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Expressions

Expressions. Question 1 - 10. Write two expressions equivalent to 4x + 4y. 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). Question 1 - 20.

Expressions

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1. Expressions

2. Question 1 - 10 • Write two expressions equivalent to 4x + 4y

3. 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)

4. Question 1 - 20 • Use the distributive property to write an expression that is equivalent to 7(3x – 4).

5. Answer 1 – 20 • 21x – 28

6. Question 1 - 30 • Use the distributive property to find an expression that is equivalent to 27x2 – 42x + 12.

7. Answer 1 – 30 • 3(9x2 – 14x + 12)

8. Question 1 - 40 • Find Jon’s mistake.

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

10. Question 1 - 50

12. Question 2 - 10 • 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?

13. Answer 2 – 10 • 4x + 4y • 4(x + y)

14. Question 2 - 20 • 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.

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

16. Question 2 - 30 • 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).

17. Answer 2 – 30 • 12 + 4x • 4x + 12

18. Question 2 - 40 • 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.

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

20. Question 2 - 50 • 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.

21. Answer 2 – 50 • 2b + 3

22. Question 3 - 10 • The price of a \$198.00 smart phone is discounted 40% for a special promotion. What is the sale price of the phone?

23. Answer 3 – 10 • 198.00 - 198.00(.40) = 118.80

24. Question 3 - 20 • A customer calculated the cost of a new jacket, c, including a 7% sales tax. Write two expressions to represent the situation.

25. Answer 3 – 20 • 1.07c • c + .07c

26. Question 3 - 30 • 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.

27. Answer 3 – 30 • 15(1.65) • 15 + (.65)15

28. Question 3 - 40 • 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?

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

30. Question 3 - 50 • The price of headphones that regularly sell for \$99 increases by 30%. Write an expression to represent the new price of the headphones.

31. Answer 3 – 50 • 99(1.3) • 99 + (.3)99

32. Question 4 - 10 • Write two expressions to represent the perimeter of the square.

33. Answer 4 – 10 • 4(c – 9) • (c – 9) + (c – 9) + (c – 9) + (c – 9)

34. Question 4 - 20

36. Question 4 - 30 • 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.

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

38. Question 4 - 40 • 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.

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

40. Question 4 - 50

41. Answer 4 – 50 • A, C, E

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