store.

28. Answer 3 – 30
15(1.65)
15 + (.65)15

29. Question
A camcorder with a price of $300. It is discounted 25%, then discounted again by another 15%. Write an expression to represent the final price of the camcorder.
Chris says that the two discounts are equivalent to a single discount of 25% + 15%, or 40%. Do you agree?

30. Answer 3 – 40 (300 – (.25)300) - .15(300 – (.25)300) (.75 x 300)(.85)
The discounts are not equal to a 40% discount.

31. Question
The price of headphones that regularly sell for $99 increases by 30%. Write an expression to represent the new price of the headphones.

32. Answer 3 – 50
99(1.3)
99 + (.3)99

33. Question
Write two expressions to represent the perimeter of the square.

34. Answer 4 – 10
4(c – 9)
(c – 9) + (c – 9) + (c – 9) + (c – 9)

35. Question

36. Answer 4 – 20

37. Question
The length of a rectangle is x feet. Its width is (x – 7) feet. Draw and label a rectangle to represent this situation. Then write three different expressions you could use to find its perimeter.

38. Answer 4 – 30
2x + 2(x – 7)
2x + 2x – 14
4x – 14
2(2x – 7)

39. Question
Each of the two congruent sides of an isosceles triangle is 2n + 7 and the third side is 3n. Draw and label the triangle. Then write two equivalent expressions for its perimeter.

40. Answer 4 – 40
(2n + 7) + (2n + 7) + 3n
7n + 14
7(n + 2)

41. Question

42. Answer 4 – 50
A, C, E